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
收藏
页数：12
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