A Poroelastic PKN Hydraulic Fracture Model Based on an Explicit Moving Mesh Algorithm

E. Detournay, A. H.D. Cheng, J. D. McLennan

Research output: Contribution to journalArticle

52 Scopus citations

Abstract

This paper describes the mathematical formulation of a Perkins-Kern-Nordgren (PKN) fracture model, that accounts for the existence of poroelastic effects in the reservoir. The poroelastic effects, induced by leak-off of the fracturing fluid, are treated in a manner consistent with the basic assumptions of the PKN model, by means of a transient influence function. The fracture model is formulated in a moving coordinates system and solved using an explicit finite difference technique. The numerical algorithm has the following features: fixed mesh, adaptive control of the time step, and unconstrained fracture length during shut-in. Numerical simulation with this model indicates that poroelastic processes could be responsible for a significant increase of the treatment pressure, but that they have virtually no influence on the fracture length and fracture width.

Original languageEnglish (US)
Pages (from-to)224-230
Number of pages7
JournalJournal of Energy Resources Technology, Transactions of the ASME
Volume112
Issue number4
DOIs
StatePublished - Dec 1990

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