Group invariant solution for a pre-existing fracture driven by a power-law fluid in permeable rock-Reference-Cited by-同舟云学术

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

Published:2016-11-10 Issue:28n29 Volume:30 Page:1640010
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Fareo A. G.¹,Mason D. P.¹

Affiliation:

1. School of Computer Science and Applied Mathematics, DST-NRF Centre of Excellence in Mathematical and Statistical Sciences, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979216400105

Reference6 articles.

1. Widths of Hydraulic Fractures

2. A group invariant solution for a pre-existing fluid-driven fracture in permeable rock

3. A. G. Fareo and D. P. Mason, Commun. Nonlinear Sci. Numer. Simul. 18, 3298 (2013).

4. On the Transformation of a Class of Boundary Value Problems into Initial Value Problems for Ordinary Differential Equations

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