Propagation of a penny-shaped fluid-driven fracture in an impermeable rock: asymptotic solutions

Savitski, Alexei A.; Detournay, Emmanuel

doi:10.1016/s0020-7683(02)00492-4

Cited by 362 publications

(480 citation statements)

References 19 publications

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“…The results are for the early-time storage/viscosity dominated regime where they can be compared to the semi-analytical solution of Savitski and Detournay (2002) in that propagation regime. All the simulations were performed with a regular mesh.…”

Section: The Necessity Of Verification and Validationmentioning

confidence: 99%

Numerical methods for hydraulic fracture propagation: A review of recent trends

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

334

172

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Section: The Necessity Of Verification and Validationmentioning

confidence: 99%

Numerical methods for hydraulic fracture propagation: A review of recent trends

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

334

172

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“…These are 2D plane strain or axisymmetric models which assume some constraints in either fracture height/length. More recently, fracture propagation has been modelled by incorporating the flow of fluid inside the fracture, and/or the flow of fluid into the pore space of the formation matrix, which is called "leakoff" (Savitski and Detournay 2002;Bunger et al 2005;Kovalyshen 2010;Garagash et al 2011). These studies derive asymptotic solutions of the fracture geometry and pressure for different regimes (e.g.…”

Section: Introductionmentioning

confidence: 99%

Effect of Poroelasticity on Hydraulic Fracture Interactions

et al. 2017

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This study investigates, by performing finite element-based simulations, the influence of fluid leak-off and poroelasticity on growth of multiple hydraulic fractures that initiate from a single horizontal well. In this research, poroelastic deformation of the matrix is coupled with fluid flow in the fractures, and fluid flow in the rock matrix, in three dimensions. Effects of the fluid leakoff and poroelasticity on the propagation of the neighboring fractures are studied by varying the matrix permeability, and the Biot coefficient. Simulation results show that the stress induced by the opening of the fractures, and the stress induced by the fluid leak-off, each have the effect of locally altering the magnitudes and orientations of the principal stresses, hence altering the propagation direction of the fractures. The stress induced by the opening of the fractures tends to propagate both of the fractures away from each other in a curved trajectory, whereas the effects of fluid leak-off and poroelasticity (i.e., a higher Biot coefficient) tend to straighten the curved trajectory.

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“…Such fluid-structure interactions are abundant in nature and technology at all scales; examples include the lateral intrusion of magma under a terrestrial crust [2,3], blood creeping underneath the skin giving bruises their signature color, hydraulic fracturing [4] and the manufacturing of semiconductors [5]. These nonlinear systems are susceptible to interfacial instabilities when multiphase flows are involved, which inspires the present work.…”

mentioning

confidence: 99%