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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="1.3" xml:lang="en" article-type="research-article"><?properties manuscript?><processing-meta base-tagset="archiving" mathml-version="3.0" table-model="xhtml" tagset-family="jats"><restricted-by>pmc</restricted-by></processing-meta><front><journal-meta><journal-id journal-id-type="nlm-journal-id">9918316882806676</journal-id><journal-id journal-id-type="pubmed-jr-id">51223</journal-id><journal-id journal-id-type="nlm-ta">Bull Seismol Soc Am</journal-id><journal-id journal-id-type="iso-abbrev">Bull Seismol Soc Am</journal-id><journal-title-group><journal-title>The bulletin of the Seismological Society of America : BSSA</journal-title></journal-title-group><issn pub-type="ppub">0037-1106</issn><issn pub-type="epub">1943-3573</issn></journal-meta><article-meta><article-id pub-id-type="pmid">38799380</article-id><article-id pub-id-type="pmc">11117460</article-id><article-id pub-id-type="doi">10.1785/0120220219</article-id><article-id pub-id-type="manuscript">HHSPA1993631</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Seismoacoustic Monitoring of a Longwall Face Using Distributed Acoustic Sensing</article-title></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid" authenticated="false">http://orcid.org/0000-0003-3656-6607</contrib-id><name><surname>Chambers</surname><given-names>Derrick</given-names></name><xref rid="CR1" ref-type="corresp">*</xref><xref rid="A1" ref-type="aff">1</xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid" authenticated="false">http://orcid.org/0000-0002-1986-0399</contrib-id><name><surname>Shragge</surname><given-names>Jeffrey</given-names></name><xref rid="A2" ref-type="aff">2</xref></contrib></contrib-group><aff id="A1"><label>1.</label>National Institute for Occupational Safety and Health, Spokane, Washington, U.S.A.</aff><aff id="A2"><label>2.</label>Center for Wave Phenomena and Department of Geophysics, Colorado School of Mines, Golden, Colorado, U.S.A.</aff><author-notes><corresp id="CR1"><label>*</label>Corresponding author: <email>derchambers@cdc.gov</email></corresp></author-notes><pub-date pub-type="nihms-submitted"><day>14</day><month>5</month><year>2024</year></pub-date><pub-date pub-type="ppub"><year>2023</year></pub-date><pub-date pub-type="pmc-release"><day>24</day><month>5</month><year>2024</year></pub-date><volume>113</volume><issue>4</issue><fpage>1652</fpage><lpage>1663</lpage><abstract id="ABS1"><p id="P1">Violent, dynamic failures of rockmasses in underground mines pose significant hazards to workers and operations. Over the past several decades, hardrock mines have widely adopted seismic monitoring to help address such risks. However, coal mines, particularly those employing the longwall mining method, have struggled to implement similar monitoring strategies. This is because typical longwall mines are much larger and mine more rapidly than hardrock mines. Moreover, regulations place significant restrictions on the subsurface use of electronics in coal mines due to potentially explosive atmospheres. We present a new monitoring concept that uses distributed acoustic sensing (DAS) to turn an entire longwall face into a seismoacoustic array. After exploring the acoustic response of our sensors in the laboratory, we deployed the array at an active underground longwall mine for several days. We examine 33 events recorded by both the in-mine DAS array and a surface seismic network. We observed that the array records both seismic vibrations traveling through rock and mining equipment as well as sound waves propagating in the workings. We show that waveform moveouts are clearly visible, and that the standard deviation of the audio recordings is a straightforward yet promising metric that could help quantify burst damage. Although improvements are needed before mines can routinely use this monitoring strategy, DAS-based seismoacoustic arrays may assist in understanding coal-burst mechanisms and managing associated risks in underground longwall mines as well as enable better understanding of damage associated with dynamic failures in other underground environments.</p></abstract></article-meta></front><body><sec id="S1"><title>INTRODUCTION</title><p id="P2">Coal bursts are violent, dynamic failures occurring in underground coal mines. Similar to rockbursts experienced by hardrock mines, coal bursts can disrupt mine operations, damage equipment, and potentially result in injuries or fatalities. Although notoriously difficult to predict, <xref rid="R14" ref-type="bibr">Mark (2016)</xref> identified several coal burst &#x0201c;risk factors&#x0201d; that include: significant depth of cover (&#x0003e;450 m), dipping stratigraphy, and the presence of stiff competent rocks in the roof and/or floor. It is difficult to estimate the global impact of coal bursts, because terminology and reporting criteria vary widely between countries, but <xref rid="R15" ref-type="bibr">Mark (2018)</xref> identified approximately 280 coal bursts between 1983 and 2017 in the U.S. mines, seven of which resulted in one or more fatalities. In China, 200 coal mines have reported coal bursts that resulted in at least 100 fatalities and 1000 injuries in the past decade (<xref rid="R21" ref-type="bibr">Rong <italic toggle="yes">et al</italic>., 2022</xref>). Likewise, the Upper Silesian Coal basin shared between Poland and the Czech Republic has experienced over 100 &#x0201c;significant events,&#x0201d; some of which resulted in injuries and fatalities (<xref rid="R18" ref-type="bibr">Mutke <italic toggle="yes">et al</italic>., 2015</xref>). Many other countries with coal mines have reported coal bursts, including Germany, Japan, Australia, and Russia.</p><p id="P3">Seismic monitoring is an important part of rockburst risk management in deep hardrock mines (<xref rid="R17" ref-type="bibr">Mendecki <italic toggle="yes">et al</italic>., 2010</xref>). Hardrock mines primarily employ networks of accelerometers or geophones installed in boreholes drilled from mine workings. Coal mining operations, though, have struggled to adopt this type of seismic monitoring (for more than short-term research projects) due to vast differences in mining rates and scales, regulations governing the operation and placement of electronics, geological complexities, and a variety of other challenges (<xref rid="R22" ref-type="bibr">Swanson <italic toggle="yes">et al</italic>., 2016</xref>). The greatest adoption rates are in the burst-prone Chinese coal mines where regulations mandate the implementation of &#x0201c;monitoring and forewarning&#x0201d; plans (<xref rid="R20" ref-type="bibr">Qi <italic toggle="yes">et al</italic>., 2015</xref>). The scarcity of voluntary (i.e., not government mandated) adoption among many burst-prone coal mines indicates that improvements to monitoring strategies and technologies are needed for coal mines to fully realize the benefits of seismic monitoring.</p><p id="P4">The most productive form of underground coal extraction is longwall mining. Longwalls mine a block of coal called a panel, for which access tunnels are developed beforehand via continuous mining machines. Typical longwall panel widths vary from 0.1 to 0.3 km, panel lengths can reach in excess of 1.5 km, and mining rates can exceed 10 m of face advance per day. The tunnels on either side of the panel are known as gateroads. Gateroads are subdivided into entries (usually between two and five) by coal pillars left for stability. The gateroad on the side of the panel heading deeper into the mine (e.g., adjacent to the next panel to be mined) is known as the headgate, and the other is known as the tailgate. On a high level, a longwall consists of hydraulic shields for supporting the roof, an armored conveyor belt for removing the coal, and a shearer traveling up and down the face cutting and knocking the coal onto the conveyor belt (<xref rid="F1" ref-type="fig">Fig. 1</xref>). Once sufficient coal is removed, groups of shields advance and the roof collapses behind them forming a caved-out zone known as a &#x0201c;gob&#x0201d; or &#x0201c;goaf.&#x0201d;</p><p id="P5">Distributed acoustic sensing (DAS) is a relatively new technology that employs rapid laser pulses to sense subtle strains in fiber-optic cable (with fiber lengths of several kilometers or longer). Because DAS can use commodity fiber-optic cable approved for use anywhere in a coal mine, including the previously deployed communication fiber, DAS networks may enable entirely new or hybrid seismic monitoring approaches that are better suited for longwall mines than current monitoring methods. Although at any point along the sensing cable DAS has a much lower sensitivity than a geophone or accelerometer, its distributed nature and per-channel cost-effectiveness have made possible, or greatly improved, a wide range of geophysical sensing applications (<xref rid="R10" ref-type="bibr">Lindsey and Martin, 2021</xref>). DAS applications to the mining industry are rare, but a few recent studies have explored the topic. <xref rid="R25" ref-type="bibr">Zeng <italic toggle="yes">et al</italic>. (2021)</xref> temporarily deployed DAS cables in a few different configurations on the floor of a limestone mine to record signals from an accelerated weight-drop source and production blasts. <xref rid="R4" ref-type="bibr">Du Toit <italic toggle="yes">et al</italic>. (2022)</xref> monitored seismicity for two weeks with DAS at an active mine by deploying fiber along the metal mesh, which supports the mine walls, and fiber in a grouted borehole. They then compared the induced seismicity recordings to in-mine microseismic sensors. <xref rid="R13" ref-type="bibr">Luo and Duan (2022)</xref> used DAS with a trenched cable on the surface and a cable in a vertical borehole to monitor seismicity and caving associated with longwall coal mining.</p><p id="P6">Although the bulk of geophysical DAS research focuses on recording vibrations transmitted through solid materials, some DAS studies have recorded the transmission of mechanical waves through fluids. <xref rid="R27" ref-type="bibr">Zuo <italic toggle="yes">et al</italic>. (2021)</xref> characterized the signals transmitted via boat to lake-bed armored fiber cables as the first step in using ocean-bottom cables as receivers for underwater communication. <xref rid="R11" ref-type="bibr">Lior <italic toggle="yes">et al</italic>. (2021)</xref> used seafloor fiber cables for imaging an underwater basin using ambient noise tomography. Efforts to use fiber-optic technology to record sound waves date back at least to <xref rid="R3" ref-type="bibr">Cole <italic toggle="yes">et al</italic>. (1977)</xref>, and several high-quality, fiber-based microphones have been commercially available for more than a decade (e.g., <xref rid="R1" ref-type="bibr">Bucaro <italic toggle="yes">et al</italic>., 2005</xref>). However, efforts to use DAS, which is also known as phase-coherent optical time domain reflectometry (OTDR), to construct a distributed array of acoustic sensors is relatively recent. <xref rid="R12" ref-type="bibr">Liu <italic toggle="yes">et al</italic>. (2021)</xref> demonstrated using a phase-based OTDR to create an array of 3D printed pucks wrapped with fiber for locating acoustic source located underwater and in air. <xref rid="R9" ref-type="bibr">Li <italic toggle="yes">et al</italic>. (2020)</xref> used a coherent OTDR to construct an array of acoustic sensors by wrapping fiber around 3D-printed hollow cylinders.</p><p id="P7">We present a new DAS-based monitoring approach, which consists of fiber-optic microphones and cable fastened to mining equipment, deployed on a longwall, for studying coal bursts occurring near the mining face. Because the seismoacoustic recordings are made in close proximity to burst damage, data of this type may provide insights about damage processes and associated hazards that are not provided by more distant recordings typical of other monitoring methods. Moreover, our approach eliminates or alleviates many of the operational challenges associated with traditional in-mine monitoring of longwall coal mines.</p><p id="P8">We begin by discussing the fabrication and testing of a DAS-based fiber-optic microphone based on the design of <xref rid="R9" ref-type="bibr">Li <italic toggle="yes">et al</italic>. (2020)</xref>. We then detail the deployment of the seismoacoustic array on a longwall in an active underground coal mine. Next, we discuss a simple metric that shows potential for quantifying face damage and could offer insight into burst mechanics. Finally, we compare the advantages and disadvantages of this longwall DAS monitoring approach with traditional in-mine networks, discuss the potential of DAS for understanding burst damage in underground mines, and outline future work needed before routine use of fiber-optic seismoacoustic monitoring can be widely adopted by the mining industry.</p></sec><sec id="S2"><title>ARRAY DEVELOPMENT</title><p id="P9">The seismoacoustic array consists of fiber-optic cable attached to the longwall and the DAS microphones, which we designed, fabricated, and tested in the lab. The numerical modeling efforts of <xref rid="R9" ref-type="bibr">Li <italic toggle="yes">et al</italic>. (2020)</xref> indicate that microphone sensitivity increases with increasing cylinder radius, decreasing wall thickness, decreasing elastic modulus (stiffness), and increasing Poisson&#x02019;s ratio. Rather than attempt to build a perfect microphone that optimizes all these parameters, we selected a commercially available polyethylene terephthalate glycol (PETG) cylinder typically used for packaging. PETG was preferred for its low stiffness, high Poisson&#x02019;s ratio, and cost-effectiveness in relation to other common plastics. Each cylinder had an outer diameter of 104.3 mm, a wall thickness of 0.7 mm, a length of 305 mm, and cost less than a few USD. We used a hand drill and custom extension to wrap approximately 90 m of single-mode, tight-buffered fiber around each cylinder to construct the microphones, which were then interconnected via single-mode signal cable approved by the Mine Safety and Health Administration (MSHA) for use in coal mines. We recorded the data presented in this article using a Treble true-phase DAS interrogator from Terra15 Pty. Ltd. The Treble interrogator is somewhat unique in that it records velocity (i.e., along-fiber deformation rate) rather than strain rate. <xref rid="T1" ref-type="table">Table 1</xref> shows the interrogator configuration, which was identical for the lab experiment and field deployment.</p><p id="P10">Because the performance of the DAS-microphone system depends on numerous factors, including the interrogator, cable type, cylinder geometry, and properties, we found it necessary to first evaluate the acoustic response of the system in a controlled setting. To that end, we constructed a cubic chamber, approximately 1.2 m in length, with one open side. The chamber was lined with jagged foam to dampen sound reflections. We then suspended the DAS microphone about mid-chamber and used a 12 W programmable speaker to play monotones (harmonics) ranging from 75 Hz to 2500 kHz into the chamber. We selected the lower end of this range because the speaker was incapable of producing lower frequencies, whereas the upper end represents a reasonable limit for corner frequencies of mining-induced events as small as moment magnitude &#x02212;2.0 (<xref rid="R22" ref-type="bibr">Swanson <italic toggle="yes">et al</italic>., 2016</xref>). We tested a measurement microphone, the MiniDSP UMIK1, in an identical manner to compare the DAS microphone&#x02019;s response to the UMIK1&#x02019;s known response.</p><p id="P11">To aggregate the data channels along the DAS microphone into a single data stream, we calculated an average strain rate for each cylinder according to
<disp-formula id="FD1">
<label>(1)</label>
<mml:math id="M9" display="block"><mml:mrow><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:mo>|</mml:mo><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mo>|</mml:mo></mml:mrow></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math>
</disp-formula>
in which <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> is the along-fiber strain rate (1/s); <inline-formula><mml:math id="M11" display="inline"><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover></mml:math></inline-formula> is the along-fiber velocity (m/s, output format of interrogator unit); <italic toggle="yes">t</italic> is the time (s); and <italic toggle="yes">x</italic><sub>1</sub> and <italic toggle="yes">x</italic><sub>2</sub> are the start and end <italic toggle="yes">x</italic> positions of the fiber segment wrapping the cylinder. The physical meaning of the measurement is an averaged circumferential strain rate of the cylinder-fiber composite (assuming perfect fiber-cylinder coupling).</p><p id="P12">We compute a frequency-dependent signal-to-noise ratio, SNR(<italic toggle="yes">f</italic>), for each harmonic&#x02013;microphone pair, which provides a means of comparing the frequency sensitivities between the DAS microphone and UMIK1. The SNR(<italic toggle="yes">f</italic>) is determined from the power spectrum composed of nonoverlapping short-time Fourier transform segments for 1.0 s of data for each microphone&#x02019;s recording of the harmonics and a quiet period taken as representative of background noise levels. We then divide the sum of the power spectra around the signal source frequency by the sum of the background noise over the same frequencies:
<disp-formula id="FD2">
<label>(2)</label>
<mml:math id="M12" display="block"><mml:mrow><mml:mtext>SNR</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msubsup><mml:mstyle><mml:mo>&#x02211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:mi>S</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:msubsup><mml:mstyle><mml:mo>&#x02211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:mi>B</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math>
</disp-formula>
in which <italic toggle="yes">S</italic>(<italic toggle="yes">f</italic>) is the signal power spectrum; <italic toggle="yes">B</italic>(<italic toggle="yes">f</italic>) is the background power spectrum; <italic toggle="yes">f</italic> is frequency (Hz); and frequency limits <italic toggle="yes">f</italic>
<sub>1</sub> and <italic toggle="yes">f</italic>
<sub>2</sub> are <italic toggle="yes">f</italic> &#x000b1; 5 Hz, respectively (<xref rid="F2" ref-type="fig">Fig. 2a</xref>).</p><p id="P13">The power ratios between the microphones for each harmonic were calculated in a similar manner, but the output of the UMIK1 was first adjusted according to the amplitude calibration curve provided by the manufacturer:
<disp-formula id="FD3">
<label>(3)</label>
<mml:math id="M13" display="block"><mml:mrow><mml:mi>P</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msubsup><mml:mstyle><mml:mo>&#x02211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:msubsup><mml:mstyle><mml:mo>&#x02211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mtext>UMIK</mml:mtext><mml:mn>1</mml:mn></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math>
</disp-formula>
in which <italic toggle="yes">P</italic><sub>mic</sub>(<italic toggle="yes">f</italic>) is the DAS-microphone power spectra; and <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mtext>UMIK</mml:mtext><mml:mn>1</mml:mn></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> is the adjusted UMIK1 microphone power spectra (<xref rid="F2" ref-type="fig">Fig. 2b</xref>).</p><p id="P14">Unfortunately, due to the complex interactions with various operating system-level features and settings, the sensitivity factor needed to convert <italic toggle="yes">P</italic><sub>UMIK1</sub> to absolute sound pressure level is scaled by some unknown constant (<italic toggle="yes">&#x003b1;</italic>). Moreover, the UMIK1 manufacturer provides no phase information for the microphone response. Therefore, <xref rid="F2" ref-type="fig">Figure 2b</xref> shows a band-limited approximation of the power spectrum of the inverse of the transfer function scaled by <italic toggle="yes">&#x003b1;</italic> and cannot be used to convert from cylinder strain rate to absolute sound pressure level. However, <xref rid="F2" ref-type="fig">Figure 2</xref> is still useful in understanding general trends of the microphone response.</p><p id="P15">Compared to the measurement microphones, the DAS cylinder microphone records lower SNR(f) values for most frequencies except for some bands between 500 and 1200 Hz. The DAS-microphone performance is probably acceptable over the entire tested range but, considering the sharp low-frequency drop-off in both plots of <xref rid="F2" ref-type="fig">Figure 2</xref>, may not be adequate to record frequencies much lower than 75 Hz. The limited band response of the microphone is a major shortcoming, because the anticipated corner frequencies of mine events with moment magnitudes between 0 and 3 range from low hundreds to only a few Hz (<xref rid="R22" ref-type="bibr">Swanson <italic toggle="yes">et al</italic>., 2016</xref>).</p><p id="P16">We also tested the effects of adding more cable between the interrogator and the microphone, which simulates longer cable runs and, because the microphones are just cable wrapped around plastic cylinders, more microphones in the array. We found that the background noise levels increased slightly, but there was no significant difference in the microphone response. Therefore, if the microphones are similar in their dimensions and length of wrapped cable, they will have very similar responses.</p><p id="P17">After characterizing the response of a single microphone, we developed an array of DAS microphones connected by signal cable (referred to as &#x0201c;lead cable&#x0201d;) with a grooved block in the center of the cylinders to relieve tension and protect splices (<xref rid="F3" ref-type="fig">Fig. 3</xref>). The entire array consisted of two sections each with seven DAS microphones.</p></sec><sec id="S3"><title>ARRAY DEPLOYMENT</title><p id="P18">We conducted a field trial of our microphone array at an underground longwall coal mine in the western United States. The active panel was approximately 0.65 km deep. The interrogator was located at a power center (high-voltage transformer) approximately 0.4 km from the longwall. We fastened the fiber-optic signal cable to the monorail, which contains a suspended &#x0201c;accordion-like&#x0201d; structure that manages cables and hoses leading to the mining face by folding up as the longwall advances. The microphone array was connected to the signal cable, and one microphone deployed every ten shields&#x02014;a span of approximately 17.2 m (<xref rid="F4" ref-type="fig">Fig. 4</xref>). The lead cables were fastened to the longwall hydraulic hoses using zip ties. Because the hydraulic hoses must accommodate movement as shields advance, significantly more slack was needed than the width of a shield. Consequently, the length of the fiber-optic cable between each microphone was approximately 35 m. We performed a tap test to map each distance along the fiber to a physical location, and determined the distance ranges that constituted the microphones and lead cables. In addition, knowing the amount of fiber wrapped around the microphones and length of the lead cables provided bounds for these values. Although it is possible the cable fastened to the monorail recorded useful signals, it would be difficult to spatially orient the fiber because it gets folded up as the longwall advances. Consequently, we focused solely on the microphones and fiber deployed on the longwall.</p><p id="P19">The seismoacoustic array operated for 80 hr including three full 10 hr shifts and one partial shift. Around hour 80, one of the lead cables was pulled back into the gob, which disabled half of the array and ended data acquisition efforts. During the deployment, 35 seismic events were detected by a surface seismic network, ranging in magnitude from <italic toggle="yes">M</italic><sub>L</sub> 1.2 to 2.0. However, due to a small data gap, only 33 events were recorded by the DAS array. To manage the scope of this study, we restricted our efforts to examining signals from the 33 events; however, we are confident that the array could detect many more events, especially if the periodic noise associated with longwall operation can be suppressed with filtering.</p></sec><sec id="S4"><title>PROCESSING METHODS</title><sec id="S5"><title>Data aggregation</title><p id="P20">The data associated with each microphone and lead cable sections were segmented, labeled, and stored based on the results of the tap test. Velocity data were then converted to strain rate for both types of fiber segments (DAS microphone and lead cables). First, the beginning and ending channels for each microphone were discarded to avoid contamination with lead cable data. Next, strain rates were calculated according to <xref rid="FD1" ref-type="disp-formula">equation 1</xref>. For the microphones, <italic toggle="yes">x</italic><sub>1</sub> and <italic toggle="yes">x</italic><sub>2</sub> were selected to form a single channel for the entire microphone. For the lead cable, <italic toggle="yes">x</italic><sub>1</sub> and <italic toggle="yes">x</italic><sub>2</sub> span a single spatial channel (5.72 m). We retained only the center two channels for lead cables between each microphone. We then assigned a new distance to each strain-rate channel corresponding to center of the fiber&#x02019;s physical distance along the longwall face, 0 m being on the headgate side.</p></sec><sec id="S6"><title>Waveform parameterization</title><p id="P21">Because full wavefield modeling is beyond the scope of this study, we selected two parameters to summarize the recorded signals. First, we manually inspected the lead cable channels for each event and estimated first arrival times. The microphone channels mostly exhibited emergent signals, and usually only a few (two to six) microphone recordings were significantly above the background noise levels. Although there are many approaches to quantifying signal amplitude, including peak values, duration, and statistical properties, we selected a modified form of standard deviation:
<disp-formula id="FD4">
<label>(4)</label>
<mml:math id="M15" display="block"><mml:mrow><mml:msup><mml:mi>&#x003c3;</mml:mi><mml:mo>&#x02032;</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mfrac><mml:mrow><mml:mo>&#x02211;</mml:mo><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mi>s</mml:mi></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>&#x003bc;</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:math>
</disp-formula>
in which <italic toggle="yes">&#x003c3;</italic>&#x02032; is the modified standard deviation (strain/s); <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the short-time strain rate recorded by a given channel; <italic toggle="yes">&#x003bc;</italic><sub><italic toggle="yes">l</italic></sub> is the long-time mean; and <italic toggle="yes">N</italic><sub><italic toggle="yes">s</italic></sub> is the number of samples in the short time window. The short time windows began at the first arrival time and lasted 1.0 s. We selected 1.0 s, because longer windows tended to dilute the short signals recorded by the lead cables (which typically had durations of about 0.25 s) and would occasionally capture nonevent-related strains from shields advancing. Shorter windows truncated significant portions of some microphone recordings. We selected a long time window of 60 s, because it greatly exceeded any observed signal duration. We did not perform any pre-filtering before calculating <italic toggle="yes">&#x003c3;</italic>&#x02032; and <xref rid="T1" ref-type="table">Table 1</xref> provides the interrogator configuration.</p><p id="P22">The long time window is used for calculating the mean, because some infrasound signals, particularly those associated with significant gas release such as volcanoes, can have large nonsymmetric impulses that would skew a short-term mean (<xref rid="R16" ref-type="bibr">McNutt <italic toggle="yes">et al</italic>., 2015</xref>). Although it is unclear how well the DAS microphones might record such low-frequency signals, a longer time window should not adversely affect the measure. <italic toggle="yes">&#x003c3;</italic>&#x02032; is also desirable in that it accounts for both the initial pulse amplitudes (related to the seismic source for lead cables or air blast for microphones) and coda signals above the noise level (assumed to be interactions of ejected coal with the machinery and workings).</p></sec></sec><sec id="S7"><title>RESULTS</title><p id="P23"><xref rid="F5" ref-type="fig">Figure 5a</xref> shows waveforms of E10 with lead cable channels occurring in closely spaced pairs and microphone channels spaced out. The lead cables generally record much higher frequencies near the first arrival and lower frequencies in later parts of the waveform. We observed some cycle-skipping in the lead cable channels (<xref rid="F5" ref-type="fig">Fig. 5c</xref>), which occurs when the strain exceeds the setting-specific dynamic range of the interrogator. The cycle-skipping occurs later in the waveform and will certainly bias <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>lead</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, which we discuss later. We did not observe any cycle-skipping in the microphone channels. The microphone recordings have emergent signals with well-pronounced harmonics around 500 Hz (<xref rid="F5" ref-type="fig">Fig. 5d</xref>). The microphone signals drop off quickly with distance. For event E10, even 50 m from the first arriving lead cable channel, the microphone signal has nearly reached background levels (<xref rid="F5" ref-type="fig">Fig. 5e</xref>).</p><p id="P24"><xref rid="F6" ref-type="fig">Figure 6</xref> shows the moveout and <italic toggle="yes">&#x003c3;</italic>&#x02032; for each event. All the 33 events are visible on both the microphones and the lead cable channels, despite high background noise levels during active mining. The lead cables show a clear moveout with the first arrival indicating the lateral location of the seismic event (see also <xref rid="F5" ref-type="fig">Fig. 5</xref>). The first arrival picks made on the lead cable channels are generally smooth, but there are a few exceptions that have significant outliers or discontinuities (e.g., E23, E25, E30). The shapes of <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (red lines) are highly variable. Several events display narrow spikes near the first arrival (E02, E20, E31, E33), whereas others are almost Gaussian shaped (E03, E10, E12, E19, E28). The narrow spikes could indicate a smaller area at the face that experiences enough damage to generate significant acoustic energy in the workings. The sharp drop-off over distance is due to the rapid attenuation of the relatively high frequencies recorded by the DAS microphones and lack of new noise generated near the microphones that recorded a lower <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> Thus, high amplitudes of <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> could correspond to face damage near the microphone, and sharp drop-offs could delineate the end of the damage zone. The observed <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>lead</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> values generally follow the same trends as <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, but they tend to be rougher and fall off less quickly as a function of face distance (e.g., E03, E04 E11, E20, E27). The apparent difference in propagation characteristics is due to the two segment types effectively recording two different propagation modes; the lead cables record seismic energy as it propagates through the longwall, whereas the microphones record the acoustic energy propagating in the workings.</p><p id="P25"><xref rid="F7" ref-type="fig">Figure 7</xref> shows the smoothed amplitude spectra recorded by both microphone and lead cable segments for the short time window used to calculate <italic toggle="yes">&#x003c3;</italic>&#x02032;. The colors show channels that recorded the maximum, the median, and the minimum values of <italic toggle="yes">&#x003c3;</italic>&#x02032; for each of the 33 events. The shaded regions delineate the first and the last decile, whereas the solid lines are the median of the frequency bins. Each microphone channel has a peak around 500 Hz (<xref rid="F7" ref-type="fig">Fig. 7a</xref>), which corresponds to a spike in the frequency response (<xref rid="F2" ref-type="fig">Fig. 2b</xref>). The microphone channels with the largest <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> recorded significant energy in the lower frequency bands (compared to the other microphone channels), which indicates that the microphones can record low frequencies and that, perhaps, these low frequencies correspond to gas liberation associated with the damage at the face. The lead cable channel spectra show little variability (apart from being scaled up), but the slope of the maximum spectra is slightly steeper (<xref rid="F7" ref-type="fig">Fig. 7b</xref>). The high frequencies in lead cable spectra may be artificially inflated by cycle-skipping (<xref rid="F5" ref-type="fig">Fig. 5c</xref>).</p><p id="P26">Although we currently lack a full transfer function, it is informative to compare the strain-rate measurements recorded by the microphones in the lab and mine settings. <xref rid="F8" ref-type="fig">Figure 8</xref> shows the relationship between <italic toggle="yes">&#x003c3;</italic>&#x02032; (<italic toggle="yes">x</italic> axis) and the maximum absolute value of the short time window (<italic toggle="yes">y</italic> axis) for both types of recordings. For reference, the maximum values of <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x003bc;</mml:mi><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> are 790 and 2620, and the maximum value of <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mi>&#x003c3;</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x003bc;</mml:mi><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> are 180 and 1830 for coal burst recordings and lab recordings, respectively. Although the lab recordings have higher values in both metrics by up to an order of magnitude, this does not necessarily mean that the absolute sound pressure was higher in the lab but could simply be an artifact of the strong frequency response of the microphones. The lab recordings have a linear relationship between <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mi>&#x003c3;</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x003bc;</mml:mi><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x003bc;</mml:mi><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula>, because the signal is a simple sine wave.</p></sec><sec id="S8"><title>DISCUSSION</title><sec id="S9"><title>Insights from monitoring</title><p id="P27">We now present a few observations about the nature of the events recorded by the seismoacoustic array. First, unsurprisingly, most of the events occur during active longwall mining, with only a single event occurring during an off-shift (<xref rid="F9" ref-type="fig">Fig. 9a</xref>; E01). Because the moveout of E01 progresses roughly linearly from the tailgate to the headgate (<xref rid="F6" ref-type="fig">Fig. 6</xref>), and the lead and microphone <italic toggle="yes">&#x003c3;</italic>&#x02032; values are low relative to the other events, E01 likely occurred in the adjacent mined-out panel. However, despite E01 inducing very little strain in the lead or microphone segments, it was still readily detectable in the absence of the mining noise.</p><p id="P28">Second, the events inducing the largest effect on the microphones, as measured by <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula>, were not the largest magnitude events. For example, the four events with the highest <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> values (<xref rid="F9" ref-type="fig">Fig. 9</xref>, dashed outline; E06, E16, E20, and E24) had reported magnitude values of <italic toggle="yes">M</italic><sub>L</sub> 1.2, 1.4, 1.5, and 1.6, respectively. The four largest magnitude events (<xref rid="F9" ref-type="fig">Fig. 9</xref>, dotted outline; E05, E09, E15, and E25) had average, or slightly above average <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> values but did have some of the largest <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>lead</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> values, indicating that the seismic effect on the array was greater than the acoustic effect relative to other events. If the assertion expressed by several miners that louder events tend to cause more damage is correct, this provides evidence that event magnitude alone is insufficient for estimating surface damage. However, an alternative explanation is that the larger events&#x02019; spectra were richer in lower frequencies and, because the microphone response drops off sharply (<xref rid="F2" ref-type="fig">Fig. 2</xref>), the lower values of <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> for larger events might be an artifact of the microphone response. Events E01, E22, and E23 are unique, because their <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>lead</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> values are greater than their <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> values. Examining their moveouts and relative face positions (<xref rid="F6" ref-type="fig">Figs. 6</xref> and <xref rid="F9" ref-type="fig">9c</xref>) suggests that this could be due to the events occurring off the panel. In addition, for both E22 and E23, noise levels appear elevated for channels on the tailgate side of the panel, which could be caused by a temporary pinching of the lead cable (see <xref rid="S14" ref-type="sec">Data and Resources</xref>).</p><p id="P29">Given that local magnitude is based on logarithmic measurements of far-field waveform amplitudes, the fact that <italic toggle="yes">&#x003c3;</italic>&#x02032; increases relatively little for both cable types may seem odd. For example, most events have <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> values between 150 and 200 <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mi>&#x003bc;</mml:mi><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>lead</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> between 40 and 100 <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi>&#x003bc;</mml:mi><mml:mover accent="true"><mml:mi>&#x003f5;</mml:mi><mml:mo>&#x002d9;</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> despite a spread of nearly 1 local magnitude. This could be due to several factors. First, the relation between the source spectra and the signals recorded by the DAS array is certainly complex, considering the wavefield interactions between the mine openings and equipment and the strong frequency response of the sensors. Second, cycle-skipping introduces by bias by reducing <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>lead</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula>. Finally, because the recordings are taken so close to the sources, there are certainly near-field effects that could complicate the relationship.</p><p id="P30">Finally, the location of the microphone that recorded <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> has a possible geomechanical interpretation. First, the maximum confinement of the coal, or more precisely the maximum of the first invariant of the stress tensor, occurs in the center of the panel. This means greater energy release per failed volume, and that the least resistance for the expanding volume is in the direction of the mining face when the coal rapidly dilates. Therefore, with all else being equal (including source dimension), events occurring in the center of the panel will tend to release more energy than events in other locations. Second, there are significant abutment loads from the adjacent mined-out panel that are maximized on the tailgate side of the current panel. However, because there is less confinement on the tailgate side, peak strengths are lower, and more of the strain-burst volume can expand to the tailgate, causing less damage to the longwall face even for higher magnitude events. Therefore, the trade-off between higher stresses on the tailgate and higher confinement in the center of the panel could explain why the events with the highest <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> are located between the center of the panel and the tailgate.</p></sec><sec id="S10"><title>DAS potential for coal mine seismic monitoring</title><p id="P31">The DAS-based monitoring approach we present provides several advantages over conventional in-mine monitoring. First, it alleviates the significant burden of frequently moving sensors. For our configuration, only the interrogator would need to be moved each time the power center is advanced, and the DAS cable would be relocated with the power cables. However, because this is only a small step in an otherwise standard activity, the additional burden on mine personnel would be minimal. Second, unlike other monitoring systems with conventional electronics, DAS exclusively uses light transmission, and there are no permissibility restraints, given the interrogator is located in fresh air, because it can employ MSHA-approved fiber-optic cable. Third, this system provides a measurement of energy release near the source and the workers. Although further study is needed, these measurements may be better able to quantify risk and damage than traditional seismic recordings, which is a topic we discuss in the next section. In short, our method may be more pragmatic for mines concerned about coal bursts near the longwall face than current monitoring approaches.</p><p id="P32">Of course, the system does have some disadvantages. First, due to the complex interactions between the mining equipment, ground, and cable, the fact that many of the recordings are probably not taken in the far field, and the lack of DAS broadside sensitivity (<xref rid="R6" ref-type="bibr">Hornman, 2017</xref>), it would be extremely difficult to quantitatively relate recorded measurements back to particle motion in the rock&#x02014;a necessity to estimate many of the conventional seismic source parameters. Second, because the system is colocated with mining activity, the background noise levels are extremely high, undoubtedly degrading the system&#x02019;s ability to detect small events. However, given the recent advances in machine learning denoising techniques (e.g., <xref rid="R24" ref-type="bibr">Yu <italic toggle="yes">et al</italic>., 2019</xref>), and because the noise sources are relatively periodic, adaptive filtering may prove effective for mitigating this shortcoming. Third, the longwall is a very harsh environment, so future arrays will need to be made very robust and carefully deployed to survive.</p><p id="P33">A hybrid monitoring strategy could combine both conventional monitoring and the longwall-based DAS approach presented in this article. Such a network could include a sparse geophone array located on the mine surface or throughout the mine, which would not require frequent relocation and could be placed in fresh air. The geophone network could then be used to calculate source parameters and constrain event locations outside of the current panel. The longwall DAS system would provide kinematic information for travel-time-based locations and an acoustic measure of damage for events occurring on the mining face. Of course, the two systems would need to be time synchronized and the position of the longwall recorded with fine temporal resolution as it advances.</p><p id="P34">Moreover, several studies have recognized that rapid gas desorption can contribute significant energy to coal bursts (e.g., <xref rid="R26" ref-type="bibr">Zhou <italic toggle="yes">et al</italic>., 2018</xref>; <xref rid="R2" ref-type="bibr">Cao <italic toggle="yes">et al</italic>., 2019</xref>). Pressure readings taken close to the damage area may help better quantify the role gas release plays for specific coal bursts and lead to a better understanding of coal burst mechanisms, and thus inform mitigation measures. Indeed, the low frequencies (&#x0003c;30 Hz) detected by some of the DAS microphones may be due to gas liberation associated with the coal burst process (<xref rid="F7" ref-type="fig">Fig. 7a</xref>).</p></sec><sec id="S11"><title>DAS-seismoacoustic damage monitoring</title><p id="P35">Current seismic monitoring methods produce a discrete catalog of seismic event source parameters and sparse recordings of ground motion at each sensor. However, complexities such as location errors, site characteristics, performance of installed ground support, local stress perturbations, triggering of secondary sources, and many other factors, all complicate the relationship between source parameters and observed damage. For example, <xref rid="R7" ref-type="bibr">Hudyma <italic toggle="yes">et al</italic>. (2016)</xref> found that for a Canadian hardrock mine, the magnitude&#x02013;damage relationship was &#x0201c;crude&#x0201d; with widely varying volumes of ejected material for a given magnitude. <xref rid="R5" ref-type="bibr">Heal (2010)</xref> performed a comprehensive study of about 250 rockbursts and found that, in addition to location and magnitude, local stress information, ground support capacity, peak particle velocity, local geological information, and several other factors were required to explain roughly 80% of the observed variation in a qualitative damage rating. The difficulty in relating the outputs of seismic monitoring (source parameters) to mine damage motivated <xref rid="R19" ref-type="bibr">Potvin (2017)</xref> to highlight the need for advancements in estimating risk and dynamic support demands, partially because &#x0201c;measurements in the near field of significant seismic events are very difficult to achieve.&#x0201d;</p><p id="P36">DAS-based monitoring approaches, due to their highly distributed nature and the cost-effectiveness of fiber-optic cable, may be able to provide the near-field measurements needed to better estimate support demands and quantify damage severity. In this regard, we have demonstrated DAS-based near-field measurements in an underground coal mine, and that both seismic and acoustic measurements may be useful in this endeavor. Our approach, however, is not limited to longwall coal mining. A single DAS interrogator could support hundreds of seismic or acoustic monitoring channels distributed throughout any underground environment. If many sensors are deployed, particularly in high-risk areas, the system could capture a significant number of near-damage recordings.</p></sec><sec id="S12"><title>Future work</title><p id="P37">The DAS microphones have a sharp drop-off for lower frequencies (<xref rid="F2" ref-type="fig">Fig. 2</xref>), but including a closed volume in the design could drastically improve the low-frequency response. For example, one might consider inserting and inflating a balloon in the center of the cylinder, which would expand or contract in response to quasi-static (low-frequency) changes in air pressure. The expansion or contraction would then be translated to radial strain on the cylinder and recorded by the DAS system. <xref rid="R23" ref-type="bibr">Wooler and Crickmore (2007)</xref> employed this principle in their DAS-based microphones that recorded low frequencies related to gun shots. In addition, more rigorous acoustic testing (including lower frequencies) and microphone response quantification are needed to develop a broadband transfer function to convert between measured strain and air pressure for the DAS-based microphone.</p><p id="P38">A more robust cable and microphone design will be needed for the system to survive in the rugged longwall environment. A more thorough fastening of the lead cables to the longwall could have perhaps prevented the failure our array experienced; however, higher rated fiber-optic cable would also be prudent to resist the frequent abrasion of moving parts and potential rock impacts. Smaller, hardened microphones that could be deployed more densely would also improve the array&#x02019;s usability and longevity.</p><p id="P39">Although no interpretation or data processing advances are needed to use the first arrivals to better constrain event locations, more research to relate damage at rock surfaces to the signals recorded by the seismoacoustic array would greatly amplify the usefulness of the array data to improve seismic risk management. Furthering the study of mine damage acoustics will require significant theoretical, numerical, and observational advances.</p><p id="P40">Cycle-skipping issues need to be addressed either through more advanced phase-unwrapping algorithms, using different waveforms measurements that are insensitive to cycle-skipping (e.g., signal duration), or perhaps extracting the standard deviation from a temporal derivative of strain rate after despiking.</p></sec></sec><sec id="S13"><title>CONCLUSIONS</title><p id="P41">Here, we present a DAS-based monitoring strategy that effectively turns an active longwall into a seismoacoustic array, thereby alleviating many of the shortcomings related to traditional in-mine burst monitoring. We demonstrate that the array can record both seismic and acoustic signals of mining-induced seismicity. We find that a modified standard deviation of the recordings, although the lead cable measures are biased by cycle-skipping, may be beneficial for understanding coal burst-related damage. This type of array is potentially useful for understanding damage related to dynamic failures in other mining contexts as well. However, significant work remains to improve microphone design, data interpretation and processing, and array robustness.</p></sec><sec id="S14"><title>DATA AND RESOURCES</title><p id="P42">Data used in this study were collected in the manner described in the previous sections. They are considered proprietary as part of the collaborative agreement between the National Institute for Occupational Safety and Health (NIOSH) and the unnamed coal mine. However, the supplemental material, including several recordings from the distributed acoustic sensing (DAS) microphones and waveform plots of all the 33 events, may be found at <ext-link xlink:href="https://derchambers.com/publications/bssa-2023" ext-link-type="uri">https://derchambers.com/publications/bssa-2023</ext-link> (last accessed March 2023).</p></sec></body><back><ack id="S15"><title>ACKNOWLEDGMENTS</title><p id="P50">The authors would like to thank:
<list list-type="bullet" id="L2"><list-item><p id="P43">the engineering staff at the collaborating coal mine for facilitating the array deployment;</p></list-item><list-item><p id="P44">Michael Roelens and the other Terra15 staff who provided excellent support in helping us troubleshoot issues and improve our experiment;</p></list-item><list-item><p id="P45">Duncan Marriott of Chaparral Geophysics for insightful conversations about acoustic monitoring and microphone design;</p></list-item><list-item><p id="P46">Gabe Walton, Shawn Boltz, Peter Swanson, and two anonymous reviewers for providing insights and comments to improve this work;</p></list-item><list-item><p id="P47">Allen Chambers for lending his shop and expertise to construct the seismoacoustic array;</p></list-item><list-item><p id="P48">and Jim Garner and Will Ray of Oak Ridge National Lab for providing some of the fiber optic cable.</p></list-item></list></p><p id="P49">The findings and conclusions in this report are those of the author(s) and do not necessarily represent the official position of the National Institute for Occupational Safety and Health (NIOSH), Centers for Disease Control and Prevention (CDC). Mention of any company or product does not constitute endorsement by NIOSH, CDC.</p></ack><fn-group><fn fn-type="COI-statement" id="FN1"><p id="P51">DECLARATION OF COMPETING INTERESTS</p><p id="P52">The authors declare no competing interests.</p></fn></fn-group><ref-list><title>REFERENCES</title><ref id="R1"><mixed-citation publication-type="journal"><name><surname>Bucaro</surname><given-names>JA</given-names></name>, <name><surname>Lagakos</surname><given-names>N</given-names></name>, <name><surname>Houston</surname><given-names>BH</given-names></name>, <name><surname>Jarzynski</surname><given-names>J</given-names></name>, and <name><surname>Zalalutdinov</surname><given-names>M</given-names></name> (<year>2005</year>). <article-title>Miniature, high performance, low-cost fiber optic microphone</article-title>, <source>J. Acoust. Soc. Am</source>
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<volume>21</volume>, <issue>24</issue>,<fpage>185</fpage>&#x02013;<lpage>24</lpage>,<fpage>194</fpage>.</mixed-citation></ref></ref-list></back><floats-group><fig position="float" id="F1"><label>Figure 1.</label><caption><p id="P53">(a) Conceptual drawing showing an oblique view of an operating longwall, (b) a zoomed-in window of the shear, and (c) a cross section with overburden interactions. The dotted lines indicate that the arrows extend beyond the shown extents. The figure is not to scale and is modified from <xref rid="R8" ref-type="bibr">Karacan (2008)</xref>. The color version of this figure is available only in the electronic edition.</p></caption><graphic xlink:href="nihms-1993631-f0001" position="float"/></fig><fig position="float" id="F2"><label>Figure 2.</label><caption><p id="P54">Distributed acoustic sensing (DAS)-microphone response showing (a) signal-to-noise ratios for the DAS microphone and UMIK1 measurement microphone for the tested harmonics, and (b) power ratio between DAS and UMIK1 microphones. The color version of this figure is available only in the electronic edition.</p></caption><graphic xlink:href="nihms-1993631-f0002" position="float"/></fig><fig position="float" id="F3"><label>Figure 3.</label><caption><p id="P55">Microphone array. The lead cables (lose coils) connect the DAS microphones and are used to detect vibrations in the longwall. The microphones are composed of tight-buffered single-mode fiber wrapped around plastic (polyethylene terephthalate glycol) cylinders. The splice between lead cables and microphones is protected by a grooved block in the center of the cylinder. A chain of zip ties forms the cylinder handle and mounting point. The white pipe (top) is used for transportation. The color version of this figure is available only in the electronic edition.</p></caption><graphic xlink:href="nihms-1993631-f0003" position="float"/></fig><fig position="float" id="F4"><label>Figure 4.</label><caption><p id="P56">Map view of deployment and mining geometry. The gateroad pillars are omitted for simplicity. The color version of this figure is available only in the electronic edition.</p></caption><graphic xlink:href="nihms-1993631-f0004" position="float"/></fig><fig position="float" id="F5"><label>Figure 5.</label><caption><p id="P57">(a) Example of aggregated channels for event E10 showing a wiggle plot of microphone (single trace) and lead cable (double trace) channels normalized to the maximum value for each cable type and offset by face distance. (b,c) Also shown are zoomed-in waveforms for lead cable and (d,e) microphone channels. (f) The parameterization of the waveforms as shown in <xref rid="F6" ref-type="fig">Figure 6</xref> (note: <italic toggle="yes">x</italic> axis is face distance). See text in <xref rid="S7" ref-type="sec">Results</xref> and <xref rid="S8" ref-type="sec">Discussion</xref> sections for additional discussion. The color version of this figure is available only in the electronic edition.</p></caption><graphic xlink:href="nihms-1993631-f0005" position="float"/></fig><fig position="float" id="F6"><label>Figure 6.</label><caption><p id="P58">Moveout and modified standard deviation (<italic toggle="yes">&#x003c3;</italic>&#x02032;) for the 33 events recorded by the DAS array and surface network. The text box above each plot shows first the event number, followed by the magnitude, moveout duration, and the minimum and the maximum <italic toggle="yes">&#x003c3;</italic>&#x02032; of strain rate for microphones channels and lead cable channels (in units of microstrain), respectively. The plots show the normalized moveout (solid line) with the first arrival at the top and the normalized modified standard deviation for each microphone channel (dashed line) and lead cable channel (dotted line) plotted as a function of face distance. The color version of this figure is available only in the electronic edition.</p></caption><graphic xlink:href="nihms-1993631-f0006" position="float"/></fig><fig position="float" id="F7"><label>Figure 7.</label><caption><p id="P59">Smoothed spectra of event data recorded by (a) microphone channels and (b) lead cable channels for events with the largest (top), the median (middle), and the minimum (bottom) <italic toggle="yes">&#x003c3;</italic>&#x02032;. The shaded in regions delineate the bottom and top decile, whereas the solid lines show the median values. The color version of this figure is available only in the electronic edition.</p></caption><graphic xlink:href="nihms-1993631-f0007" position="float"/></fig><fig position="float" id="F8"><label>Figure 8.</label><caption><p id="P60">Comparison of DAS-microphone statistics for harmonics recorded in the lab (dots) and in-mine event recordings (<italic toggle="yes">x</italic>&#x02019;s) for max strain (<italic toggle="yes">y</italic> axis) and mean strain (<italic toggle="yes">x</italic> axis). The color version of this figure is available only in the electronic edition.</p></caption><graphic xlink:href="nihms-1993631-f0008" position="float"/></fig><fig position="float" id="F9"><label>Figure 9.</label><caption><p id="P61">The maximum standard deviation of strain rate for microphone segments <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> and lead cable segments <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>lead</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula>. (a) <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> (<italic toggle="yes">x</italic>&#x02019;s) and <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>lead</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> (dots) as a function of experiment duration for each event. The horizontal lines near the top of the panel indicate active longwall mining times, and the horizontal line toward the bottom indicates data availability. (b) <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>lead</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> (<italic toggle="yes">x</italic> axis) versus <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> (<italic toggle="yes">y</italic> axis) colored by magnitude. (c) <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> plotted against face distance shaded by event magnitude. All strain-rate values are reported in microstrain. The dashed blue outline in panels (b) and (c) encompasses the four events (two dots are colocated in panel (c) with the highest <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mrow><mml:mtext>mic</mml:mtext></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula>, and the dashed pink outline encompasses the four highest magnitude events. The color version of this figure is available only in the electronic edition.</p></caption><graphic xlink:href="nihms-1993631-f0009" position="float"/></fig><table-wrap position="float" id="T1"><label>TABLE 1</label><caption><p id="P62">Distributed Acoustic Sensing Configuration</p></caption><table frame="hsides" rules="none"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="left" valign="middle" rowspan="1" colspan="1">Parameter</th><th align="left" valign="middle" rowspan="1" colspan="1">Value</th></tr></thead><tbody><tr><td align="left" valign="middle" rowspan="1" colspan="1">Cable length (m)</td><td align="left" valign="middle" rowspan="1" colspan="1">2505</td></tr><tr><td align="left" valign="middle" rowspan="1" colspan="1">Pulse length (m)</td><td align="left" valign="middle" rowspan="1" colspan="1">10.62</td></tr><tr><td align="left" valign="middle" rowspan="1" colspan="1">Pulse rate (Hz)</td><td align="left" valign="middle" rowspan="1" colspan="1">16070.97</td></tr><tr><td align="left" valign="middle" rowspan="1" colspan="1">Sample length (m)</td><td align="left" valign="middle" rowspan="1" colspan="1">5.72</td></tr><tr><td align="left" valign="middle" rowspan="1" colspan="1">Sample rate (Hz)</td><td align="left" valign="middle" rowspan="1" colspan="1">8035.5</td></tr><tr><td align="left" valign="middle" rowspan="1" colspan="1">Outgoing amplifier (mV)</td><td align="left" valign="middle" rowspan="1" colspan="1">165.0</td></tr><tr><td align="left" valign="middle" rowspan="1" colspan="1">Incoming amplifier (mV)</td><td align="left" valign="middle" rowspan="1" colspan="1">105.0</td></tr></tbody></table></table-wrap><boxed-text id="BX1" position="float"><caption><title>KEY POINTS</title></caption><list list-type="bullet" id="L4"><list-item><p id="P63">Underground longwall mines struggle to implement seismic monitoring that can help address dynamic failures.</p></list-item><list-item><p id="P64">We developed a distributed acoustic sensing (DAS)-based seismoacoustic monitoring method that is well suited for longwall mines.</p></list-item><list-item><p id="P65">The DAS-seismoacoustic array may be useful in other underground settings and for studying damage mechanics.</p></list-item></list></boxed-text></floats-group></article>