The modification of the matrix method of construction of wavefield on the free surface of an anisotropic medium is presented. The earthquake source represented by a randomly oriented force or a seismic moment tensor is placed on an arbitrary boundary of a layered anisotropic medium. The theory of the matrix propagator in a homogeneous anisotropic medium by introducing a "wave propagator" is presented. It is shown that for anisotropic layered medium the matrix propagator can be represented by a "wave propagator" in each layer. The matrix propagator P(z,z0=0) acts on the free surface of the layered medium and generates stress-displacement vector at depth z. The displacement field on the free surface of an anisotropic medium is obtained from the received system of equations considering the radiation condition and that the free surface is stressless. The approbation of the modification of the matrix method for isotropic and anisotropic media with TI symmetry is done. A comparative analysis of our results with the synthetic seismic records obtained by other methods and published in foreign papers is executed.
| Published in | Earth Sciences (Volume 3, Issue 1) |
| DOI | 10.11648/j.earth.20140301.11 |
| Page(s) | 1-8 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2014. Published by Science Publishing Group |
Matrix Propagator, Seismic Moment Tensor, Anisotropic Medium
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APA Style
Anastasiia Pavlova. (2014). The Modification of the Matrix Method for the Modelling of Propagation of the Body Waves. Earth Sciences, 3(1), 1-8. https://doi.org/10.11648/j.earth.20140301.11
ACS Style
Anastasiia Pavlova. The Modification of the Matrix Method for the Modelling of Propagation of the Body Waves. Earth Sci. 2014, 3(1), 1-8. doi: 10.11648/j.earth.20140301.11
AMA Style
Anastasiia Pavlova. The Modification of the Matrix Method for the Modelling of Propagation of the Body Waves. Earth Sci. 2014;3(1):1-8. doi: 10.11648/j.earth.20140301.11
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Download@article{10.11648/j.earth.20140301.11,
author = {Anastasiia Pavlova},
title = {The Modification of the Matrix Method for the Modelling of Propagation of the Body Waves},
journal = {Earth Sciences},
volume = {3},
number = {1},
pages = {1-8},
doi = {10.11648/j.earth.20140301.11},
url = {https://doi.org/10.11648/j.earth.20140301.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.earth.20140301.11},
abstract = {The modification of the matrix method of construction of wavefield on the free surface of an anisotropic medium is presented. The earthquake source represented by a randomly oriented force or a seismic moment tensor is placed on an arbitrary boundary of a layered anisotropic medium. The theory of the matrix propagator in a homogeneous anisotropic medium by introducing a "wave propagator" is presented. It is shown that for anisotropic layered medium the matrix propagator can be represented by a "wave propagator" in each layer. The matrix propagator P(z,z0=0) acts on the free surface of the layered medium and generates stress-displacement vector at depth z. The displacement field on the free surface of an anisotropic medium is obtained from the received system of equations considering the radiation condition and that the free surface is stressless. The approbation of the modification of the matrix method for isotropic and anisotropic media with TI symmetry is done. A comparative analysis of our results with the synthetic seismic records obtained by other methods and published in foreign papers is executed.},
year = {2014}
}
TY - JOUR T1 - The Modification of the Matrix Method for the Modelling of Propagation of the Body Waves AU - Anastasiia Pavlova Y1 - 2014/01/10 PY - 2014 N1 - https://doi.org/10.11648/j.earth.20140301.11 DO - 10.11648/j.earth.20140301.11 T2 - Earth Sciences JF - Earth Sciences JO - Earth Sciences SP - 1 EP - 8 PB - Science Publishing Group SN - 2328-5982 UR - https://doi.org/10.11648/j.earth.20140301.11 AB - The modification of the matrix method of construction of wavefield on the free surface of an anisotropic medium is presented. The earthquake source represented by a randomly oriented force or a seismic moment tensor is placed on an arbitrary boundary of a layered anisotropic medium. The theory of the matrix propagator in a homogeneous anisotropic medium by introducing a "wave propagator" is presented. It is shown that for anisotropic layered medium the matrix propagator can be represented by a "wave propagator" in each layer. The matrix propagator P(z,z0=0) acts on the free surface of the layered medium and generates stress-displacement vector at depth z. The displacement field on the free surface of an anisotropic medium is obtained from the received system of equations considering the radiation condition and that the free surface is stressless. The approbation of the modification of the matrix method for isotropic and anisotropic media with TI symmetry is done. A comparative analysis of our results with the synthetic seismic records obtained by other methods and published in foreign papers is executed. VL - 3 IS - 1 ER -
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