检索结果-南通市图书馆

Helmholtz decomposition with a scalar Poisson equation in elastic anisotropic media

Petroleum Science 2024年第3期21卷 1597-1610页

作者： Xin-Yu Fang Gang Yao Qing-Qing Zheng Ping-Min Zhang Di Wu Feng-Lin Niu State Key Laboratory of Petroleum Resources and Engineering China University of Petroleum (Beijing) Unconventional Petroleum Research Institute China University of Petroleum (Beijing) Department of Mathematics College of Science China University of Petroleum (Beijing) College of Geophysics China University of Petroleum (Beijing) Department of Earth Environmental and Planetary Sciences Rice University

P-and S-wave separation plays an important role in elastic reverse-time migration. It can reduce the artifacts caused by crosstalk between different modes and improve image quality. In addition, P-and Swave separation can also be used to better understand and distinguish wave types in complex media. At present, the methods for separating wave modes in anisotropic media mainly include spatial nonstationary filtering, low-rank approximation, and vector Poisson equation. Most of these methods require multiple Fourier transforms or the calculation of large matrices, which require high computational costs for problems with large scale. In this paper, an efficient method is proposed to separate the wave mode for anisotropic media by using a scalar anisotropic Poisson operator in the spatial *** 2D problems, the computational complexity required by this method is 1/2 of the methods based on solving a vector Poisson equation. Therefore, compared with existing methods based on pseudoHelmholtz decomposition operators, this method can significantly reduce the computational cost. Numerical examples also show that the P and S waves decomposed by this method not only have the correct amplitude and phase relative to the input wavefield but also can reduce the computational complexity significantly.

关键词： anisotropic media Scalar anisotropic Poisson equation Improved elastic wavefield decomposition

来源：

同方期刊数据库评论

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Finite element equations and numerical simulation of elastic wave propagation in two-phase anisotropic media

引用

Acta Seismologica Sinica(English Edition) 2003年第2期16卷 166-174页

作者：刘洋魏修成 CNPCGeophysicalKeyLab UniversityofPetroleum

Based on Biot theory of two-phase anisotropic media and Hamilton theory about dynamic problem,finite element equations of elastic wave propagation in two-phase anisotropic media are derived in this *** solution of fin... 详细信息

关键词： two-phase anisotropic media elastic wave propagation finite element equations numerical simulation

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

A staggered-grid high-order finite-difference modeling for elastic wave field in arbitrary tilt anisotropic media

引用

Acta Seismologica Sinica(English Edition) 2005年第4期18卷 471-482,500页

作者：裴正林王尚旭 University of Petroleum Key Lab of Geophysical Exploration of CNPC Beijing 100083 China

The paper presents a staggered-grid any even-order accurate finite-difference scheme for two-dimensional (2D), three-component (3C), first-order stress-velocity elastic wave equation and its stability condition in the arbitrary tilt anisotropic media; and derives a perfectly matched absorbing layer (PML) boundary condition and its stag- gered-grid any even-order accurate difference scheme in the 2D arbitrary tilt anisotropic media. The results of nu- merical modeling indicate that the modeling precision is high, the calculation efficiency is satisfactory and the absorbing boundary condition is better. The wave-front shapes of elastic waves are complex in the anisotropic media, and the velocity of qP wave is not always faster than that of qS wave. The wave-front triplication of qS wave and its events in both reflected domain and propagated domain, which are not commonly hyperbola, is a common phenomenon. When the symmetry axis is tilted in the TI media, the phenomenon of S-wave splitting is clearly observed in the snaps of three components and synthetic seismograms, and the events of all kinds of waves are asymmetric.

关键词： anisotropic media elastic wave staggered-grid high-order finite-difference PML boundary

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

An eigen theory of static electromagnetic field for anisotropic media

引用

Applied Mathematics and Mechanics(English Edition) 2009年第5期30卷 643-652页

作者：郭少华 School of Civil Engineering and Architecture Zhejiang University of Science and Technology School of Civil Engineering and Architecture Central South University

Static electromagnetic fields are studied based on standard spaces of the physical presentation, and the modal equations of static electromagnetic fields for anisotropic media are derived. By introducing a new set of first-order potential functions, several novel theoretical results are obtained. It is found that, for isotropic media, electric or magnetic potentials are scalar; while for anisotropic media, they are vectors. Magnitude and direction of the vector potentials are related to the anisotropic subspaces. Based on these results, we discuss the laws of static electromagnetic fields for anisotropic media.

关键词： anisotropic media static electromagnetic field standard spaces modal equation

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

THE　INTERACTION　OF　PLANE　SH－WAVES　AND　NON－CIRCULAR　CAVITY　SURFACED　WITH　LINING　IN　anisotropic　media

引用

Applied Mathematics and Mechanics(English Edition) 1996年第9期17卷 855-867页

作者：史守峡韩峰王振清刘殿魁 Dept. of Aerospace Engineering Harbin Engineering University Harbin P. R. China

This is an expand of the complex function method in solving the problem of interaction of ***-waves and non-circular cavity surfaced with linig in anisotropic *** use the method similar to that incorporated in [2] added with Savin's method for solving stress concentration of non-circular cavity surfaced with lining in *** media can be used ic simulate the conditions of *** solving proceeding for this problem can be processed conveniently in the manner similar to that introduced in [2].In this *** illustrated in example numerical studies have been done for a square cavity surfaced with lining in anisotropic media.

关键词： SH-waves anisotropic media non-circular cavity surfaced with lining

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear anisotropic media

引用

Communications in Computational Physics 2019年第6期26卷 233-264页

作者： Ji Lin Sergiy Reutskiy C.S.Chen Jun Lu State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering International Center for Simulation Software in Engineering and SciencesCollege of Mechanics and MaterialsHohai UniversityNanjing 211100China State Institution"Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine" Industrialnaya St.1961106KharkovUkraine Department of Mathematics University of Southern MississippiHattiesburgMS 39406USA Nanjing Hydraulic Research Institute Nanjing 210029China State Key Laboratory of Hydrology Water Resources and Hydraulic Engineering Nanjing 210098China

This paper presents a new numerical technique for solving initial and bound-ary value problems with unsteady strongly nonlinear advection diffusion reaction(ADR)*** method is based on the use of the radial basis functions(RBF)for the approximation space of the *** Crank-Nicolson scheme is used for approximation in *** results in a sequence of stationary nonlinear ADR *** equations are solved sequentially at each time step using the proposed semi-analytical technique based on the *** approximate solution is sought in the form of the analytical expansion over basis functions and contains free *** basis functions are constructed in such a way that the expansion satisfies the boundary conditions of the problem for any choice of the free *** free parameters are determined by substitution of the expansion in the equation and collocation in the solution *** the case of a nonlinear equation,we use the well-known procedure of *** transforms the original equation into a sequence of the linear ones on each time *** numerical examples confirm the high accuracy and robustness of the proposed numerical scheme.

关键词： Advection diffusion reaction time-dependent fully nonlinear anisotropic media Crank-Nicolson scheme meshless method

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Stability Conditions for Wave Simulation in 3-D anisotropic media with the Pseudospectral Method

引用

Communications in Computational Physics 2012年第8期12卷 703-720页

作者： Wensheng Zhang LSEC Institute of Computational Mathematics and Scientific/Engineering ComputingAcademy of Mathematics and Systems ScienceChinese Academy of SciencesP.O.Box Beijing 2719P.R.China

Simulation of elastic wave propagation has important applications in many areas such as inverse problemand geophysical *** this paper,stability conditions for wave simulation in 3-D anisotropic media with the pseudospectral method are *** can be expressed explicitly by elasticity constants which are easy to be applied in *** 3-Dwave simulation for two typical anisotropic media,transversely isotropic media and orthorhombic media,are carried *** results demonstrate some satisfactory behaviors of the pseudospectral method.

关键词： Wave simulation stability conditions 3-D anisotropic media pseudospectral method

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Propagation of Elastic Plane Waves in Homogeneous anisotropic media

引用

Journal of Shanghai University(English Edition) 2004年第2期8卷 164-168页

作者：张海燕刘镇清 School of Communication and Information Engineering Institute of Acoustics

Combining the linear transformation and the solution technique for the cubic equation, a general closed-form analytic solution for bulk waves in orthotropic anisotropic materials is obtained. This method is straightforward and general. Degenerated cases include transversely isotropic, cubic, and isotropic materials. Numerical computations are carried out on a fiber-reinforced composite plate modeled as a transversely isotropic media. The fibers are parallel to the top and bottom surfaces of the plate, and they are rotated counterclockwise around the plate normal through different angles. The two-dimensional slowness curves corresponding to different rotations are presented graphically. The wave propagation characteristics displayed in slowness surfaces for different fiber orientation are analyzed. Key words composite material - anisotropic media - wave propagation - slowness PASC 2001 0343.8 - 042 Project supported by the Science Foundation of Shanghai Municipal Commission of Education (Grant No. 03AK48)

关键词： composite material anisotropic media wave propagation slowness

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Stability of elliptic vortex solitons in anisotropic nonlocal media

引用

Chinese Optics Letters 2014年第12期12卷 109-113页

作者：葛丽娟申明臧涛成戴璐 School of Mathematics and Physics Suzhou University of Science and Technology Department of Physics Shanghai University

Elliptic vortex solitons are investigated in anisotropic nonlocal media with more general formulations. We ad- dress the existence and dynamics of such solitons analytically and numerically. The solution of elliptic vortex solitons depends on the eccentricity of both the input beam and nonlocal response function. With different degrees of nonlocality, we numerically investigate the evolution of the elliptic vortex solitons, and find that, typically, the elliptic vortex solitons with single and double charges collapse into spiraling dipole- and tripole- like soliton clusters, respectively.

关键词： anisotropic media Anisotropy Nonlinear optics Vortex flow

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Theoretical and Experimental Study of Time Reversal in Cubic Crystals

引用

Chinese Physics Letters 2004年第9期21卷 1766-1769页

作者：陆铭慧张碧星汪承灏 InstituteofAcoustics ChineseAcademyofSciencesBeijing100080

The self-adaptive focusing of the time reversal in anisotropic media is studied theoretically and experimentally. It is conducted for the compressional wave field in the cubic crystal silicon. The experimental result is in agreement with our theoretical analysis. The focusing gain and the displacement distributions of the time reversal field are analysed in detail. It is shown that the waves from different elements of the transducer array arrive at the original place of the source simultaneously after the time reversal operation. The waveform distortions caused by the velocity anisotropy can automatically be compensated for after the time reversal processing.

关键词： anisotropic media

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：