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Title: Local time–space mesh refinement for simulation of elastic wave propagation in multi-scale media

This paper presents an original approach to local time–space grid refinement for the numerical simulation of wave propagation in models with localized clusters of micro-heterogeneities. The main features of the algorithm are –the application of temporal and spatial refinement on two different surfaces; –the use of the embedded-stencil technique for the refinement of grid step with respect to time; –the use of the Fast Fourier Transform (FFT)-based interpolation to couple variables for spatial mesh refinement. The latter makes it possible to perform filtration of high spatial frequencies, which provides stability in the proposed finite-difference schemes. In the present work, the technique is implemented for the finite-difference simulation of seismic wave propagation and the interaction of such waves with fluid-filled fractures and cavities of carbonate reservoirs. However, this approach is easy to adapt and/or combine with other numerical techniques, such as finite elements, discontinuous Galerkin method, or finite volumes used for approximation of various types of linear and nonlinear hyperbolic equations.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [2] ;  [5]
  1. Intel, Novosibirsk (Russian Federation)
  2. Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk (Russian Federation)
  3. (Russian Federation)
  4. Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk (Russian Federation)
  5. (Kazakhstan)
Publication Date:
OSTI Identifier:
22382169
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 281; Other Information: Copyright (c) 2014 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; ALGORITHMS; APPROXIMATIONS; CARBONATES; COMPUTERIZED SIMULATION; FILTRATION; FINITE DIFFERENCE METHOD; FLUIDS; FOURIER TRANSFORMATION; FRACTURES; INTERPOLATION; NONLINEAR PROBLEMS; SEISMIC WAVES; SPACE; SURFACES; WAVE PROPAGATION