An acoustic wave equation with the gradients of velocity and density

Jianyong Bai, Orhan Yilmaz

International Meeting for Applied Geoscience and Energy (IMAGE)

...An acoustic wave equation with the gradients of velocity and density Jianyong Bai, Orhan Yilmaz An acoustic wave equation with the gradients...

Unit-constrained data-driven discovery of a wave equation

Shijun Cheng, Tariq Alkhalifah

International Meeting for Applied Geoscience and Energy (IMAGE)

.... Therefore, we consider the general form of the wave equation as uT = f Θ(u); [ξi ]i=1,···,n (1) with Θ(u) = u, ux , uy , uz , uxx , uyy , uzz...

Inverse scattering theory: Time-dependent perturbation theory for wave scattering in time varying media

Xingguo Huang, Ru-Shan Wu, Pan Zhang, Wenrui Ye, Morten Jakobsen

International Meeting for Applied Geoscience and Energy (IMAGE)

... equation, electromagnetic, acoustic inverse scato tering theory. Numerical solutions in which time-perturbation wave equations are discretized in time...

Seismic Modeling and Imaging - Making Waves, by Phillip Bording and Larry Lines, #40066

Search and Discovery.com

Phase-Ray Maslov Summation: A Complete Finite-Frequency Ray Method

Tianfei Zhu

Search and Discovery.com

..., however, exact solutions to the eikonal equation 9 are in general unattainable. Zhu (1988) has shown that equation 9 can be solved by asymptotic expansion...

Phase-Ray Maslov Summation: A Complete Finite-Frequency Ray Method

Tianfei Zhu

Search and Discovery.com

..., however, exact solutions to the eikonal equation 9 are in general unattainable. Zhu (1988) has shown that equation 9 can be solved by asymptotic expansion...

New numerical schemes for time-domain seismic wave modeling in viscoelastic media

Bing Zhou, Moosoo Won, Chao Jin

International Meeting for Applied Geoscience and Energy (IMAGE)

...r the 1st-order or 2nd-order wave equation, e.g. basing on equations (5), (6), (8), (9) and (10), one obtains the two versions of wave equatio...

Modelling pure qP-wave in attenuative VTI media using fractional viscoacoustic wave equation

Shanshan Zhang, Kun Tian, Ning Qin, Yanguang Wang, Changbo Wang

International Meeting for Applied Geoscience and Energy (IMAGE)

... and waveform inversion in exploration seismology. Under acoustic approximation, this paper derives a new general fractional Laplacian pure qP-wave equation...

Finite Difference Modelling: Part III: Time-Step n-Tupling

Lasse Amundsen, Ørjan Pedersen, Martin Landrø

GEO ExPro Magazine

... (see Amundsen and Pedersen (2017) for the general formula). Numerical Example We solve the 2-D acoustic wave equation by using the π 3 4/1 –4/3...

Finite Difference Modeling: Part I: Become Expert in Five Minutes

Lasse Amundsen, Ørjan Pedersen, Martin Landrø

GEO ExPro Magazine

.... It turns out that solving the wave equation, as most other differential equations, can be quite hard, and there is no general method that solves every...

Abstract: Complex-beam Migration: Non-recursive and Recursive Implementations; #90187 (2014)

Tianfei Zhu

Search and Discovery.com

... and WEM is of the same-order approximation as the ray and beam methods to the elastic wave equation in general inhomogeneous earth media (e.g., Ben...

Abstract: Calculation of Amplitude and Velocity in General Anisotropic Media; #90224 (2015)

M. Malehmir and D. R. Schmitt

Search and Discovery.com

... propagation, lets start with general wave equation 1 and plane wave equation 2. 1 ∂ ρ ui = ci jkl ¨ 2 ∂xj ∂ uk ∂ ul + ∂ xl ∂ xk uk = A0 Pk e(−iK(n.r...

Extended Abstract: What is Wave Equation Pre-stack Depth Migration? An Overview

Andrew Long

Petroleum Exploration Society of Australia (PESA)

... daring to investigate the various options for pursuing wave equation depth migration will be exposed to terms such as explicit solutions, implicit...

Abstract: Evaluation of the Potential of Wave Equation Depth Imaging Technologies on Land, by Morgan P.Brown and Joseph H. Higginbotham; #90076 (2008)

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Recent Developments in Marine Acquisition and Data Processing Technology to Improve Imaging through Complex Overburdens

Timothy Bunting, Jerry Kapoor, Nick Moldoveanu, Jeremy Browett

GCAGS Transactions

... in imaging the subsalt reflectors in the SEG Seam model. Imaging Solutions All imaging algorithms solve for the wave equation, but due to computer...

TTI Wave Equation Migration by Phase-Shift Plus Interpolation

Richard A. Bale

Search and Discovery.com

...TTI Wave Equation Migration by Phase-Shift Plus Interpolation Richard A. Bale TTI Wave Equation Migration by Phase-Shift Plus Interpolation Richard...

TTI Wave Equation Migration by Phase-Shift Plus Interpolation

Richard A. Bale

Search and Discovery.com

...TTI Wave Equation Migration by Phase-Shift Plus Interpolation Richard A. Bale TTI Wave Equation Migration by Phase-Shift Plus Interpolation Richard...

Full-waveform inversion using velocity-encoded physics-informed neural networks

Mohammad Taufik, Xinquan Huang, Tariq Alkhalifah

International Meeting for Applied Geoscience and Energy (IMAGE)

... imaging to velocity model building. Although various wave equation solvers have been developed over the years, they suffer from general inefficiency...

Abstract: Regular Grids Travel Time Calculation … Fast Marching with an Adaptive Stencils Approach; #90187 (2014)

Zhengsheng Yao, Mike Galbraith, and Randy Kolesar

Search and Discovery.com

... itself is a linear approximation and the wavefront is, in general, not a plane wave, especially near the source, a high order scheme in such a case...

Wave equation traveltime Kirchhoff with real data applications

Hu Jin, Vladimir Bashkardin, Petr Jilek, Chandan Kumar, Han Liu, John Etgen, Madhav Vyas, Ganyuan Xia

International Meeting for Applied Geoscience and Energy (IMAGE)

... improves the traveltime calculation by propagating lowfrequency wavefields using finite-difference solutions of the wave equation (Jin and Etgen, 2020...

Exact kinematic behavior of the P-SV converted wave in a vertical transversely isotropic medium

Guillaume Cambois

International Meeting for Applied Geoscience and Energy (IMAGE)

..., but not a solution to Equation 19 (unless both terms are 0, which only occurs when Equations 14 or 15 hold). Therefore, the general solution to Equation 19 can only...

Viscoelastic anisotropic seismic wave modeling using recursive convolution method and curvilinear collocated finite difference method for different boundaries

Chao Jin, Bing Zhou

International Meeting for Applied Geoscience and Energy (IMAGE)

..., UAE Summary We proposed a generalized viscoelastic anisotropic wave equation based on the General Maxwell Body, which can accommodate various medium...

Abstract: Multi-Scale 2D Acoustic Full Waveform Inversion with High Frequency Impulsive Source; #90187 (2014)

Vladimir N. Zubov, Michael P. Lamoureux, and Gary F. Margrave

Search and Discovery.com

... and adjoint problem solutions A forward wave propagation boundary problem (equation 1) is formulated for the acoustic equation using a positive...

A Practical Review of Migration Issues and Solutions; #40723 (2011)

Ian F. Jones

Search and Discovery.com

..., both of which are numerical solutions to the wave equation. These two categories are the integral methods (including Kirchhoff and beam techniques...

Damped least squares-based deterministic PP wave and SH-SH wave joint inversion method

Ying Lin, Guangzhi Zhang, Baoli Wang, Siyuan Chen, Minmin Huang

International Meeting for Applied Geoscience and Energy (IMAGE)

... coefficients in the multi-wave case is analyzed based on the approximation equation of PP wave and SH-SH wave, and the incidence angle range of the joint...