Study Groups

On Seismic Imaging: Geodesics, Isochrons, and Fermat's Principle

Webster, Paul (1998) On Seismic Imaging: Geodesics, Isochrons, and Fermat's Principle. Canadian Industrial Problem Solving Workshops > 2nd IPSW [Calgary 1/6/1998 - 5/6/1998].

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Abstract/Summary

Analytic expressions are derived for the isochrons in an inhomogeneous medium characterized by a linear velocity gradient and for an anisotropic medium characterized by an elliptical velocity dependence. The results were generated for a single surface source and five wellbore receivers over a dipping interface. The traveltime and reflection-point results appear to be sensitive to a given assumption of the velocity field. In complex geological areas the location of the planar reflector is tangent to the convex hull of isochrons and might not correspond to their intersection points since the two concepts need to coincide.

Item Type:Study Group Report
Study Group:Canadian Industrial Problem Solving Workshops > 2nd IPSW [Calgary 1/6/1998 - 5/6/1998]
Company Name:Mechanical Engineering, University of Calgary
Industrial Sector:Energy and utilities
None/Other
Additional Contributors:Agapov, V.E. and Ait-Haddou, R. and Bohun, C. Sean and Dawes, A.T. and Duffy, A.M. and Grossman, J.P. and Irwin, A.J. and Jensen, S.T. and Modayil, J.V. and Nyland, E. and Shapiro, V.E. and Slawinski, M.A.
ID Code:123
Deposited By:Richard Booth
Deposited On:24 January 2008

Problem Statement

The Geomechanical project is a joint effort of Petro-Canada, PanCanadian, Talisman and Western Atlas. To profile core underground structures, seismic waves are sent from a source to a receiver. The problem is to determine this profile when the ground density is not constant.

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