Particle Flow Simulation of Failure Characteristics of Deep Rock Influenced by Sample Height-to-Width Ratios and Initial Stress Level under True-Triaxial Unloading

<table class="table-group sidewaystable" id="tab7"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left"></td><td class="align_center" colspan="2">Velocity field</td><td class="align_center" colspan="2">Failure mode</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left" rowspan="2">S1, <svg height="11.439pt" id="M58" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 58.5666 11.439" width="58.5666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M729 650H468V622C546 615 554 610 554 527V365H213V527C213 610 221 616 297 622V650H38V622C120 616 128 611 128 527V123C128 39 120 34 40 28V0H303V28C221 34 213 40 213 123V322H554V123C554 39 546 34 460 28V0H728V28C647 34 639 39 639 123V527C639 610 647 615 729 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,9.995,0)"><path d="M368 703H309L44 -163H104L368 703Z"></path></g><g transform="matrix(.013,0,0,-0.013,15.356,0)"><path d="M956 650H736V622C814 613 818 602 804 542C789 471 733 275 691 141H689C628 314 570 476 514 641H485C434 478 377 312 323 142H321C277 284 238 419 199 554C184 605 186 613 259 622V650H16V622C77 615 92 606 117 524C172 346 228 170 281 -11H312C363 151 419 312 475 488H477C528 343 597 150 652 -11H683C765 269 826 458 848 522C878 605 887 613 956 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,31.659,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,42.922,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,49.162,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,52.126,0)"><path d="M153 550H386L412 615L406 623H120L82 318C104 327 142 338 184 338C294 338 347 275 347 187C347 112 305 39 221 39C160 39 119 71 97 89C88 97 80 96 71 90C59 80 50 67 49 57C48 45 52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z"></path></g></svg></td><td class="align_center" rowspan="2"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0028.svgz" name="6631744.tab-inline.0028" type="image/svg+xml"></object></td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0029.svgz" name="6631744.tab-inline.0029" type="image/svg+xml"></object></td><td class="align_left">(A) Tension failure</td><td class="align_left">(B) Tension-shear failure</td></tr><tr><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0030.svgz" name="6631744.tab-inline.0030" type="image/svg+xml"></object></td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0031.svgz" name="6631744.tab-inline.0031" type="image/svg+xml"></object></td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0032.svgz" name="6631744.tab-inline.0032" type="image/svg+xml"></object></td></tr><tr><td class="align_left" rowspan="2">S3, <svg height="11.439pt" id="M59" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 58.5666 11.439" width="58.5666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M729 650H468V622C546 615 554 610 554 527V365H213V527C213 610 221 616 297 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602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,49.162,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,52.126,0)"><path d="M153 550H386L412 615L406 623H120L82 318C104 327 142 338 184 338C294 338 347 275 347 187C347 112 305 39 221 39C160 39 119 71 97 89C88 97 80 96 71 90C59 80 50 67 49 57C48 45 52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z"></path></g></svg></td><td class="align_center" rowspan="2"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0033.svgz" name="6631744.tab-inline.0033" type="image/svg+xml"></object></td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0034.svgz" name="6631744.tab-inline.0034" type="image/svg+xml"></object></td><td class="align_left">(A) Tension failure</td><td class="align_left">(B) Tension-shear failure</td></tr><tr><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0035.svgz" name="6631744.tab-inline.0035" type="image/svg+xml"></object></td><td class="align_left"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0036.svgz" name="6631744.tab-inline.0036" type="image/svg+xml"></object></td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0037.svgz" name="6631744.tab-inline.0037" type="image/svg+xml"></object></td></tr><tr><td class="align_left" rowspan="2">S3, <svg height="11.439pt" id="M60" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 49.3281 11.439" width="49.3281pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M729 650H468V622C546 615 554 610 554 527V365H213V527C213 610 221 616 297 622V650H38V622C120 616 128 611 128 527V123C128 39 120 34 40 28V0H303V28C221 34 213 40 213 123V322H554V123C554 39 546 34 460 28V0H728V28C647 34 639 39 639 123V527C639 610 647 615 729 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,9.995,0)"><path d="M368 703H309L44 -163H104L368 703Z"></path></g><g transform="matrix(.013,0,0,-0.013,15.356,0)"><path d="M956 650H736V622C814 613 818 602 804 542C789 471 733 275 691 141H689C628 314 570 476 514 641H485C434 478 377 312 323 142H321C277 284 238 419 199 554C184 605 186 613 259 622V650H16V622C77 615 92 606 117 524C172 346 228 170 281 -11H312C363 151 419 312 475 488H477C528 343 597 150 652 -11H683C765 269 826 458 848 522C878 605 887 613 956 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,31.659,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,42.922,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g></svg></td><td class="align_center" rowspan="2"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0038.svgz" name="6631744.tab-inline.0038" type="image/svg+xml"></object></td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0039.svgz" name="6631744.tab-inline.0039" type="image/svg+xml"></object></td><td class="align_left">(A) Tension failure</td><td class="align_left">(B) Tension-shear failure</td></tr><tr><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0040.svgz" name="6631744.tab-inline.0040" type="image/svg+xml"></object></td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0041.svgz" name="6631744.tab-inline.0041" type="image/svg+xml"></object></td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0042.svgz" name="6631744.tab-inline.0042" type="image/svg+xml"></object></td></tr><tr><td class="align_left" rowspan="2">S3, <svg height="11.439pt" id="M61" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 49.3281 11.439" width="49.3281pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M729 650H468V622C546 615 554 610 554 527V365H213V527C213 610 221 616 297 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576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path></g></svg></td><td class="align_center" rowspan="2"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0043.svgz" name="6631744.tab-inline.0043" type="image/svg+xml"></object></td><td class="align_center" rowspan="2"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0044.svgz" name="6631744.tab-inline.0044" type="image/svg+xml"></object></td><td class="align_left">(A) Tension failure</td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0045.svgz" name="6631744.tab-inline.0045" type="image/svg+xml"></object></td></tr><tr><td class="align_left">(B) Tension-shear failure</td><td class="align_center"><object data="https://static.hindawi.com/articles/geofluids/volume-2021/6631744/figures/6631744.tab-inline.0046.svgz" name="6631744.tab-inline.0046" type="image/svg+xml"></object></td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The velocity distribution in the specimen.</div>

Geofluids

tab7

Table 7

Table 7: Particle Flow Simulation of Failure Characteristics of Deep Rock Influenced by Sample Height-to-Width Ratios and Initial Stress Level under True-Triaxial Unloading 

Table 7 | Particle Flow Simulation of Failure Characteristics of Deep Rock Influenced by Sample Height-to-Width Ratios and Initial Stress Level under True-Triaxial Unloading 