Calculation Model of Rock Fracture Pressure with Multifields in the Process of Fracturing

<table class="fixed-width table-group" id="tab2"><tr><td><table class="table"><colgroup><col style="width:10.22em"/><col style="width:6.87em"/><col style="width:8.43em"/><col style="width:12.07em"/><col style="width:15.55em"/></colgroup><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">Membrane permeable</td><td class="align_center">Gas constant</td><td class="align_center">Absolute</td><td class="align_center">Partial molar volume of</td><td class="align_center">The liquid activity of water entering</td></tr><tr><td class="align_left">Efficiency <svg height="11.927pt" id="M143" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 12.6874 11.927" width="12.6874pt" 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="M405 650H141L135 622C222 616 230 610 215 535L133 116C118 41 113 33 29 28L23 0H289L295 28C209 33 205 40 219 116L298 535C312 609 317 616 399 622L405 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,4.719,3.132)"><path d="M781 91L765 118C733 86 702 70 693 70C686 70 685 77 692 106L738 297C772 439 736 451 712 451S675 445 647 431C605 410 526 356 452 257H450L459 294C491 426 459 451 429 451C403 451 386 445 361 431C312 404 239 343 170 253H168L188 333C208 411 205 451 175 451C148 451 85 417 24 346L39 318C57 338 100 374 112 374C120 374 122 372 115 339C91 226 62 112 28 -6L37 -12C59 -4 87 3 114 6C125 68 142 127 154 168C184 227 316 383 372 383C397 383 396 366 381 289C362 192 338 92 312 -6L317 -12C339 -5 367 3 396 6L434 170C468 234 598 383 650 383C668 383 676 369 664 319L609 90C593 23 600 -12 629 -12C654 -12 722 23 781 91Z"></path></g></svg></td><td class="align_center"><span style="width: 12.0767ptpx;"><svg height="11.6425pt" id="M144" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.4361 12.0767 11.6425" width="12.0767pt" 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="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.151,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g></svg></span></td><td class="align_center">Temperature <svg height="11.439pt" id="M145" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 23.6396 11.439" width="23.6396pt" 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="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.285,0)"><path d="M368 703H309L44 -163H104L368 703Z"></path></g><g transform="matrix(.013,0,0,-0.013,13.646,0)"><path d="M743 650H503L496 622L527 618C563 613 564 603 532 573C449 495 371 431 323 392C301 374 272 355 246 346L280 522C297 609 300 614 379 622L385 650H135L129 622C209 614 215 609 198 522L124 133C106 39 99 35 23 28L17 0H271L277 28C193 35 192 39 208 133L239 316C264 328 280 325 303 288C368 183 435 90 502 0H652L659 28C602 34 584 43 543 94C495 154 403 283 347 369L574 554C634 603 659 612 735 624L743 650Z"></path></g></svg></td><td class="align_center">pure water <svg height="12.1044pt" id="M146" style="vertical-align:-0.2062998pt" version="1.1" viewbox="-0.0498162 -11.8981 9.35121 12.1044" width="9.35121pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.65243" width="9.25158" x="0" y="-11.1958"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path></g></svg></td><td class="align_center">the formation <svg height="14.8825pt" id="M147" style="vertical-align:-3.2911pt" version="1.1" viewbox="-0.0498162 -11.5914 85.4135 14.8825" width="85.4135pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g 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93C90 101 82 99 72 92C60 82 51 68 50 59C48 46 52 38 66 24C82 9 125 -12 172 -12C225 -11 292 15 346 59C408 108 437 166 437 226C437 309 371 397 242 397C214 397 170 382 133 369L158 548Z"></path></g></svg></span></td><td class="align_center">0.78</td></tr><tr><td class="align_left" colspan="5"><hr/></td></tr><tr><td class="align_left">the activity of water in</td><td class="align_center">Rock porosity</td><td class="align_center">Poisson ratio</td><td class="align_center">Structural stress coefficient</td><td class="align_center">Structural stress coefficient</td></tr><tr><td class="align_left">formation <svg height="12.5794pt" id="M149" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 35.3788 12.5794" width="35.3788pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 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<div>Conventional parameters of rock formation.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Calculation Model of Rock Fracture Pressure with Multifields in the Process of Fracturing 