Modeling seismic wave propagation using staggered-grid mimetic finite differences
Journal Title: Bulletin of Computational Applied Mathematics (Bull CompAMa) - Year 2017, Vol 5, Issue 2
Abstract
Mimetic finite difference (MFD) approximations of continuous gradient and divergence operators satisfy a discrete version of the Gauss-Divergence theorem on staggered grids. On the mimetic approximation of this integral conservation principle, an unique boundary flux operator is introduced that also intervenes on the discretization of a given boundary value problem (BVP). In this work, we present a second-order MFD scheme forseismic wave propagation on staggered grids that discretized free surface and absorbing boundary conditions (ABC) with same accuracy order. This scheme is time explicit after coupling a central three-level finite difference (FD) stencil for numerical integration. Here, we briefly discuss the convergence properties of this scheme and show its higher accuracy on a challenging test when compared to a traditional FD method. Preliminary applications to 2-D seismic scenarios are also presented and show the potential of the mimetic finite difference method.
Authors and Affiliations
Freysimar Solano-Feo, Juan Guevara-Jordan, Carlos González-Ramirez, Otilio Rojas-Ulacio, Beatriz Otero-Calvinyo
Keywords
Related Articles
- EP ID EP254268
- DOI -
- Views 66
- Downloads 0
Modeling seismic wave propagation using staggered-grid mimetic finite differences
Mimetic finite difference (MFD) approximations of continuous gradient and divergence operators satisfy a discrete version of the Gauss-Divergence theorem on staggered grids. On the mimetic approximation of this integral...
Transitivity of parametric family of cardinality-based fuzzy similarity measures using Lukasiewicz t-norm
In fuzzy logic, where members of a set might be linguistic terms, the degree of reflexivity might be in unit interval [0,1] instead of {0,1}. This behaviour of a fuzzy set plays an important role especially in the field...
Algebraic structures in generalized Clifford analysis and applications to boundary value problems
The present article has a threefold purpose: First it is a survey of the algebraic structures of generalized Clifford-type algebras and shows the main results of the corresponding Clifford-type analysis and its applicati...
Redox reactions as experimental examples of ternary weak algebraic hyperstructures
A ternary hyperoperation on a set H is a 3-ary hyperoperation, which associates a subset of H with any three elements of H. In this paper, we give examples of ternary hyperoperations associated with redox reactions. We...
(Free) Software for general partial differential equation problems in non-rectangular 2D and 3D regions
PDE2D is a general-purpose partial differential equation solver which solves very general systems of nonlinear, steady-state, time-dependent and eigenvalue PDEs in 1D intervals, general 2D regions (see Figure 1), and a w...