TY - JOUR

T1 - Solving an Inverse Dynamic Seismic Problem by Multicomponent Elastic Full Waveform Inversion

AU - Gadylshin, K. G.

AU - Tcheverda, V. A.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - A numerical method for solving an inverse problem of the theory of seismic wave propagation, relying on the modified least square method, is proposed, substantiated, and implemented. The proposed modification is based on the decomposition of the velocity model of the geological medium into the subspaces of smoothly changing propagators and sharply changing reflectors. The modified functional exhibits strong nonlinearity relative to the macro-velocity component, since the operator M, which transforms the time reflector to the space reflector, depends on it significantly. However, the low dimensions of the subspace of the macro-velocity models make it possible to use quite effective minimizing methods successfully.

AB - A numerical method for solving an inverse problem of the theory of seismic wave propagation, relying on the modified least square method, is proposed, substantiated, and implemented. The proposed modification is based on the decomposition of the velocity model of the geological medium into the subspaces of smoothly changing propagators and sharply changing reflectors. The modified functional exhibits strong nonlinearity relative to the macro-velocity component, since the operator M, which transforms the time reflector to the space reflector, depends on it significantly. However, the low dimensions of the subspace of the macro-velocity models make it possible to use quite effective minimizing methods successfully.

UR - http://www.scopus.com/inward/record.url?scp=85056313581&partnerID=8YFLogxK

U2 - 10.1134/S1028334X18100227

DO - 10.1134/S1028334X18100227

M3 - Article

AN - SCOPUS:85056313581

VL - 482

SP - 1365

EP - 1369

JO - Doklady Earth Sciences

JF - Doklady Earth Sciences

SN - 1028-334X

IS - 2

ER -