Recovery of the velocity and the shape of the interface of a geological layer

S. Zein; E. Canot; J. Erhel; N. Nassif

Recovery of the velocity and the shape of the interface of a geological layer

S. Zein, E. Canot, J. Erhel, N. Nassif

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

Abstract

In this paper, we are interested in the determination of the wave velocity and the shape of the lower interface of a geological layer from travel time measures. We start with the forward problem represented by the Eikonal equation and show how it can be solved using the method of characteristics. Then we describe the inverse problem formulated as a nonlinear least squares problem and the optimization method (the simulated annealing) used to solve it. Results corresponding to the second geological layer of an elastic medium are then presented. Finally, we consider the sensitivity of our estimations with respect to the error in the travel time measures using a singular value decomposition.

Original language	English
Title of host publication	Proceedings of the 5th International Conference on Engineering Computational Technology
Publication status	Published - 2006
Externally published	Yes
Event	5th International Conference on Engineering Computational Technology, ECT 2006 - Las Palmas de Gran Canaria, Spain Duration: Sept 12 2006 → Sept 15 2006

Publication series

Name	Proceedings of the 5th International Conference on Engineering Computational Technology

Conference

Conference	5th International Conference on Engineering Computational Technology, ECT 2006
Country/Territory	Spain
City	Las Palmas de Gran Canaria
Period	9/12/06 → 9/15/06

ASJC Scopus Subject Areas

General Computer Science

Cite this

Recovery of the velocity and the shape of the interface of a geological layer. / Zein, S.; Canot, E.; Erhel, J. et al.
Proceedings of the 5th International Conference on Engineering Computational Technology. 2006. (Proceedings of the 5th International Conference on Engineering Computational Technology).

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

Zein, S, Canot, E, Erhel, J & Nassif, N 2006, Recovery of the velocity and the shape of the interface of a geological layer. in Proceedings of the 5th International Conference on Engineering Computational Technology. Proceedings of the 5th International Conference on Engineering Computational Technology, 5th International Conference on Engineering Computational Technology, ECT 2006, Las Palmas de Gran Canaria, Spain, 9/12/06.

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AU - Canot, E.

AU - Erhel, J.

AU - Nassif, N.

PY - 2006

Y1 - 2006

N2 - In this paper, we are interested in the determination of the wave velocity and the shape of the lower interface of a geological layer from travel time measures. We start with the forward problem represented by the Eikonal equation and show how it can be solved using the method of characteristics. Then we describe the inverse problem formulated as a nonlinear least squares problem and the optimization method (the simulated annealing) used to solve it. Results corresponding to the second geological layer of an elastic medium are then presented. Finally, we consider the sensitivity of our estimations with respect to the error in the travel time measures using a singular value decomposition.

AB - In this paper, we are interested in the determination of the wave velocity and the shape of the lower interface of a geological layer from travel time measures. We start with the forward problem represented by the Eikonal equation and show how it can be solved using the method of characteristics. Then we describe the inverse problem formulated as a nonlinear least squares problem and the optimization method (the simulated annealing) used to solve it. Results corresponding to the second geological layer of an elastic medium are then presented. Finally, we consider the sensitivity of our estimations with respect to the error in the travel time measures using a singular value decomposition.

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M3 - Conference contribution

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SN - 1905088094

SN - 9781905088096

T3 - Proceedings of the 5th International Conference on Engineering Computational Technology

BT - Proceedings of the 5th International Conference on Engineering Computational Technology

T2 - 5th International Conference on Engineering Computational Technology, ECT 2006

Y2 - 12 September 2006 through 15 September 2006

ER -

Recovery of the velocity and the shape of the interface of a geological layer

Abstract

Publication series

Conference

ASJC Scopus Subject Areas

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