3 edition of **hybrid method for the solution of seismic wave propagation problems =** found in the catalog.

hybrid method for the solution of seismic wave propagation problems =

Arie Pieter van den Berg

- 364 Want to read
- 4 Currently reading

Published
**1987**
by Instituut voor Aardwetenschappen der Rijksuniversiteit te Utrecht in [Utrecht]
.

Written in English

- Seismic waves -- Mathematical models.,
- Wave-motion, Theory of.,
- Wave equation -- Numerical solutions.

**Edition Notes**

Other titles | Hybride oplossingsmethode voor seismische golfvoortplantingsproblemen. |

Statement | Arie Pieter van den Berg. |

Series | Geologica Ultraiectina ;, no. 49 |

Classifications | |
---|---|

LC Classifications | QE1 .G1342 no. 49, QE538.5 .G1342 no. 49 |

The Physical Object | |

Pagination | 119 p. : |

Number of Pages | 119 |

ID Numbers | |

Open Library | OL2244948M |

ISBN 10 | 907157704X |

LC Control Number | 89118647 |

Solution via characteristic curves One method of solution is so simple that it is often overlooked. Consider the ﬁrst order linear equation in two variables, u t +cu x = 0, which is an example of a one-way wave equation. To solve this, we notice that along the line x − ct = constant k in the x,t plane, that any solution u(x,y) will be Cited by: 2. The seismoelectric method consists of measuring electromagnetic signals associated with the propagation of seismic waves or seismic sources in porous media. This method is useful in an increasing number of applications, for example to characterize aquifers, contaminant plumes or the vadose zone. This book provides the first full overview of the fundamental concepts of this method.

Seismic Wave Propagation and Scattering in the Heterogenous Earth, Second Edition Seismic Wave Propagation and Scattering in the Heterogenous Earth Selecting and Scaling Earthquake Ground Motions for Performing Response-History Analyses. Presenting a comprehensive introduction to the propagation of high-frequency, body-waves in elastodynamics. this volume develops the theory of seismic wave propagation in acoustic, elastic and anisotropic media to allow seismic waves to be modelled in Cited by:

Recent progress in numerical methods and computer science allows us today to simulate the propagation of seismic waves through realistically heterogeneous Earth models with unprecedented accuracy. Full waveform tomography is a tomographic technique that takes advantage of numerical solutions of the elastic wave equation. The accuracy of the numerical solutions and the . In the numerical solution of partial differential equations, a topic in mathematics, the spectral element method (SEM) is a formulation of the finite element method (FEM) that uses high degree piecewise polynomials as basis functions. The spectral element method was introduced in a paper by A. T. Patera. Although Patera is credited with development of the method, his work was a.

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A hybrid method for the solution of seismic wave propagation problems DSpace/Manakin Repository. A hybrid method for the solution of seismic wave propagation problems Author keywords: seismic waves, mathematical models, wave equation, numerical solutions, by: 5. Nodal Point Seismic Wave Propagation Boundary Integral Equation Method Wave Propagation Problem Finite Element Equation These keywords were added by machine and not by the authors.

This process is experimental and the keywords may be updated as the learning algorithm by: 3. We derive the formalism for the hybrid finite element / integral equation technique for the general case of elastic wave propagation problems in a three dimensional (3-D) general background medium, with an inclusion of finite : Arie P.

van den Berg. This hybrid method offers the opportunity for decomposing a complicated seismic problem into separate, simpler problems which may have efficient solution algorithms, thus making larger problems more tractable.

Finally, several of the newly developed techniques are used to perform simulations of wave propagation in subducting lithospheric slabs. A hybrid method for the solution of seismic wave propagation problems. Using the hybrid method for this type of problem we only have to discretize the localized anomaly and a truncation of the model will not be\ud necessary (assuming an anomaly of limited volume).

The effect of the background\ud medium and the wave field excitation are Author: A.P. van den Berg. Despite recent advances in High Performance Computing (HPC), numerical simulation of high frequency (e.g. 1 Hz or higher) seismic wave propagation at the global scale is still prohibitive.

To overcome this difficulty, we propose a hybrid method to efficiently compute teleseismic waveforms with 3-D source-side structures. By coupling the Spectral Element Method (SEM) with the Direct Solution.

The source radiation and propagation in the background model is solved by the discrete-wave number (DW) method, while the propagation in the local 2D structure is calculated by the FD method.

The coupling between the two sets of calculations is performed on a rectangular excitation box surrounding the local by: A two-dimensional hybrid method for modeling seismic wave propagation in anisotropic media Liang Zhao,1 Lianxing Wen,2 Ling Chen,1 and Tianyu Zheng1 Received 3 April ; revised 12 September ; accepted 9 October ; published 25 December [1] A hybrid method is developed for calculating synthetic seismograms for seismic waves.

waves propagating in two-dimensional localized heterogeneous anisotropic media. The hybrid method is a combination of analytic and numerical methods, with the.

numerical method (finite difference. propagation of seismic waves generated by earthquakes in the entire 3-D Earth. The method is implemented using MPI on a large PC cluster (Beowulf) with processors and 76 Gb of RAM.

It is based upon a weak formulation of the equations of motion and combines the ﬂexibility of a ﬁnite-element method with the accuracy of a pseudospectral. A hybrid method for the solution of seismic wave propagation problems = Een hybride oplossingsmethode voor seismische golfvoortplantingsproblemen.

Numerical methods of seismic wavefield modeling (finite-difference (FD), finite-element, etc.) are widely used in seismic data imaging and inversion. They can be used for computing wavefield propagation in complex subsurface structures but usually are computationally by: 3.

FINITE DIFFERENCE METHODS FOR SEISMIC WAVES 27 A. LOVE WAVES 1. Plane-Layered Models It is important to test the numerical method on problems for which independent answers are available.

Toward this end, several problems of Love wave propagation on one- Cited by: Introduction to the spectral element method for three-dimensional seismic wave propagation.

1 Department of Earth and Planetary Sciences, Harvard University, Cambridge, MAUSA. E-mail: [email protected] 1 Department of Earth and Planetary Sciences, Harvard University, Cambridge, MAby: The results of the hybrid method (red traces) match very well with those of the FK method (blue traces) in Figs 3(b) and (c), their difference.

being less than 1 percent of the amplitude of either. Goals of the course Understand methods that allow the calculation of seismic waveﬁelds in heterogeneous media Prepare you to be able to understand Earth science papers that are based on 3-D wave simulation tools (e.g., seismic exploration, full.

Knopoff, “ A matrix method for elastic wave problems,” Bull. Seismol. Soc. 54, – (). Google Scholar; 6. Schmidt and F.

Jensen, “ A full wave solution for propagation in multilayered viscoelastic media with application to Gaussian beam reflection at Cited by: s later in this book (Chapter 9).

In the absence of body forces, we have the homogeneous equation of motion ρ ∂2u i ∂t2 = ∂ jτ ij, () which governs seismic wave propagation outside of seismic source regions.

Gener-ating solutions to () or () for realistic Earth models is an important part ofFile Size: KB. D.G. Honegger, D. Wijewickreme, in Handbook of Seismic Risk Analysis and Management of Civil Infrastructure Systems, Wave propagation. Seismic wave propagation is a ground motion phenomenon that relates to the passage of body waves, including compression waves and shear waves, radially from the source of earthquake energy release (hypocenter) into the surrounding rock and soil.

The discontinuous Galerkin Finite Element Method (DGM) is a promising approach for modeling wave propagation in fractured media.

It allows for discontinuities in the displacement field to simulate fractures or faults in a model. The approach is baseAuthor: Janaki Vamaraju, Mrinal K. Sen, Jonas De Basabe, Mary F. Wheeler. seismic wave propagation in acoustic, elastic and anisotropic media is developed to al-low seismic waves to be modelled in complex, realistic three-dimensional Earth mod-els.

This book provides a consistent and thorough development of modelling methods widely used in elastic wave propagation ranging from the whole Earth, through re.A hybrid method for wave propagation simulation in near-surface regions Ru-Shan Wu* and Li-Yun Fu, Institute of Tectonics, University of California at Santa Cruz Summary To study the effects of both free-surface topography and vol-ume heterogeneities on seismic data, we develop a hybrid method which couples the boundary element (BE) method to.Geophysical texts often provide problems, but this book is unique in that it provides solutions also.

The authors include a summary of the basic theory required to solve each problem. The problems cover a wide range, including least-squares methods, choosing velocities for various situations, z-transforms, determining 2D and 3D field.