1994
DOI: 10.1115/1.2906006
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Three-Dimensional Hydraulic Fracture Simulation Using Fixed Grid Finite Element Algorithms

Abstract: A three-dimensional hydraulic fracture simulator (HYFFIX) is reformulated using finite element methodology and a newly adapted fixed grid. The numerical procedures for the coupled equations governing the fracture width, fluid pressure, and evolution of equilibrium planar crack in layered media are summarized. Fixed grid mesh control algorithms for the efficient tracking of the moving crack/fracture fluid front are detailed. The introduction of these novel algorithms in the simulator makes it numerically effici… Show more

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Cited by 5 publications
(4 citation statements)
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“…Leakoff is simulated by using a pressurerelated expression and proppant transport is not considered. Lee et al [182] developed a fixed grid finite element algorithm named HYFFIX. Remeshing and solution interpolation between mesh configurations are avoided in the fixed mesh scheme, but the fracture front needs to be explicitly tracked with a separate method.…”
Section: • Continuity Equationmentioning
confidence: 99%
“…Leakoff is simulated by using a pressurerelated expression and proppant transport is not considered. Lee et al [182] developed a fixed grid finite element algorithm named HYFFIX. Remeshing and solution interpolation between mesh configurations are avoided in the fixed mesh scheme, but the fracture front needs to be explicitly tracked with a separate method.…”
Section: • Continuity Equationmentioning
confidence: 99%
“…Mendelsohn (1984) reviewed both coupled fluid/solid three-dimensional fracture models in linear elastic fracture mechanics applicable to the growth of fractures. Lee et al (1994) reformulated a three-dimensional hydraulic fracture simulator by using the finite element methodology and a newly adapted fixed grid. Adachi and Detournay (2008) described the solution of the plane strain problem of a hydraulic fracture propagating in a permeable, linear elastic medium.…”
Section: Introductionmentioning
confidence: 99%
“…The complexity of the problem seriously restricts the application of classical models like KGD (Perkins and Kern 1961;Nordgren 1972) and PKN (Geertsma and De Klerk 1969;Khristianovich and Zheltov 1955) in optimizing the fracture design. Currently, the prevailing methods for simulating hydraulic fracture propagation include displacement discontinuity method (Varahanaresh and Ahmad 2015;Dharmendra and Ahmad 2016;Wu and Olson 2016;Zhou et al 2015), discrete element method (Deng et al 2014;Conny and Heinz 2015) and finite element method (Zhang et al 2010;Wang et al 2012Wang et al , 2015Mahdi and Kamy 2015;Gonzalez et al 2015;Wang et al 2016;Feng and Gray 2017a;Lee et al 1994). …”
Section: Introductionmentioning
confidence: 99%