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Spectral Element Simulations of Wave Propagation in Porous Fluid-Saturated Media

Moezzi, Mohammad Javad | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47446 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Naghd Abadi, Reza; Asghari, Mohsen; Mazaheri, Hashem
  7. Abstract:
  8. The aim of this work is numerical analysis of wave propagation in earth by using spectral element method for single and multi phase with application in oil industry. In this method, numerical solution has high accuracy due to using high order polynomials and appropriate integration points. Also, the mass matrix is diagonal by using this method which results in considerable decrease in computational cost with respect to finite element method.
    The wave propagation in the mentioned models is studied by many researchers. The main problem in petroleum industry is large dimension of the model which results in high computational costs. Thus, using the proper numerical approach for these problems is vital and attracted a great deal of interest of researchers. Some approaches such as using sparse matrix and solving the problems using parallelization in frequency domain and assemblage matrices are suggested.
    In this work, numerical tools are developed for simulation of wave propagation in acoustic, elastic and porous media by using spectral element method. The numerical method is verified by comparing with some analytical and numerical results available in the literature. For simulating semi-infinite nature of earth shell, we use absorbing boundary condition on the boundary of the finite model which results in reduction of artificial reflection of the wave from the boundary of the model. Also, the wave propagation in porous media is studied for viscous and non-viscous fluid. Implementing Fourier transformation, the governing equations are solved in the frequency domain. Using the developed numerical tools, some real problems are solved for each media such as multi-layer acoustic, elastic and saturated porous media. The results show that the model is capable of predicting the wave propagation in compacted sediments to detect the seismic signature of buried landmines and unexploded ordnance
  9. Keywords:
  10. Homogeneous Porous Media ; Heterogeneous Porous Media ; Numerical Simulation ; Wave Propagation ; Absorbing Boundary ; Finite Element Method

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