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The inverse problem
of seismic fault determination using part time
measurements
Huy Duong Bui, Andrei Constantinescu and Hubert Maigre |
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Vol. 7 (2012), No. 10, 997–1007
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Abstract |
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This paper shows how a part time measurement of the acceleration on the ground can be done to avoid the consideration of reflections of seismic waves on the Moho discontinuity. A bounded hemispherical solid is considered with radius greater than , but smaller than the Moho depth, in order to get the null boundary conditions on the hemispherical surface. The inverse problem to determine the fault plane and the time-dependent fault geometry is well-defined and solved in closed form by the reciprocity gap functional method. Two formulae are established for the components of the fault slip, which involve time and spatial Fourier transforms of some quantities related to the reciprocity gap functional. A forward initial boundary value problem in elastodynamics enables us to get the internal wave field, the shear stress as well as the normal stress on the fault. This full solution would be useful for understanding the friction mechanism on the fault during a real strike, whenever the initial uniform tectonic stresses are known from geophysical considerations. |
Keywords
earthquake, inverse problem, reciprocity gap, elastic wave,
fault history
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Milestones
Received: 18 October 2012
Accepted: 16 November 2012
Published: 1 March 2013
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Authors |
| Huy Duong Bui | |
| Laboratoire de Mécanique des
Solides, CNRS UMR 7649 École Polytechnique ParisTech Route de Saclay 91128 Palaiseau France |
LaMSID/UMR EDF-CNRS-CEA 2832, EDF,
Clamart, France UME Mecanique, ENSTA ParisTech, France |
| Andrei Constantinescu | |
| Laboratoire de Mécanique des
Solides, CNRS UMR 7649 École Polytechnique ParisTech Route de Saclay 91128 Palaiseau France |
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| Hubert Maigre | |
| INSA-Lyon Villeurbanne 69621 Lyon France |
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