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Optimization algorithm for solving seepage free surface based on radial base point interpolation method

An interpolation method and seepage technology, applied in the field of geotechnical engineering, can solve problems such as immature theory, and achieve the effect of simplifying the work process, high precision, and ensuring the integration accuracy.

Active Publication Date: 2019-11-12
INST OF ROCK AND SOIL MECHANICS - CHINESE ACAD OF SCI
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

But at this stage, the application of RPIM in geotechnical engineering is still in its infancy, and the theories in all aspects are not mature enough.

Method used

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  • Optimization algorithm for solving seepage free surface based on radial base point interpolation method
  • Optimization algorithm for solving seepage free surface based on radial base point interpolation method
  • Optimization algorithm for solving seepage free surface based on radial base point interpolation method

Examples

Experimental program
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Effect test

Embodiment 1

[0111] like Figure 5 As shown, the homogeneous and isotropic rectangular dam body is a calculation example with a theoretical solution. The height of the dam body is 1m, the width is 0.5m, the upstream water head is 1m, the downstream water head is 0.5m, and the permeability coefficient is 0.1. The grid is divided into a 10×20 quadrilateral grid. The theoretical solution is given by Hornung U et al., and the numerical solution is obtained by the method of the present invention. The data comparison between theoretical solution and numerical solution is shown in Table 1.

[0112] Table 1: Calculation results for a homogeneous rectangular dam

[0113]

[0114] According to the data in Table 1, it can be seen that the error of the seepage free surface calculated by the method of the present invention is very small, the position of the free surface is basically consistent with the theoretical solution, and the maximum error is only 0.37%, which is better than most numerical m...

Embodiment 2

[0116] like Image 6 As shown, although there is no theoretical solution for the homogeneous trapezoidal dam, many scholars have studied it to verify the stability and accuracy of their own programs when facing inclined surfaces. The dam body in this example is a trapezoid with a lower bottom width of 7m, an upper bottom width of 2m, and a height of 5m. The downstream is a trapezoidal surface, and the upstream is a vertical surface. The upstream water head is 5m, and the downstream water head is 7m. Use a 20×20 quadrilateral grid.

[0117] according to Image 6 In the model shown, the calculation result of the present invention is very close to the result of Lacy, but the difference is that many scholars will use regular quadrilateral and triangular grids to discretize the dam body area to ensure calculation accuracy when calculating this example. However, this example uses an irregular background grid, and the number of grids is also less than that of the predecessors. How...

Embodiment 3

[0119] like Figure 7 As shown, a dam with a clay core is a relatively common situation in actual engineering, so this example can be selected to verify the stability of the present invention when dealing with material interfaces and the feasibility of engineering promotion. In this example, the trapezoidal dam has a lower bottom width of 150m, an upper bottom width of 30m, and a height of 37.5m, and a clay core wall with a lower bottom width of 30m and an upper bottom width of 6m is filled. The upstream water head is 37.5m, and the downstream water head is 6.25m. The ratio of the permeability coefficient of the clay core to the rest of the area is 1 / 10. The grid division still adopts irregular grids with a number of 50×6.

[0120] In many traditional methods, when dealing with material interfaces, in order to improve the accuracy of the solution, the material interface is usually treated as an internal escape surface. In the present invention, the result close to the actual ...

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Abstract

The invention relates to a meshless method seepage free surface solving method based on a radial base point interpolation method. The meshless method seepage free surface solving method comprises thefollowing steps: 1) determining a control equation; 2) determining boundary conditions; 3) determining an RPIM control equation; solving a partial differential equation by adopting RPIM, dispersing aproblem domain into a series of field nodes, introducing an integral rigidity matrix into a background grid in order to facilitate integration and assembly, integral points existing in the backgroundgrid, each integral point having a support domain, and interpolating the field nodes in the support domains to obtain information on the integral points. According to the method, the seepage free surface can be solved conveniently and quickly, the precision is high, the working process can be simplified, and engineering practice can be better guided.

Description

technical field [0001] The invention relates to the technical field of geotechnical engineering, in particular to an optimization algorithm for solving a seepage free surface based on a radial base point interpolation method. Background technique [0002] Seepage is an important reason for the instability and failure of geotechnical structures, and the problems caused by seepage in dams are the most prominent. ASCE / USCOLD has counted 77 dams in the United States, and the results show that about 30% of the dams are destroyed due to insufficient flood discharge capacity, and 40% to 50% of the dams are damaged because of piping and erosion of materials inside embankments and foundations The damage caused by earthquakes and other factors is only a small part. Seepage is a major safety hazard of geotechnical engineering structures, so it is necessary to study the seepage problem. [0003] Solving the seepage free surface is a typical nonlinear problem in geotechnical engineerin...

Claims

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Application Information

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IPC IPC(8): G06Q10/04G06Q50/08G06F17/11
CPCG06Q10/04G06Q50/08G06F17/11Y02A10/40
Inventor 王斌李建国周傲刘健
Owner INST OF ROCK AND SOIL MECHANICS - CHINESE ACAD OF SCI
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