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Reconstruction of pressure velocities and boundaries of thin layers in thinly-stratified layers
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A. L. Karchevsky
Veröffentlicht/Copyright:
20. Oktober 2010
Abstract
The algorithm of reconstruction of pressure velocities in a thinly stratified layer and of the location of the gap points of medium is suggested. The analytic expressions for derivatives of residual functional with respect to the pressure velocities in thin layers and by the coordinate of gap points of medium are obtained. The suggested algorithm is tested by numerical examples.
Keywords.: Inverse problem; pressure velocity; gap point of medium; horizontally stratified medium; thinly stratified layer; residual functional; gradient of residual functional; layer stripping method
Received: 2009-05-18
Published Online: 2010-10-20
Published in Print: 2010-October
© de Gruyter 2010
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Artikel in diesem Heft
- An inverse nodal problem for integro-differential operators
- Reconstruction of pressure velocities and boundaries of thin layers in thinly-stratified layers
- Restoration of tape matrices with the help of the spectral date
- On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform
- On regularization method for numerical inversion of the Laplace transforms computable at any point on the real axis
- Discrepancy principle for generalized GN iterations combined with the reverse connection control
- Recovering memory kernels in parabolic transmission problems in infinite time intervals: the non-accessible case
Schlagwörter für diesen Artikel
Inverse problem;
pressure velocity;
gap point of medium;
horizontally stratified medium;
thinly stratified layer;
residual functional;
gradient of residual functional;
layer stripping method
Artikel in diesem Heft
- An inverse nodal problem for integro-differential operators
- Reconstruction of pressure velocities and boundaries of thin layers in thinly-stratified layers
- Restoration of tape matrices with the help of the spectral date
- On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform
- On regularization method for numerical inversion of the Laplace transforms computable at any point on the real axis
- Discrepancy principle for generalized GN iterations combined with the reverse connection control
- Recovering memory kernels in parabolic transmission problems in infinite time intervals: the non-accessible case