eprintid: 123 rev_number: 4 eprint_status: archive userid: 5 dir: disk0/00/00/01/23 datestamp: 2008-01-24 lastmod: 2015-05-29 19:47:45 status_changed: 2009-04-08 16:54:29 type: report metadata_visibility: show item_issues_count: 0 creators_name: Webster, Paul contributors_name: Agapov, V.E. contributors_name: Ait-Haddou, R. contributors_name: Bohun, C. Sean contributors_name: Dawes, A.T. contributors_name: Duffy, A.M. contributors_name: Grossman, J.P. contributors_name: Irwin, A.J. contributors_name: Jensen, S.T. contributors_name: Modayil, J.V. contributors_name: Nyland, E. contributors_name: Shapiro, V.E. contributors_name: Slawinski, M.A. title: On Seismic Imaging: Geodesics, Isochrons, and Fermat's Principle ispublished: pub subjects: utilities subjects: other studygroups: ipsw2 companyname: Mechanical Engineering, University of Calgary full_text_status: public abstract: 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. 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. date: 1998-06-05 date_type: published citation: Webster, Paul (1998) On Seismic Imaging: Geodesics, Isochrons, and Fermat's Principle. [Study Group Report] document_url: http://miis.maths.ox.ac.uk/miis/123/1/geomechanics.pdf