### Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock

B. Chen, Andrew Barron , D. R. J. Owen, Chen-Feng Li, Chenfeng Li , Roger Owen

Journal of Applied Mechanics, Volume: 85, Issue: 9, Start page: 091003

Swansea University Authors: Andrew Barron ,

• PDF | Accepted Manuscript

DOI (Published version): 10.1115/1.4040331

Abstract

Based on the KGD scheme, this paper investigates, with both analytical and numerical approaches, the propagation of a hydraulic fracture with a fluid lag in permeable rock. On the analytical aspect, the general form of normalized governing equations is first formulated to take into account both flui...

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Published in: Journal of Applied Mechanics 0021-8936 2018 https://cronfa.swan.ac.uk/Record/cronfa43364 No Tags, Be the first to tag this record!
Abstract: Based on the KGD scheme, this paper investigates, with both analytical and numerical approaches, the propagation of a hydraulic fracture with a fluid lag in permeable rock. On the analytical aspect, the general form of normalized governing equations is first formulated to take into account both fluid lag and leak-off during the process of hydraulic fracturing. Then a new self-similar solution corresponding to the limiting case of zero dimensionless confining stress (T=0) and infinite dimensionless leak-off coefficient (L=∞) is obtained. A dimensionless parameter R is proposed to indicate the propagation regimes of hydraulic fracture in more general cases, where R is defined as the ratio of the two time-scales related to the dimensionless confining stress T and the dimensionless leak-off coefficient L. In addition, a robust finite element-based KGD model has been developed to simulate the transient process from L=0 to L=∞ under T=0, and the numerical solutions converge and agree well with the self-similar solution at T=0 and L=∞. More general processes from T=0 and L=0 to T=∞ and L=∞ for three different values of R are also simulated, which proves the effectiveness of the proposed dimensionless parameter R for indicating fracture regimes. Faculty of Science and Engineering 9 091003