Three dimensional wave equation depth migration by a direct solution method

Dan Kosloff; Hillel Tal-Ezer; Allon Bartana; Evgeny Ragoza; Andrei Shabelansky

Three dimensional wave equation depth migration by a direct solution method

Dan Kosloff, Hillel Tal-Ezer, Allon Bartana, Evgeny Ragoza, Andrei Shabelansky

Department of Geophysics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We propose a new method for wave equation depth migration which is carried out by depth stepping in the space-temporal frequency domain. The propagation of the solution is based on a rational expansion of the formal solution to the acoustic wave equation. The expansion coefficients are calculated by a filter design approach. The method is not based on one way wave equations or on perturbations to constant velocity solutions to the wave equation, but rather it uses the constant density variable velocity wave equation as the basis. The method has a good steep dip response and can handle strong lateral variations in the subsurface velocity. The new method is tested against the Sigsbee data set and the 3D SEG salt model.

Original language	English
Title of host publication	Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006
Publisher	Society of Exploration Geophysicists
Pages	2490-2493
Number of pages	4
ISBN (Print)	9781604236972
State	Published - 2018
Event	Society of Exploration Geophysicists International Exposition and 76tth Annual Meeting 2006, SEG 2006 - New Orleans, United States Duration: 1 Oct 2006 → 6 Oct 2006

Publication series

Name	Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006

Conference

Conference	Society of Exploration Geophysicists International Exposition and 76tth Annual Meeting 2006, SEG 2006
Country/Territory	United States
City	New Orleans
Period	1/10/06 → 6/10/06

Cite this

Kosloff, D., Tal-Ezer, H., Bartana, A., Ragoza, E., & Shabelansky, A. (2018). Three dimensional wave equation depth migration by a direct solution method. In Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006 (pp. 2490-2493). (Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006). Society of Exploration Geophysicists.

Kosloff, Dan ; Tal-Ezer, Hillel ; Bartana, Allon et al. / Three dimensional wave equation depth migration by a direct solution method. Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006. Society of Exploration Geophysicists, 2018. pp. 2490-2493 (Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006).

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title = "Three dimensional wave equation depth migration by a direct solution method",

abstract = "We propose a new method for wave equation depth migration which is carried out by depth stepping in the space-temporal frequency domain. The propagation of the solution is based on a rational expansion of the formal solution to the acoustic wave equation. The expansion coefficients are calculated by a filter design approach. The method is not based on one way wave equations or on perturbations to constant velocity solutions to the wave equation, but rather it uses the constant density variable velocity wave equation as the basis. The method has a good steep dip response and can handle strong lateral variations in the subsurface velocity. The new method is tested against the Sigsbee data set and the 3D SEG salt model.",

author = "Dan Kosloff and Hillel Tal-Ezer and Allon Bartana and Evgeny Ragoza and Andrei Shabelansky",

year = "2018",

language = "אנגלית",

isbn = "9781604236972",

series = "Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006",

publisher = "Society of Exploration Geophysicists",

pages = "2490--2493",

booktitle = "Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006",

address = "ארצות הברית",

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Kosloff, D, Tal-Ezer, H, Bartana, A, Ragoza, E & Shabelansky, A 2018, Three dimensional wave equation depth migration by a direct solution method. in Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006. Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006, Society of Exploration Geophysicists, pp. 2490-2493, Society of Exploration Geophysicists International Exposition and 76tth Annual Meeting 2006, SEG 2006, New Orleans, United States, 1/10/06.

Three dimensional wave equation depth migration by a direct solution method. / Kosloff, Dan; Tal-Ezer, Hillel; Bartana, Allon et al.

Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006. Society of Exploration Geophysicists, 2018. p. 2490-2493 (Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Three dimensional wave equation depth migration by a direct solution method

AU - Kosloff, Dan

AU - Tal-Ezer, Hillel

AU - Bartana, Allon

AU - Ragoza, Evgeny

AU - Shabelansky, Andrei

PY - 2018

Y1 - 2018

N2 - We propose a new method for wave equation depth migration which is carried out by depth stepping in the space-temporal frequency domain. The propagation of the solution is based on a rational expansion of the formal solution to the acoustic wave equation. The expansion coefficients are calculated by a filter design approach. The method is not based on one way wave equations or on perturbations to constant velocity solutions to the wave equation, but rather it uses the constant density variable velocity wave equation as the basis. The method has a good steep dip response and can handle strong lateral variations in the subsurface velocity. The new method is tested against the Sigsbee data set and the 3D SEG salt model.

AB - We propose a new method for wave equation depth migration which is carried out by depth stepping in the space-temporal frequency domain. The propagation of the solution is based on a rational expansion of the formal solution to the acoustic wave equation. The expansion coefficients are calculated by a filter design approach. The method is not based on one way wave equations or on perturbations to constant velocity solutions to the wave equation, but rather it uses the constant density variable velocity wave equation as the basis. The method has a good steep dip response and can handle strong lateral variations in the subsurface velocity. The new method is tested against the Sigsbee data set and the 3D SEG salt model.

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PB - Society of Exploration Geophysicists

Y2 - 1 October 2006 through 6 October 2006

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Kosloff D, Tal-Ezer H, Bartana A, Ragoza E, Shabelansky A. Three dimensional wave equation depth migration by a direct solution method. In Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006. Society of Exploration Geophysicists. 2018. p. 2490-2493. (Society of Exploration Geophysicists - SEG International Exposition and 76tth Annual Meeting 2006, SEG 2006).

Three dimensional wave equation depth migration by a direct solution method

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