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Dr. Victor Pereyra
Weidlinger Associates Inc.
Mountain View, CA
victor@wai.com
3-D Seismic Modeling
Course Description
The seismic method is one of the principal tools for imaging the earth interior for hydrocarbon prospecting. Geological modeling is required when using numerical methods for imaging with seismic data. The main phenomenon modeled is the propagation of elastic waves on a heterogeneous complex media. For this purpose we need to solve numerically the wave equation. This is an expensive proposition and as an alternative seismic ray tracing is used for many tasks. In this course we will describe 3D geological modeling, numerical solution of the wave equation, seismic ray tracing in complex media and travel time tomography as an imaging procedure. A computer system that performs these tasks will be used in the laboratory sessions.

 

Course Outline

Lectures 1-2:
3D Geological modeling in blocky media: an object oriented approach; definition of blocky media; curve, surface and volume representation of heterogeneous media with B-splines and Coons patches; least squares approximation of discrete data.

Lecture 3:
Solving the acoustic wave equation. Finite-difference approximations. Absorbing boundary conditions. Model-order reduction. Reverse time migration.

Lecture 4:
Seismic ray tracing in blocky media; the ray equations in heterogeneous, piecewise smooth media; shooting and two-pointing; efficient, automatic solution of realistic ray tracing tasks; parallel solution of large scale seismic ray tracing tasks.

Lecture 5:
Travel time tomography: media parameterization; seismic inversion of parametric media; and block parallel solution of large-scale inversion problems. Full waveform tomography.

Laboratory
The students will have hands on experience in the use of a commercial package (INTEGRA, Weidlinger Associates) and an experimental one (GeoUC, U. de Carabobo) for 3D geological modeling, seismic ray tracing, wave equation solution and tomography, using synthetic and real geology and seismic data sets.

 

 

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Last updated: January 22, 2010 10:15 AM