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Calculation method of full-three-dimensional mathematical model for crack initiation expansion of fracturing horizontal seam

A technology of mathematical models and calculation methods, applied in design optimization/simulation, electrical digital data processing, special data processing applications, etc.

Active Publication Date: 2020-12-18
PETROCHINA CO LTD +1
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Problems solved by technology

[0004] Therefore, due to the large amount of calculations for the traditional full 3D fracturing fracture initiation and expansion 3D mathematical model, which affects the practical application of oil production engineering mines, it is urgent to design its mathematical model and improve its calculation solution in order to improve the solution speed and accuracy

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  • Calculation method of full-three-dimensional mathematical model for crack initiation expansion of fracturing horizontal seam
  • Calculation method of full-three-dimensional mathematical model for crack initiation expansion of fracturing horizontal seam
  • Calculation method of full-three-dimensional mathematical model for crack initiation expansion of fracturing horizontal seam

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[0072]The present invention will be further described below in conjunction with the drawings and implementation examples:

[0073]A calculation method for a full three-dimensional mathematical model of the initiation and propagation of fractured horizontal fractures, including the following steps:

[0074]Step 1: Establish the elastic rock mechanics equation;

[0075]Step 2: Establish the continuity equation of material flow;

[0076]Step 3: Use three-node triangular isoparametric elements to mesh the crack propagation area;

[0077]Step 4: Using Galerkin or Galerkin method finite element method combined with the number of nodes in the mesh to discretize the elastic rock mechanics equation and the mass flow continuity equation;

[0078]Step 5: Use the new pickup iterative method to solve the discrete equations;

[0079]Step 6: Use the solution results to calculate the crack propagation judgment criterion to judge whether the crack propagation front is stable;

[0080]Step 7: If the crack front in step 6 is...

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Abstract

The invention relates to the technical field of oil production engineering, in particular to a calculation method of a full-three-dimensional mathematical model for crack initiation expansion of fracturing horizontal seam. The method comprises the following steps: 1) establishing an elastic rock mechanical equation; 2) establishing a substance flow continuity equation; 3) adopting a three-node triangle isoparametric unit to carry out mesh generation on the crack expansion area; 4) discretizing the elastic rock mechanics equation and the substance flow continuity equation by adopting a Galerkinmethod finite element method and combining the number of nodes of mesh generation; 5) solving a discrete equation by adopting a new pico-card iteration method; 6) calculating a crack extension judgment criterion by utilizing a solving result, and judging whether the crack extension front edge is stable; (7) if the front edge of the crack in the step (6) is unstable, executing the step (3) to thestep (6) again; and if the crack front edge in the step 6) is stable, stopping calculation. The method has the advantages of being high in solving speed, small in iteration frequency, high in calculation precision and the like.

Description

Technical field:[0001]The invention relates to the technical field of oil production engineering, in particular to a calculation method for a full three-dimensional mathematical model of the initiation and propagation of fracturing horizontal fractures.Background technique:[0002]Before the 1980s, two-dimensional models were used in hydraulic fracturing design calculations at home and abroad. Representative models include PKN model and KGD model, but these models are used to simulate vertical fractures, a large number of experiments and field studies It shows that the height of the crack is not a fixed value, which limits the use of the model. At the same time, there is no classic two-dimensional calculation model for horizontal cracks. For large-scale fracturing processes, it is necessary to use a three-dimensional model for reasonable simulation. The three-dimensional model includes pseudo-three-dimensional and full three-dimensional models. The pseudo-three-dimensional model assum...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/23
CPCG06F30/23G06F2119/14
Inventor 徐冰刘向斌陈文将刘珂君陈玲玲王静张新月徐慧琳
Owner PETROCHINA CO LTD
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