Frequency domain analysis of acoustic wave propagation in heterogeneous media considering iterative coupling procedures between the method of fundamental solutions and Kansa's method

2011 ◽  
Vol 89 (7) ◽  
pp. 914-938 ◽  
Author(s):  
Delfim Soares ◽  
Luís Godinho ◽  
Andreia Pereira ◽  
Cleberson Dors
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Frequency Domain ◽  
Heterogeneous Media ◽  
Domain Analysis ◽  
Fundamental Solutions ◽  
Frequency Domain Analysis ◽  
Method Of Fundamental Solutions ◽  
Acoustic Wave Propagation ◽  
Iterative Coupling

scholarly journals Adaptive Analysis of Acoustic-Elastodynamic Interacting Models Considering Frequency Domain MFS-FEM Coupled Formulations

2019 ◽  
Vol 2019 ◽  
pp. 1-18
Author(s):  
D. Soares ◽  
L. Godinho
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Frequency Domain ◽  
Iterative Algorithms ◽  
Fundamental Solutions ◽  
Frequency Domain Analysis ◽  
Method Of Fundamental Solutions ◽  
The Finite Element Method ◽  
Iterative Coupling ◽  
Adaptive Coupling

This work discusses adaptive iterative coupling strategies for the frequency domain analysis of interacting acoustic-elastodynamic models. The method of fundamental solutions (MFS) is used to analyze acoustic fluids, whereas the finite element method (FEM) is employed to discretize elastodynamic solids. Flexible and optimized iterative MFS-FEM coupling procedures are considered, allowing independent discretizations to be adopted for each subdomain. In this context, it is easy to implement adaptive refinements and enable enhanced analyses. Two adaptive coupling approaches are discussed, based on multiple and single iterative algorithms. Numerical results are presented to illustrate the performance of the proposed techniques.

PREDICTION OF ACOUSTIC WAVE PROPAGATION IN A SHALLOW WATER CONFIGURATION USING THE METHOD OF FUNDAMENTAL SOLUTIONS

2012 ◽  
Vol 20 (04) ◽  
pp. 1250013 ◽  
Author(s):  
E. G. A. COSTA ◽  
L. GODINHO ◽  
A. PEREIRA ◽  
J. A. F. SANTIAGO
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Shallow Water ◽  
Free Water ◽  
Numerical Approach ◽  
Fundamental Solutions ◽  
Method Of Fundamental Solutions ◽  
Acoustic Wave Propagation ◽  
Water Region ◽  
Shallow Water Region

An efficient and accurate numerical frequency domain formulation is proposed to investigate the 2D acoustic wave propagation within a shallow water region with a rigid bottom and a free surface. The proposed configuration combines different regions that have either a sloping or a flat rigid bottom. The numerical approach used here is based on the method of fundamental solutions (MFS). In this model only the vertical interface between different regions is discretized, as the model incorporates Green's functions that take into account the free water surface and the presence of either a horizontal or sloping rigid bottom.

scholarly journals Identification of Acoustic Wave Propagation Pattern of a Supersonic Jet Using Frequency-Domain POD

2018 ◽  
Vol 61 (6) ◽  
pp. 281-284 ◽  
Author(s):  
Yuta OZAWA ◽  
Taku NONOMURA ◽  
Masayuki ANYOJI ◽  
Hiroya MAMORI ◽  
Naoya FUKUSHIMA ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Frequency Domain ◽  
Supersonic Jet ◽  
Acoustic Wave Propagation ◽  
Propagation Pattern

Residual-driven online multiscale methods for acoustic-wave propagation in 2D heterogeneous media

Geophysics ◽  
2017 ◽  
Vol 82 (2) ◽  
pp. T69-T77
Author(s):  
Eric T. Chung ◽  
Yalchin Efendiev ◽  
Richard L. Gibson ◽  
Wing Tat Leung
Keyword(s):  
Finite Element ◽  
Wave Propagation ◽  
Acoustic Wave ◽  
Heterogeneous Media ◽  
Computational Cost ◽  
Multiscale Methods ◽  
Basis Functions ◽  
Acoustic Wave Propagation ◽  
Fine Grid ◽  
Multiscale Finite Element

Common applications, such as geophysical exploration, reservoir characterization, and earthquake quantification, in modeling and inversion aim to apply numerical simulations of elastic- or acoustic-wave propagation to increasingly large and complex models, which can provide more realistic and useful results. However, the computational cost of these simulations increases rapidly, which makes them inapplicable to certain problems. We apply a newly developed multiscale finite-element algorithm, the generalized multiscale finite-element method (GMsFEM), to address this challenge in simulating acoustic-wave propagation in heterogeneous media. The wave equation is solved on a coarse grid using multiscale basis functions that are chosen from the most dominant modes among those computed by solving relevant local problems on a fine-grid representation of the model. These multiscale basis functions are computed once in an off-line stage prior to the simulation of wave propagation. Because these calculations are localized to individual coarse cells, one can improve the accuracy of multiscale methods by revising and updating these basis functions during the simulation. These updated bases are referred to as online basis functions. This is a significant extension of previous applications of similar online basis functions to time-independent problems. We tested our new algorithm and numerical results for acoustic-wave propagation using the acoustic Marmousi model. Long-term developments have a strong potential to enhance inversion algorithms because the basis functions need not be regenerated everywhere. In particular, recomputation of basis functions is required only at regions in which the model is updated. Thus, our method allows faster simulations for repeated calculations, which are needed for inversion purpose.

Multiscale modeling of acoustic wave propagation in 2D media

Geophysics ◽  
2014 ◽  
Vol 79 (2) ◽  
pp. T61-T75 ◽  
Author(s):  
Richard L. Gibson ◽  
Kai Gao ◽  
Eric Chung ◽  
Yalchin Efendiev
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Acoustic Wave ◽  
Heterogeneous Media ◽  
Coarse Grid ◽  
Basis Functions ◽  
Seismic Survey ◽  
Fine Scale ◽  
Acoustic Wave Propagation ◽  
Fine Grid

Conventional finite-difference methods produce accurate solutions to the acoustic and elastic wave equation for many applications, but they face significant challenges when material properties vary significantly over distances less than the grid size. This challenge is likely to occur in reservoir characterization studies, because important reservoir heterogeneity can be present on scales of several meters to ten meters. Here, we describe a new multiscale finite-element method for simulating acoustic wave propagation in heterogeneous media that addresses this problem by coupling fine- and coarse-scale grids. The wave equation is solved on a coarse grid, but it uses basis functions that are generated from the fine grid and allow the representation of the fine-scale variation of the wavefield on the coarser grid. Time stepping also takes place on the coarse grid, providing further speed gains. Another important property of the method is that the basis functions are only computed once, and time savings are even greater when simulations are repeated for many source locations. We first present validation results for simple test models to demonstrate and quantify potential sources of error. These tests show that the fine-scale solution can be accurately approximated when the coarse grid applies a discretization up to four times larger than the original fine model. We then apply the multiscale algorithm to simulate a complete 2D seismic survey for a model with strong, fine-scale scatterers and apply standard migration algorithms to the resulting synthetic seismograms. The results again show small errors. Comparisons to a model that is upscaled by averaging densities on the fine grid show that the multiscale results are more accurate.

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