A Method for Estimating the Surface Roughness of Rock Discontinuities

<table class="fixed-width table-group" id="tab2"><tr><td><table class="table"><colgroup><col style="width:5.67em"/><col style="width:3.43em"/><col style="width:4.97em"/><col style="width:4.73em"/><col style="width:3.08em"/></colgroup><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left">Rock types</td><td class="align_center"><svg height="12.3916pt" id="M196" style="vertical-align:-3.42948pt" version="1.1" viewbox="-0.0498162 -8.96212 12.0102 12.3916" width="12.0102pt" 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="M542 242C542 369 469 429 379 468C370 472 372 496 376 513L416 681L400 691L344 648L219 51C167 69 113 128 113 217C113 324 166 387 266 428L252 459C124 418 23 336 23 202C23 95 90 13 205 -8L182 -132C165 -222 191 -254 209 -261L215 -258L270 -7C415 -4 542 98 542 242ZM469 232C469 126 403 33 279 39L355 409C399 394 469 331 469 232Z" id="g113-243"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.02,3.132)"><path d="M460 334C460 396 434 451 378 451C330 451 241 408 148 300H146L237 679C241 697 241 710 232 710C213 710 153 684 67 675L66 646H95C141 646 145 642 134 595L39 170C23 97 31 54 46 33C64 8 100 -12 137 -12C178 -12 234 3 298 43C391 101 460 222 460 334ZM371 320C371 204 316 89 248 51C230 41 208 37 192 37C143 37 102 72 119 166C124 194 129 215 135 235C202 323 298 392 335 392C353 392 371 372 371 320Z" id="g50-99"></path></g></svg> (°)</td><td class="align_center"><i><i>σ</i></i><sub>c</sub> (MPa)</td><td class="align_center"><i>C</i> (MPa)</td><td class="align_center"><svg height="12.3916pt" id="M197" style="vertical-align:-3.42948pt" version="1.1" viewbox="-0.0498162 -8.96212 7.47216 12.3916" width="7.47216pt" 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="M542 242C542 369 469 429 379 468C370 472 372 496 376 513L416 681L400 691L344 648L219 51C167 69 113 128 113 217C113 324 166 387 266 428L252 459C124 418 23 336 23 202C23 95 90 13 205 -8L182 -132C165 -222 191 -254 209 -261L215 -258L270 -7C415 -4 542 98 542 242ZM469 232C469 126 403 33 279 39L355 409C399 394 469 331 469 232Z" id="g113-243"></path></g></svg> (°)</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">Limestone</td><td class="align_center">30.5</td><td class="align_center">90.6</td><td class="align_center">11.2</td><td class="align_center">44.6</td></tr><tr><td class="align_left">Shale</td><td class="align_center">22.8</td><td class="align_center">36.6</td><td class="align_center">5.3</td><td class="align_center">33.3</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Mechanical properties of the eleven discontinuity samples.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: A Method for Estimating the Surface Roughness of Rock Discontinuities 