NUMERICAL METHODS FOR INVERSE PROBLEMS IN THREE-DIMENSIONAL GEOPHYSICAL MODELING

Period of Performance: 01/01/1987 - 12/31/1987

$198K

Phase 2 SBIR

Recipient Firm

Weidlinger Assoc., Inc.
40 Wall Street 19th Floor
New York, NY 10005
Principal Investigator

Abstract

NUMERICAL ALGORITHMS WILL BE DEVELOPED AND IMPLEMENTED FOR THE MATHEMATICAL MODELING OF COMPLLEX GEEOLOGICAL REGIONS BY INVERSION OF SEISMIC REFLECTION AND REEFRACTION DATA. SURFACE MODELING, RAY TRACING, NONLINEAR LEAST-SQUARES AND LARGE-SCALE FINITE ELEMENT SOLUTIONS OF THE ELASTIC WAVE EQUATION ARE THE MAIN ASPECTS TO BE CONSIDERED IN AN INTEGRATED WAY. THE AIM IS TO BE ABLE TO IMPROVE CURRENT CAPABILITIES FOR MODELING THREE-DIMENSIONAL, INHOMOGENEOUS, PIECEWISE SMOOTH REGIONS. THIS WILL INVOLVE DETERMINATION OF MATERIALPROPERTIES AND INTERFACES WITH MORE PRECISION AND RESOLUTIONTHAN IS PRESENTLY DONE. THESE CAPABILITIES WILL IMPROVE OUR KNOWLEDGE OF SUBSURFACE GEOLOGY FOR ENERGY RESOURCE PROSPECTING, SEISMIC RISK ASSESMENT, AND OTHER APPLICATIONS.