A CRITERION FOR THE HORIZONTAL HOMOGENEITY OF A MEDIUM IN THE INVERSE KINEMATIC PROBLEM OF SEISMICS

Yu. E. Anikonov; S.  B. Gorshkalev; S. V. Maltseva; Yu. S. Volkov; E. Yu. Derevtsov

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A CRITERION FOR THE HORIZONTAL HOMOGENEITY OF A MEDIUM IN THE INVERSE KINEMATIC PROBLEM OF SEISMICS

机译：地震反运动学问题中介质水平均匀性的判据

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We propose an approach to quantitative evaluation of the structure of velocity level systems within the framework of the inverse kinematic problem of seismics. We present constructive methods for studying multidimensional inverse kinematic problems of seismics and describe local and integral criteria for the horizontal homogeneity of a medium,. The criteria are illustrated by numerical experiments. Bibliography: 19 titles. Illustrations: 2 figures.

机译：我们提出了一种在地震反运动学问题的框架内定量评估速度水平系统结构的方法。我们提出了研究地震的多维逆运动学问题的建设性方法，并描述了介质水平均匀性的局部和整体标准。通过数值实验说明了该标准。参考书目：19种。插图：2个数字。

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《Journal of Mathematical Sciences》 |2013年第6期|741-753|共13页
作者
Yu. E. Anikonov; S. B. Gorshkalev; S. V. Maltseva; Yu. S. Volkov; E. Yu. Derevtsov;
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Sobolev Institute of Mathematics SB RAS 4, pr. Akad. Koptyuga and Novosibirsk State University 2, ul. Pirogova, Novosibirsk 630090, Russia;

Trofimuk Institute of Petroleum Geology and Geophysics SB RAS 3, pr. Akad. Koptyuga and Novosibirsk State University 2, ul. Pirogova, Novosibirsk 630090, Russia;

Novosibirsk State University 2, ul. Pirogova, Novosibirsk 630090, Russia;

Sobolev Institute of Mathematics SB RAS 4, pr. Akad. Koptyuga and Novosibirsk State University 2, ul. Pirogova, Novosibirsk 630090, Russia;

Sobolev Institute of Mathematics SB RAS 4, pr. Akad. Koptyuga Novosibirsk 630090, Russia;

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1. Determining the Kernel of the Viscoelasticity Equation in a Medium with Slightly Horizontal Homogeneity [J] . Totieva Zh. D. Siberian Mathematical Journal . 2020,第2期

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2. Novel inverse kinematic approaches for robot manipulators with Pieper-Criterion based geometry [J] . Liu Huashan, Zhang Yang, Zhu Shiqiang International Journal of Control, Automation, and Systems . 2015,第5期

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3. Application of Spectral Methods to Inverse Dynamic Problem of Seismicity of a Stratified Medium [J] . A. A. Sedipkov Journal of applied and industrial mathematics . 2018,第4期

机译：光谱方法在分层介质地震性逆动力问题中的应用
4. Kinematic Inverse Problem for Transversely Isotropic Medium [C] . D.V. Alexandrov, B.M. Kashtan Society of Petroleum Engineers/European Association of Geoscientists and Engineers Conference and Exhibition . 2011

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5. 1. The Human Arm Redundancy - A New Approach for the Inverse Kinematic Problem 2. Kinematics of Locomotion with Emotion. [D] . Barliya, Avi. 2010

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6. The Influence of Kinematic Constraints on Model Performance During Inverse Kinematics Analysis of the Thoracolumbar Spine [O] . Mohammad Mehdi Alemi, Katelyn A. Burkhart, Andrew C. Lynch, 2021

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7. Proton resonance elastic scattering in inverse kinematics on the medium heavy nucleus 68Zn [O] . N. Imai, Y. Hirayama, H. Ishiyama, 2010

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8. A Method of Solution of the Inverse Problem of Seismic Surveying in the Case of a Tilted Layered Medium [R] . Kefeli, A. S. 1970

机译：一种倾斜分层介质中地震测量反问题的一种解法

A CRITERION FOR THE HORIZONTAL HOMOGENEITY OF A MEDIUM IN THE INVERSE KINEMATIC PROBLEM OF SEISMICS

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