Computing Reviews
Today's Issue Hot Topics Search Browse Recommended My Account Log In
Review Help
A random boundary value problem modeling spatial variability in porous media flow
Dikow E., Hornung U. (ed)  Numerical simulation in oil recovery (, Minneapolis, MN, Dec 1-12, 1986)1171986.Type:Proceedings
Date Reviewed: Jul 1 1989

This brief paper is entirely devoted to the mathematical theory of the partial differential equation for porous flow. The authors note that the permeability in the Darcy equation is a rapidly oscillating function in space and suggest that one should assume that it is a random field. They then define the problem as a random boundary value problem. In outline (this paper contains no detailed proofs), the authors show that a unique weak solution to this partial differential equation exists. They proceed to define a random total flux, then assume the permeability to be the product of a deterministic function and the exponential of a random function. Next, they calculate the total flux to within a defined remainder by using the solutions to three successively solved boundary value problems. Finally, they present formulations of the moments of the total flux.

This paper does not discuss numerical implementation. For this, the reader is referred to an as-yet-unpublished paper, referenced only by title and author, “to appear.” Similarly, the reader has to consult a thesis dissertation by one of the authors for the complete proofs of the lemmas and theorems cited.

Reviewer:  Melvin L. Tobias Review #: CR113174
Bookmark and Share
  Featured Reviewer  
Would you recommend this review?
Other reviews under "Engineering": Date
Development of scientific and engineering software for nuclear applications
Trauboth H.  Tools, methods and languages for scientific and engineering computation (, Paris, France,1331984. Type: Proceedings
Sep 1 1985
Jerry Wiesner, scientist, statesman, humanist: memories and memoirs
Rosenblith W., MIT Press, Cambridge, MA, 2004. Type: Book (9780262182324)
Mar 26 2004
Adaptive control: stability, convergence, and robustness
Sastry S., Bodson M., Prentice-Hall, Inc., Upper Saddle River, NJ, 1989. Type: Book (9789780130043269)
Aug 1 1990

E-Mail This Printer-Friendly
Send Your Comments
Contact Us
Reproduction in whole or in part without permission is prohibited.   Copyright 2004™
Terms of Use
| Privacy Policy