Abstract
We study general anisotropic elastic media that have a disjoint wave mode, that is, elastic media with the property that one sheet of the slowness surface never intersects the others. We extend results from microlocal analysis to describe the propagation of singularities for the disjoint mode. Applying these results to the study of the dynamic inverse problem, we show that displacement-traction surface measurements uniquely determine the travel time between boundary points for the disjoint mode. We conclude that two of the five elastic parameters describing transversely isotropic elastodynamics with ellipsoidal slowness surfaces and a disjoint mode are partially determined by surface measurements. Our approach is well suited to inhomogeneous materials and applying microlocal analysis to the inverse problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 605-625 |
| Number of pages | 21 |
| Journal | Wave Motion |
| Volume | 44 |
| Issue number | 7-8 |
| DOIs | |
| State | Published - Jan 1 2007 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- Physics and Astronomy(all)
- Computational Mathematics
- Applied Mathematics
Cite this
}
On uniqueness in the inverse problem for transversely isotropic elastic media with a disjoint wave mode. / Mazzucato, Anna L.; Rachele, Lizabeth V.
In: Wave Motion, Vol. 44, No. 7-8, 01.01.2007, p. 605-625.Research output: Contribution to journal › Article
TY - JOUR
T1 - On uniqueness in the inverse problem for transversely isotropic elastic media with a disjoint wave mode
AU - Mazzucato, Anna L.
AU - Rachele, Lizabeth V.
PY - 2007/1/1
Y1 - 2007/1/1
N2 - We study general anisotropic elastic media that have a disjoint wave mode, that is, elastic media with the property that one sheet of the slowness surface never intersects the others. We extend results from microlocal analysis to describe the propagation of singularities for the disjoint mode. Applying these results to the study of the dynamic inverse problem, we show that displacement-traction surface measurements uniquely determine the travel time between boundary points for the disjoint mode. We conclude that two of the five elastic parameters describing transversely isotropic elastodynamics with ellipsoidal slowness surfaces and a disjoint mode are partially determined by surface measurements. Our approach is well suited to inhomogeneous materials and applying microlocal analysis to the inverse problem.
AB - We study general anisotropic elastic media that have a disjoint wave mode, that is, elastic media with the property that one sheet of the slowness surface never intersects the others. We extend results from microlocal analysis to describe the propagation of singularities for the disjoint mode. Applying these results to the study of the dynamic inverse problem, we show that displacement-traction surface measurements uniquely determine the travel time between boundary points for the disjoint mode. We conclude that two of the five elastic parameters describing transversely isotropic elastodynamics with ellipsoidal slowness surfaces and a disjoint mode are partially determined by surface measurements. Our approach is well suited to inhomogeneous materials and applying microlocal analysis to the inverse problem.
UR - http://www.scopus.com/inward/record.url?scp=34447283049&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34447283049&partnerID=8YFLogxK
U2 - 10.1016/j.wavemoti.2007.03.004
DO - 10.1016/j.wavemoti.2007.03.004
M3 - Article
AN - SCOPUS:34447283049
VL - 44
SP - 605
EP - 625
JO - Wave Motion
JF - Wave Motion
SN - 0165-2125
IS - 7-8
ER -