SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Contributed Talk

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Detection of weak inclusions in poroelastic soils using Small Amplitude Homogenization

J. Mura

This contribution is devoted to the determination of subsurface images for the identification of aquifers, oil and gas reservoirs, which are very important for applications in hydrology, groundwater quality assessment, among many others. To this end, we consider the Biot's model for fully saturated poroelastic soils in time harmonic regime, where it is applied some recent developments for inverse problems as the small amplitude homogenization method. This conceives the construction of a minimizing sequence by assuming that the contrast between the two possible values for the parameters are not very large. Hence, it is performed an asymptotic approximation up to second order with respect to the contrast parameter, which lead us to a new set of simplified equations to solve. In particular, this evaluation involves the computation of the H-measure associated to the Biot's model. Finally, some numerical results will be shown to demonstrate the performance and reliability of this method.

Organized by         Universidad de Valladolid     IMUVA