Gulf of Suez acquisition design using 2D and 3D full wave equation simulation

2003 ◽  
Author(s):  
Dana Jurick ◽  
Jeff Codd ◽  
Fatmir Hoxha ◽  
Julia Naumenko ◽  
David Kessler
Keyword(s):  
Wave Equation ◽  
Gulf Of Suez ◽  
Full Wave ◽  
2D And 3D

scholarly journals Depth-Extrapolation-Based True-Amplitude Full-Wave-Equation Migration from Topography

2021 ◽  
Vol 11 (7) ◽  
pp. 3010
Author(s):  
Hao Liu ◽  
Xuewei Liu
Keyword(s):  
Wave Equation ◽  
Partial Derivative ◽  
Model Experiment ◽  
Surface Velocity ◽  
Seismic Exploration ◽  
Initial Condition ◽  
Reverse Time ◽  
Reverse Time Migration ◽  
Full Wave ◽  
Time Migration

The lack of an initial condition is one of the major challenges in full-wave-equation depth extrapolation. This initial condition is the vertical partial derivative of the surface wavefield and cannot be provided by the conventional seismic acquisition system. The traditional solution is to use the wavefield value of the surface to calculate the vertical partial derivative by assuming that the surface velocity is constant. However, for seismic exploration on land, the surface velocity is often not uniform. To solve this problem, we propose a new method for calculating the vertical partial derivative from the surface wavefield without making any assumptions about the surface conditions. Based on the calculated derivative, we implemented a depth-extrapolation-based full-wave-equation migration from topography using the direct downward continuation. We tested the imaging performance of our proposed method with several experiments. The results of the Marmousi model experiment show that our proposed method is superior to the conventional reverse time migration (RTM) algorithm in terms of imaging accuracy and amplitude-preserving performance at medium and deep depths. In the Canadian Foothills model experiment, we proved that our method can still accurately image complex structures and maintain amplitude under topographic scenario.

Randomized HSS acceleration for full-wave-equation depth stepping migration

2014 ◽  
Author(s):  
Lina Miao* ◽  
Polina Zheglova ◽  
Felix J. Herrmann
Keyword(s):  
Wave Equation ◽  
Full Wave

scholarly journals Numerical treatment of the spatio-temporal electromagnetic beam-wave packet

2017 ◽  
Vol 68 (2) ◽  
pp. 109-116
Author(s):  
L’ubomír Šumichrast ◽  
Jaroslav Franek
Keyword(s):  
Numerical Simulation ◽  
Wave Equation ◽  
Wave Packet ◽  
Paraxial Approximation ◽  
Two Dimensional ◽  
Numerical Treatment ◽  
Beam Wave ◽  
Electromagnetic Beam ◽  
Full Wave ◽  
Spatio Temporal

Abstract Propagation of a two-dimensional spatio-temporal electromagnetic beam wave is analysed. In parabolic (paraxial) approximation the exact analytical results for a spatio-temporal Gaussian impulse can be obtained. For solution of the full wave equation the numerical simulation has to be used. The various facets of this simulation are discussed here.

scholarly journals Approximate Cloaking for the Full Wave Equation via Change of Variables

2012 ◽  
Vol 44 (3) ◽  
pp. 1894-1924 ◽  
Author(s):  
Hoai-Minh Nguyen ◽  
Michael S. Vogelius
Keyword(s):  
Wave Equation ◽  
Change Of Variables ◽  
Full Wave

Optimal Third-Order Symplectic Integration Modeling of Seismic Acoustic Wave Propagation

2020 ◽  
Vol 110 (2) ◽  
pp. 754-762 ◽  
Author(s):  
Chuan Li ◽  
Jianxin Liu ◽  
Bo Chen ◽  
Ya Sun
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Acoustic Wave ◽  
Seismic Wave ◽  
Truncation Error ◽  
Seismic Wave Propagation ◽  
Symplectic Integrator ◽  
Third Order ◽  
The Third ◽  
2D And 3D

ABSTRACT Seismic wavefield modeling based on the wave equation is widely used in understanding and predicting the dynamic and kinematic characteristics of seismic wave propagation through media. This article presents an optimal numerical solution for the seismic acoustic wave equation in a Hamiltonian system based on the third-order symplectic integrator method. The least absolute truncation error analysis method is used to determine the optimal coefficients. The analysis of the third-order symplectic integrator shows that the proposed scheme exhibits high stability and minimal truncation error. To illustrate the accuracy of the algorithm, we compare the numerical solutions generated by the proposed method with the theoretical analysis solution for 2D and 3D seismic wave propagation tests. The results show that the proposed method reduced the phase error to the eighth-order magnitude accuracy relative to the exact solution. These simulations also demonstrated that the proposed third-order symplectic method can minimize numerical dispersion and preserve the waveforms during the simulation. In addition, comparing different central frequencies of the source and grid spaces (90, 60, and 20 m) for simulation of seismic wave propagation in 2D and 3D models using symplectic and nearly analytic discretization methods, we deduce that the suitable grid spaces are roughly equivalent to between one-fourth and one-fifth of the wavelength, which can provide a good compromise between accuracy and computational cost.

Numerical Solution of Full-Wave Equation With Mode Coupling

Radio Science ◽  
1966 ◽  
Vol 1 (8) ◽  
pp. 957-970 ◽  
Author(s):  
Yuji Inoue ◽  
Samuel Horowitz
Keyword(s):  
Wave Equation ◽  
Numerical Solution ◽  
Mode Coupling ◽  
Full Wave
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