Application of a finite-difference scheme for the time-domain computation of 1D anelastic wavefields to fractured media.
Date
2014-07-07
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Abstract
In this work, I develop a 1D finite-difference formulation that is capable of simulating non-welded contact boundary conditions in anelastic media. I include, in the linear-slip boundary conditions for non-welded contact, the memory variables that are obtained as a result of considering a generalized Maxwell rheology. Then I proceed to obtain a heterogeneous formulation which is a result of the introduction of a fictitious points scheme for the boundary conditions. In other words I obtain a generalized homogeneous formulation. I solve the resulting system of equations and substitute the amplitudes obtained into the equation of motion.
I analyze the numerical results obtained and compare these with an analytical solution and two other anelastic formulations for the welded contact case. I examine different scenarios such as anelastic-anelastic and elastic-anelastic wave propagation in welded and non-welded contact by looking at the transmitted and reflected pulse in welded as well as non-welded contact.
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Geophysics
Citation
Martinez Fernandez, P. E. (2014). Application of a finite-difference scheme for the time-domain computation of 1D anelastic wavefields to fractured media. (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/24955