Journal ArticleDOI
Computer simulation of hydraulic fractures
TLDR
In this article, the authors provide a brief historical background of the development of hydraulic fracturing models for use in the petroleum and other industries, and discuss scaling laws and propagation regimes that control the growth of hydraulic fractures from the laboratory to the field scale.About:
This article is published in International Journal of Rock Mechanics and Mining Sciences.The article was published on 2007-07-01. It has received 909 citations till now. The article focuses on the topics: Hydraulic fracturing.read more
Citations
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Proceedings ArticleDOI
Modeling of Hydraulic-Fracture-Network Propagation in a Naturally Fractured Formation
Journal ArticleDOI
Mechanics of Hydraulic Fractures
TL;DR: In this paper, the authors investigate the interplay and the competition between these processes, which reveal the shifting influence of the far-field stress, viscous dissipation, fracture energy, and leak-off as the fracture propagates.
Journal ArticleDOI
Numerical modeling of hydraulic fracture problem in permeable medium using cohesive zone model
Benoit Carrier,Sylvie Granet +1 more
TL;DR: In this article, a zero-thickness finite element was developed to model the fracture propagation in a poroelastic medium, and the fluid-driven fracture propagation is governed by a cohesive zone model and the flow within the fracture by the lubrication equation.
Journal ArticleDOI
Simultaneous Multifracture Treatments: Fully Coupled Fluid Flow and Fracture Mechanics for Horizontal Wells
Kan Wu,Jon E. Olson +1 more
Journal ArticleDOI
An implicit level set method for modeling hydraulically driven fractures
TL;DR: In this paper, an implicit level set algorithm is proposed to locate the free boundary for a propagating hydraulic fracture, which exploits the local tip asymptotic behavior, applicable at the computational length scale, in order to locate a free boundary.
References
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Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Journal ArticleDOI
Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
Book
Finite Volume Methods for Hyperbolic Problems
TL;DR: The CLAWPACK software as discussed by the authors is a popular tool for solving high-resolution hyperbolic problems with conservation laws and conservation laws of nonlinear scalar scalar conservation laws.
Journal ArticleDOI
High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
TL;DR: The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is described in this article.