Mathematical models of seismics in composite media: elastic and poro-elastic components
In the present paper we consider elastic and poroelastic media having a common interface. We derive the macroscopic mathematical models for seismic wave propagation through these two different media as a homogenization of the exact mathematical model at the microscopic level. They consist of sei...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/184/abstr.html |
| Summary: | In the present paper we consider elastic and poroelastic media
having a common interface. We derive the macroscopic mathematical
models for seismic wave propagation through these two different
media as a homogenization of the exact mathematical model at
the microscopic level. They consist of seismic equations for
each component and boundary conditions at the common interface,
which separates different media. To do this we use the two-scale
expansion method in the corresponding integral identities, defining
the weak solution. We illustrate our results with the numerical
implementations of the inverse problem for the simplest model. |
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| ISSN: | 1072-6691 |