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An analytical algorithm for the dispersion curves of Rayleigh wave fundamental modes in a regular layered semi-infinite body is presented

A semi-infinite body and analytical algorithm technology, applied in calculation, special data processing applications, instruments, etc., to achieve the effect of simple calculation process, guaranteed calculation accuracy and fast calculation speed

Active Publication Date: 2018-12-28
WUHAN INSTITUTE OF TECHNOLOGY
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Problems solved by technology

This method only considers the impact of energy concentration depth inner layer structure and layer shear wave velocity on phase velocity calculation

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  • An analytical algorithm for the dispersion curves of Rayleigh wave fundamental modes in a regular layered semi-infinite body is presented
  • An analytical algorithm for the dispersion curves of Rayleigh wave fundamental modes in a regular layered semi-infinite body is presented
  • An analytical algorithm for the dispersion curves of Rayleigh wave fundamental modes in a regular layered semi-infinite body is presented

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[0050] The principles and features of the present invention are described below in conjunction with the accompanying drawings, and the examples given are only used to explain the present invention, and are not intended to limit the scope of the present invention.

[0051] The present invention will be described below in conjunction with the accompanying drawings.

[0052] Such as figure 1 As shown, the embodiment of the present invention provides an analytical algorithm for the Rayleigh wave fundamental modal dispersion curve in a regular layered semi-infinite body. The regular layered semi-infinite body includes a uniform bottom layer whose depth tends to infinity, that is, a uniform The bottom semi-infinite body, and at least one uniform layer covering the bottom layer, the shear wave velocity of each layer in the regular layered semi-infinite body increases with the depth of the layer, that is, c s,1 s,2 ...s,N-1 s,N , where, c s,1 ,c s,2 ... c s,N-1 Respectively repres...

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Abstract

The invention relates to an analytical algorithm of Rayleigh wave base order modal dispersion curve in a regular layered semi-infinite body, a regular layered semi-infinite body consists of a uniformbottom layer with an infinite depth of the lower layer, and at least one uniform layer covering the bottom layer, wherein the shear wave velocities of each layer increase with the depth of the layer.The analytical algorithm comprises the following steps: 1, calculating the vertical displacement mode function of Rayleigh waves in the uniform semi-infinite body from the surface Poisson's ratio of the regular layered semi-infinite body; 2, calculating the relative energy of the fundamental mode Rayleigh wave in each layer of the regular layere semi-infinite body according to the displacement vibration mode function, and correcting the relative energy in each layer by utilize the material mechanical parameter difference of the relative surface layer of each layer; 3, taking the relative energy in each layer as a weight function, calculating an average value of the weight function weighted with the shear wave velocity or the Rayleigh wave velocity of each layer and the total relative energy, and obtaining an analytical expression of the phase velocity of the Rayleigh wave base order mode in a regular layered semi-infinite body.

Description

technical field [0001] The present invention can be used for the calculation of Rayleigh wave fundamental-order modal dispersion curves in regular layered semi-infinite rock-soil media in which layer shear wave velocity increases with layer depth, and this method can be widely used in geotechnical engineering or engineering geophysics Analysis of Rayleigh wave dispersion data from surface wave tests. Background technique [0002] The rock-soil media formed by alluvial in different ages are distributed in layers. Under the action of self-weight and confining pressure, the layer shear wave velocity increases with the depth of the layer. For this regular layered rock-soil media, the particle vibration of the surface wave field is generally composed of the fundamental mode State Rayleigh wave dominant. Excited on the surface of the rock-soil medium, through multi-channel surface wave testing, the fundamental modal dispersion curve can be extracted. The fundamental modal dispers...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 柴华友
Owner WUHAN INSTITUTE OF TECHNOLOGY
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