0
RESEARCH PAPERS

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

[+] Author and Article Information
E. Detournay

Schlumberger Cambridge Research, Cambridge, England

A. H.-D. Cheng

Department of Civil Engineering, University of Delaware, Newark, DE 19716

J. D. McLennan

TerraTek Inc., Salt Lake City, UT 84108

J. Energy Resour. Technol 112(4), 224-230 (Dec 01, 1990) (7 pages) doi:10.1115/1.2905762 History: Received January 25, 1990; Revised September 14, 1990; Online April 16, 2008

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.

Copyright © 1990 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In