Group invariant solution for a pre-existing fracture driven by a power-law fluid in permeable rock

被引：1

作者：

Fareo, A. G. ^{[1
]}

Mason, D. P. ^{[1
]}

机构：

[1] Univ Witwatersrand, DST NRF Ctr Excellence Math & Stat Sci, Sch Comp Sci & Appl Math, Private Bag 3, ZA-2050 Johannesburg, South Africa

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2016年 / 30卷 / 28-29期

基金：

新加坡国家研究基金会;

关键词：

Hydraulic fracture; leak-off velocity; lubrication theory; PKN approximation; power-law rheology; Lie point symmetries;

D O I：

10.1142/S0217979216400105

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Group invariant analytical and numerical solutions for the evolution of a two-dimensional fracture with nonzero initial length in permeable rock and driven by an incompressible non-Newtonian fluid of power-law rheology are obtained. The effect of fluid leak-off on the evolution of the power-law fluid fracture is investigated.

引用

页数：12

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