TY - GEN
T1 - Recovery of the velocity and the shape of the interface of a geological layer
AU - Zein, S.
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
AN - SCOPUS:84858690206
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 -