Method for calculating underground water seepage flow based on equipotential surface

A calculation method and technology of equipotential surface are applied in the calculation field of groundwater seepage flow using finite element method, which can solve the problems of long calculation time and affect the accuracy of flow calculation, so as to achieve the effect of high calculation accuracy and avoid difficult determination of flow section.

Active Publication Date: 2011-05-18
YELLOW RIVER ENG CONSULTING
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Problems solved by technology

This method needs to assume the distance L between the centroids of the two planes, and the calculation section needs to be subdivided again. Iterative method is needed to solve the local coordinates in the unit coordinate system of the u

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  • Method for calculating underground water seepage flow based on equipotential surface
  • Method for calculating underground water seepage flow based on equipotential surface
  • Method for calculating underground water seepage flow based on equipotential surface

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Embodiment Construction

[0081] The method adopted in the present invention is based on the seepage calculation method of equipotential surface, and its principle is:

[0082] Since the seepage motion satisfying Darcy's law satisfies Laplace's equation ,

[0083] Therefore, the calculation formula for the seepage flow through a section s in the seepage field is: ,

[0084] In the equation, s is the flow section; n is the unit vector of the positive normal direction of the flow section.

[0085] It can be known from relevant theories that in the isotropic field, the direction of the seepage flow velocity and the gradient are consistent, forming a streamline, which is orthogonal to the equipotential surface of the hydraulic head, so the normal direction of the equipotential surface of the hydraulic head is the direction of the flow velocity.

[0086] According to the characteristics of the seepage field, if the water head equipotential surface is used to calculate the cross-section, the calculation...

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Abstract

The invention discloses a method for calculating underground water seepage flow based on an equipotential surface. The method comprising the following steps: (1.1) solving a seepage field, namely solving the seepage field by adopting the conventional finite element method and solving the water head values of the nodes of each unit; (1.2) determining the water head value of the equipotential surface, defining the water head value of the equipotential surface to be determined as h0, and forming the equipotential surface by the nodes with the same water head value; and (1.3) executing the step (1.3.1) on any unit or a unit No. ie in the seepage field, wherein the step (1.3.1) includes that the relations between the water head values of the nodes and h0 are judged. The method disclosed by the invention is a new method which solves the underground water seepage flow by utilizing a finite element and has the advantages that integral is directly carried out on the equipotential surface, the section through which water flows is vertical to the flow direction, no component interference is produced and calculation accuracy is high. The flow passing through the equipotential surface of the water head is in just one direction, thus avoiding that not only the direction of gradient of the water head but also the direction of an area vector are required to be determined in a middle section method.

Description

technical field [0001] The invention belongs to the technical field of groundwater control in water conservancy projects, and relates to numerical simulation technology for groundwater seepage engineering, in particular to a calculation method for solving groundwater seepage flow by using finite elements. Background technique [0002] Seepage is a kind of groundwater movement. When there is a water level difference in a building and its foundation, groundwater will flow from a place with a high water level to a place with a low water level, forming seepage. Seepage is a subject that is closely related to hydraulics and rock and soil mechanics. With the continuous development of modern science and technology, seepage has been greatly developed in basic theory, test methods, calculation methods and applications, and has gradually become a subject. As a specialized discipline, it has been able to solve various complex engineering problems. The seepage of earth-rockfill dams un...

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Application Information

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IPC IPC(8): G06F19/00
Inventor 李斌景来红宋海亭宋志宇
Owner YELLOW RIVER ENG CONSULTING
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