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Title: Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media

It is important to develop fast yet accurate numerical methods for seismic wave propagation to characterize complex geological structures and oil and gas reservoirs. However, the computational cost of conventional numerical modeling methods, such as finite-difference method and finite-element method, becomes prohibitively expensive when applied to very large models. We propose a Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media, where we construct basis functions from multiple local problems for both the boundaries and interior of a coarse node support or coarse element. The application of multiscale basis functions can capture the fine scale medium property variations, and allows us to greatly reduce the degrees of freedom that are required to implement the modeling compared with conventional finite-element method for wave equation, while restricting the error to low values. We formulate the continuous Galerkin and discontinuous Galerkin formulation of the multiscale method, both of which have pros and cons. Applications of the multiscale method to three heterogeneous models show that our multiscale method can effectively model the elastic wave propagation in anisotropic media with a significant reduction in the degrees of freedom in the modeling system.
Authors:
 [1] ;  [2] ;  [1] ;  [3] ;  [2] ;  [4]
  1. Department of Geology and Geophysics, Texas A&M University, College Station, TX 77843 (United States)
  2. Department of Mathematics, Texas A&M University, College Station, TX 77843 (United States)
  3. Department of Mathematics, The Chinese University of Hong Kong, Shatin, NT (Hong Kong)
  4. (NumPor), King Abdullah University of Science and Technology, Thuwal (Saudi Arabia)
Publication Date:
OSTI Identifier:
22465640
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 295; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; DEGREES OF FREEDOM; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; GEOLOGIC STRUCTURES; NATURAL GAS DEPOSITS; PETROLEUM DEPOSITS; SEISMIC WAVES; SIMULATION; WAVE EQUATIONS; WAVE PROPAGATION