Commun. Comput. Phys.,
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Volume 3.


Numerical Modeling of Elastic Wave Propagation in a Fluid-Filled Borehole

Arthur C. H. Cheng 1*, Joakim O. Blanch 2

1 Cambridge GeoSciences, 14090 Southwest Freeway, Suite 300, Sugar Land, TX 77478, USA.
2 Nexus GeoSciences, 14090 Southwest Freeway, Suite 240, Sugar Land, TX 77478, USA; previously at SensorWise, Inc., 2908 Rodgerdale, Houston, TX 77042, USA.

Received 8 March 2007; Accepted (in revised version) 6 June 2007
Available online 14 September 2007

Abstract

We review the methods of simulating elastic wave propagation in a borehole. We considered two different approaches: a quasi-analytic approach using the Discrete Wavenumber Summation Method, and the purely numerical Finite Difference Method. We consider the special geometry of the borehole and discuss the problem in cylindrical coordinates. We point out some numerical difficulties that are particularly unique to this problem in cylindrical coordinates.

AMS subject classifications: 86-08

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Key words: Acoustic, borehole, numerical modeling.

*Corresponding author.
Email: arthurcheng@alum.mit.edu (A. C. H. Cheng), jblanch@NexusGeo.com (J. O. Blanch)
 

The Global Science Journal