Rock Fracturing under Pulsed Discharge Homenergic Water Shock Waves with Variable Characteristics and Combination Forms

<table class="fixed-width table-group sidewaystable" id="tab2"><tr><td><table class="table"><colgroup><col style="width:6.29em"/><col style="width:6.29em"/><col style="width:6.29em"/><col style="width:5.96em"/><col style="width:5.96em"/><col style="width:6.29em"/><col style="width:6.29em"/><col style="width:6.29em"/><col style="width:6.29em"/><col style="width:6.29em"/><col style="width:6.29em"/><col style="width:6.29em"/><col style="width:6.29em"/><col style="width:6.29em"/></colgroup><tr><td class="thead-hr" colspan="14"><hr/></td></tr><tr class="thead"><td class="align_left">Particle parameter</td><td class="align_center">Radius-Lo</td><td class="align_center">Radius-Hi</td><td class="align_center">Porosity</td><td class="align_center">Density</td><td class="align_center">Damp</td><td class="align_center">Contact model</td><td class="align_center">Bond gap</td><td class="align_center">Effective modulus</td><td class="align_center">Normal-to-shear stiffness ratio</td><td class="align_center">Tensile strength</td><td class="align_center">Cohesion</td><td class="align_center">Friction angle</td><td class="align_center">Friction coefficient</td></tr><tr><td class="thead-hr" colspan="14"><hr/></td></tr><tr><td class="align_left">Value</td><td class="align_center">0.001</td><td class="align_center">0.0015</td><td class="align_center">0.01</td><td class="align_center">2500</td><td class="align_center">0.7</td><td class="align_center">Flat joint</td><td class="align_center"><span style="width: 40.7377ptpx;"><svg height="8.69875pt" id="M28" style="vertical-align:-0.3499298pt" version="1.1" viewbox="-0.0498162 -8.34882 40.7377 8.69875" width="40.7377pt" 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="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 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transform="matrix(.013,0,0,-0.013,23.732,0)"><path d="M535 230V280H52V230H535Z" id="g117-33"></path></g><g transform="matrix(.013,0,0,-0.013,34.268,0)"><path d="M456 178V225H360V632H320C217 496 115 347 20 206V178H280V106C280 40 276 34 189 27V0H445V27C364 34 360 39 360 106V178H456ZM280 225H82C149 335 214 431 278 520H280V225Z" id="g113-53"></path></g></svg></span></td><td class="align_center"><span style="width: 27.2671ptpx;"><svg height="8.55521pt" id="M29" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 27.2671 8.55521" width="27.2671pt" 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="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z" id="g113-47"></path></g><g transform="matrix(.013,0,0,-0.013,9.204,0)"><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" id="g113-49"></path></g><g transform="matrix(.013,0,0,-0.013,15.444,0)"><path d="M391 364C391 409 353 448 295 448C249 448 198 426 152 393C65 331 23 225 23 139C23 14 96 -12 146 -12C198 -12 280 9 367 101L351 124C300 78 242 48 194 48C129 48 109 107 109 162V191C208 213 391 266 391 364ZM313 350C313 305 268 261 113 223C132 334 187 381 217 398C227 404 244 405 261 405C290 405 313 385 313 350Z" id="g113-102"></path></g><g transform="matrix(.013,0,0,-0.013,20.826,0)"><path d="M244 635C114 635 38 519 38 422C38 317 111 240 217 240C236 240 255 244 277 256L345 292C311 140 203 39 59 15L64 -15C89 -15 150 -5 204 17C339 72 440 202 440 386C440 521 368 635 244 635ZM228 602C326 602 352 479 352 390C352 370 351 347 348 324C327 308 293 296 258 296C174 296 124 369 124 458C124 517 152 602 228 602Z" id="g113-58"></path></g></svg></span></td><td class="align_center">1.0</td><td class="align_center"><span style="width: 27.2671ptpx;"><svg height="8.55521pt" id="M30" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 27.2671 8.55521" width="27.2671pt" 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="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z" id="g113-47"></path></g><g transform="matrix(.013,0,0,-0.013,9.204,0)"><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 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style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 27.2671 8.55521" width="27.2671pt" 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="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" id="g113-54"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z" id="g113-47"></path></g><g transform="matrix(.013,0,0,-0.013,9.204,0)"><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" id="g113-49"></path></g><g transform="matrix(.013,0,0,-0.013,15.444,0)"><path d="M391 364C391 409 353 448 295 448C249 448 198 426 152 393C65 331 23 225 23 139C23 14 96 -12 146 -12C198 -12 280 9 367 101L351 124C300 78 242 48 194 48C129 48 109 107 109 162V191C208 213 391 266 391 364ZM313 350C313 305 268 261 113 223C132 334 187 381 217 398C227 404 244 405 261 405C290 405 313 385 313 350Z" id="g113-102"></path></g><g transform="matrix(.013,0,0,-0.013,20.826,0)"><path d="M137 343C167 482 260 545 321 574C357 591 397 603 429 609L423 641C382 634 335 622 295 608C189 570 37 457 37 238C37 84 125 -12 242 -12C362 -12 447 89 447 209C447 311 374 393 267 393C247 393 226 386 204 376L137 343ZM227 337C318 337 361 256 361 173C361 105 336 22 258 22C176 22 126 120 126 240C126 266 127 291 132 310C155 323 189 337 227 337Z" id="g113-55"></path></g></svg></span></td><td class="align_center">0.0</td><td class="align_center">0.577</td></tr><tr class="table-tr"><td colspan="14"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Particle parameters of PFC fracturing model (SI units).</div>

Shock and Vibration

tab2

Table 2

Table 2: Rock Fracturing under Pulsed Discharge Homenergic Water Shock Waves with Variable Characteristics and Combination Forms 