THE CRACK-TIP REGION IN HYDRAULIC FRACTURING

被引：221

作者：

DESROCHES, J ^{[1
]}

DETOURNAY, E ^{[1
]}

LENOACH, B ^{[1
]}

PAPANASTASIOU, P ^{[1
]}

PEARSON, JRA ^{[1
]}

THIERCELIN, M ^{[1
]}

CHENG, A ^{[1
]}

机构：

[1] UNIV DELAWARE,NEWARK,DE 19716

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1994年 / 447卷 / 1929期

关键词：

D O I：

10.1098/rspa.1994.0127

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We present analytical tip region solutions for fracture width and pressure when a power law fluid drives a plane strain fracture in an impermeable linear elastic solid. Our main result is an intermediate asymptotic solution in which the tip region stress is dominated by a singularity which is particular to the hydraulic fracturing problem. Moreover this singularity is weaker than the inverse square root singularity of linear elastic fracture mechanics. We also show how the solution for a semi-infinite crack may be exploited to obtain a useful approximation for the finite case.

引用

页码：39 / 48

页数：10

共 12 条

[1]

Atkinson B.K., 1987, FRACTURE MECH ROCK, P477, DOI DOI 10.1016/B978-0-12-066266-1.50016-8

[2]

Barenblatt G, 1979, SIMILARITY SELF SIMI

[3]

Bird RB, 1987, DYNAMICS POLYM LIQUI, V91, P1397, DOI DOI 10.1016/0377-0257(78)80009-3

[4] MODELING THE PROPAGATION AND CLOSURE OF MICRO-HYDRAULIC FRACTURES [J].

DESROCHES, J ;

THIERCELIN, M .

INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES & GEOMECHANICS ABSTRACTS, 1993, 30 (07) :1231-1234

[5]

GEERTSMA J, 1979, T ASME, V101, P8

[6]

KANNINEN MF, 1985, ADV FRACTURE MECHANI

[7]

KRISTIANOVIC SA, 1955, 4TH P WORLD PET C RO, V2, P579

[8]

Muskhelishvili N.I., 1953, SOME BASIC PROBLEMS, V15

[9]

PERKINS TK, 1961, T SOC PETROL EN AIME, V222, P937

[10]

Sneddon I. N., 1969, CRACK PROBLEMS CLASS

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