Seismic data are routinely used to infer in situ properties of earth materials on many scales, ranging from global studies to investigations of surficial geological formations. While inversion and imaging algorithms utilizing these data have improved steadily, there are remaining challenges that make detailed measurements of the properties of some geologic materials very difficult. For example, the determination of the concentration and orientation of fracture systems is prohibitively expensive to simulate on the fine grid and, thus, some type of coarse-grid simulations are needed. In this paper, we describe a new multiscale finite element algorithm for simulating seismic wave propagation in heterogeneous media. This method solves the wave equation on a coarse grid using multiscale basis functions and a global coupling mechanism to relate information between fine and coarse grids. Using a mixed formulation of the wave equation and staggered discontinuous basis functions, the proposed multiscale methods have the following properties. • The total wave energy is conserved. • Mass matrix is diagonal on a coarse grid and explicit energy-preserving time discretization does not require solving a linear system at each time step. • Multiscale basis functions can accurately capture the subgrid variations of the solution and the time stepping is performed on a coarse grid. We discuss various subgrid capturing mechanisms and present some preliminary numerical results.
|Original language||English (US)|
|Title of host publication||Advances in Adaptive Data Analysis|
|Publisher||World Scientific Pub Co Pte Lt|
|Number of pages||18|
|State||Published - Nov 20 2011|
Bibliographical noteKAUST Repository Item: Exported on 2022-07-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: The work of YE is partially supported by award number KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). Further YE’s work is partially supported by NSF (724704, 0811180, 0934837) and DOE. RLG is partially supported by award number KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and by the US Department of Energy under grant number DE-FG03-00ER15034.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications