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Generation method of three-dimensional local average random field samples of geotechnical parameters

A technique of local average and random field, applied in electrical digital data processing, special data processing applications, instruments, etc., to achieve the effects of accurate calculation, strong versatility, and easy programming

Inactive Publication Date: 2016-06-22
CHINA UNIV OF MINING & TECH
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Problems solved by technology

[0005] Technical problem: the purpose of this invention is to provide a kind of generation method of rock and soil parameter three-dimensional local average random field sample which is reliable in calculation, high in precision and beneficial to engineering designers to use, so as to solve the problem that the existing random field local average method cannot be compatible with the four-sided Problems of Effective Combination of Volume Finite Element Method

Method used

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  • Generation method of three-dimensional local average random field samples of geotechnical parameters
  • Generation method of three-dimensional local average random field samples of geotechnical parameters
  • Generation method of three-dimensional local average random field samples of geotechnical parameters

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Embodiment 1

[0057] Embodiment 1, the spatial shape of a certain geotechnical structure is a straight quadrangular prism, such as figure 2 As shown, the side CDJI is a trapezoid with an upper base of 3m, a lower base of 5m, and a height of 4m. The height of the prism is 8m. Find 12 groups of local mean random field samples of cohesion.

[0058] image 3 is the discrete situation of the tetrahedral unit of the parameter random field, and B, E, K, and H are all midpoints. Table 2 shows the relative relationship between the unit number and the node number. Table 3 shows the local cohesion of 12 groups calculated by the present invention. Average random field sample value.

[0059] Table 2

[0060]

[0061]

[0062] table 3

[0063]

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Abstract

The present invention discloses a generation method of three-dimensional local average random field samples of geotechnical parameters. The generation method comprises the steps: (1) regarding geotechnical parameters as a three-dimensional continuous and stationary random field, and performing random field mesh discretization and unit numbering; (2) determining a local average random field covariance; (3) determining a lower triangular matrix L according to an assembled overall random field covariance matrix; (4) constructing a random vector beta; (5) determining a random vector alpha; (6) generating a set of local average random field samples; and (7) generating multiple sets of local average random field samples. In this method, a tetrahedral random field mesh and a tetrahedral finite element mesh may be the same mesh; the obtained local average random field samples can be directly applied to random finite element calculation; the correspondence of unit numbers is clear; the calculation is accurate; programming is easy; the universality is high; and the method can be widely applied to discretization analysis of the random finite element parameter random field.

Description

technical field [0001] The invention relates to a method for generating local average random field samples, in particular to a method for generating three-dimensional local average random field samples for geotechnical parameters. Background technique [0002] The rock and soil mass is formed by long-term weathering, transportation, abrasion, and deposition, and has gone through a long geological age. The complexity and uncertainty of its origin make the rock and soil parameters have spatial variability and correlation characteristics. The random field model of geotechnical parameters proposed by Vanmarcke is essentially to use homogeneous normal random field to simulate soil profile parameters, use autocorrelation function to describe the autocorrelation of geotechnical materials, and establish the point characteristic transition obtained from test data The variance calculation method based on the spatial average characteristics can effectively reflect the spatial variabili...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 王涛周国庆王建州赵晓东赖泽金季雨坤陈鑫梁亚武
Owner CHINA UNIV OF MINING & TECH
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