CN115937467B - Method and system for dividing random three-dimensional fracture in upscale model grid - Google Patents

Method and system for dividing random three-dimensional fracture in upscale model grid Download PDF

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CN115937467B
CN115937467B CN202310232053.5A CN202310232053A CN115937467B CN 115937467 B CN115937467 B CN 115937467B CN 202310232053 A CN202310232053 A CN 202310232053A CN 115937467 B CN115937467 B CN 115937467B
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grid
fracture
dimensional
model
cracks
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CN115937467A (en
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陈涛
高宗军
尹会永
冯建国
孙明远
王敏
张呈伟
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Shandong University of Science and Technology
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Abstract

The invention belongs to the data processing technology, and provides a method and a system for dividing random three-dimensional cracks in an upscaled model grid, which aim at the characteristics of multiple crack numbers, complex geometric forms and the like of the three-dimensional cracks, and have the defects of difficulty in cutting and dividing the cracks in the upscaled model grid, and comprise the steps of constructing a crack medium simulation area according to the actual geological conditions of a simulation object; acquiring randomly generated three-dimensional polygonal cracks and permeability information thereof, and corresponding the randomly generated three-dimensional polygonal cracks and the permeability information thereof to a crack medium simulation area; establishing a grid system of an upscale model, and generating a grid cutter based on the grid system of the upscale model; the grid cutting body is adopted to cut and divide the three-dimensional polygonal cracks, so that the geometric information and permeability information of the cracks falling into each upscale grid after cutting are obtained, and the random three-dimensional cracks can be accurately, efficiently and conveniently divided in the upscale model grid.

Description

Method and system for dividing random three-dimensional fracture in upscale model grid
Technical Field
The invention belongs to the technical field of data processing, and particularly relates to a method and a system for dividing random three-dimensional cracks in an upscaled model grid.
Background
The statements in this section merely provide background information related to the present disclosure and may not necessarily constitute prior art.
In the process of building the upscale model by using the scale lifting technology, the first step is to divide the fissures into grids of the upscale model, so that subsequent analysis and calculation of equivalent parameters of the grids are facilitated. However, three-dimensional cracks are usually randomly generated, and have the characteristics of large number of cracks, complex geometric forms and the like, so that difficulty is caused in cutting and dividing the cracks in the upscaled model grid.
In addition, the existence of the typical unit body of the fracture medium is an important basis for determining the equivalent parameters of the grid, namely whether the typical unit body exists or not is judged by analyzing the change characteristics of the equivalent parameters along with the size of the grid, so that a theoretical basis is provided for the selection of the equivalent parameters. However, most of the existing analysis techniques for the existence of typical unit bodies are concentrated on a single grid, and a unified and convenient processing technique is not available for a plurality of grids in an upscale model.
Disclosure of Invention
In order to solve at least one technical problem in the background art, the invention provides a method and a system for dividing random three-dimensional cracks in an upscaled model grid, which combine a three-dimensional grid generation technology and a graph cutting technology, and provide a method for dividing the random three-dimensional cracks in the upscaled model grid accurately, efficiently and conveniently.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
a first aspect of the present invention provides a method of partitioning a random three-dimensional fracture in an upscaled model mesh, comprising the steps of:
constructing a crack medium simulation area according to the actual geological conditions of the simulation object;
acquiring randomly generated three-dimensional polygonal cracks and permeability information thereof, and corresponding the randomly generated three-dimensional polygonal cracks and the permeability information thereof to a crack medium simulation area;
establishing a grid system of an upscale model, and generating a grid cutter based on the grid system of the upscale model;
and cutting and dividing the three-dimensional polygonal cracks by adopting a grid cutting body to obtain the geometric information and permeability information of the cracks falling into each grid after cutting.
As one embodiment, the three-dimensional polygonal fracture information includes a geometry of each fracture, fracture-related information, and a spatial location distribution of the fracture.
As one embodiment, the generating the mesh cutter by the mesh system based on the upscaling model includes:
setting the grid form, size and scaling of the upscale model;
and calculating the number of the grid cutters according to the grid morphology, the size and the scaling of the upscale model and the size of the crack medium simulation area, and generating the grid cutters with the corresponding number.
In one embodiment, the three-dimensional polygonal fracture is cut and divided by using the grid cutting bodies in a mode that each grid cutting body is cut by sequentially applying a cutting boundary to each fracture.
As one embodiment, after the three-dimensional polygonal fracture is cut and divided, the obtained endpoint coordinate data of each grid, the polygonal endpoint coordinates of the three-dimensional fracture surface in the grid and the permeability data thereof are derived in batches and stored for subsequent analysis.
A second aspect of the invention provides a system for partitioning a random three-dimensional fracture in an upscaled model mesh, comprising:
a simulation area construction module configured to: constructing a crack medium simulation area according to the actual geological conditions of the simulation object;
a three-dimensional fracture mapping module configured to: acquiring randomly generated three-dimensional polygonal cracks and permeability information thereof, and corresponding the randomly generated three-dimensional polygonal cracks and the permeability information thereof to a crack medium simulation area;
a cutter generation module configured to: establishing a grid system of an upscale model, and generating a grid cutter based on the grid system of the upscale model;
a cut partitioning module configured to: and cutting and dividing the three-dimensional polygonal cracks by adopting a grid cutting body to obtain the geometric information and permeability information of the cracks falling into each grid after cutting.
In one embodiment, the three-dimensional fracture mapping module includes three-dimensional polygonal fracture information including a geometry of each fracture, fracture-related information, and a spatial location distribution of the fracture.
As one embodiment, in the cutter generation module, the generating the grid cutter by the grid system based on the upscaling model includes:
setting the grid form, size and scaling of the upscale model;
and calculating the number of the grid cutters according to the grid morphology, the size and the scaling of the upscale model and the size of the crack medium simulation area, and generating the grid cutters with the corresponding number.
In one embodiment, the three-dimensional polygonal fracture is cut and divided by using the grid cutting bodies in a mode that each grid cutting body is cut by sequentially applying a cutting boundary to each fracture.
As one embodiment, the system further comprises a data storage module, after the three-dimensional polygonal fracture is cut and divided, the obtained endpoint coordinate data of each grid, polygonal endpoint coordinates of the three-dimensional fracture surface in the grid and permeability data thereof are exported in batches and stored for subsequent analysis.
Compared with the prior art, the invention has the beneficial effects that:
aiming at the defects of difficult processing, complex working procedure, slow calculation and the like when facing the complex characteristic problems of multi-scale and the like of the three-dimensional fracture geometry in the prior art, the three-dimensional fracture segmentation method combines the three-dimensional grid generation technology and the graph cutting technology, and can accurately and rapidly divide the three-dimensional fracture into the upscale model grids. In addition, the size of the cutting volume can be flexibly changed by setting the scaling of the grid, and a convenient processing method is provided for analyzing the existence of typical unit bodies in the grid. Compared with the prior art, the method for dividing the grid internal fissures has the advantages of accuracy, high efficiency, convenience and low cost.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the invention.
FIG. 1 is a flowchart of a method for dividing a three-dimensional fracture in a upscale model grid according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of an upscaling model grid system according to a first embodiment of the present invention;
FIG. 3 is a schematic diagram of a randomly generated three-dimensional fracture network according to one embodiment of the present invention;
fig. 4 (a) -4 (d) are three-dimensional fracture network division results under different scaling factors in the first embodiment of the present invention, where fig. 4 (a) is a three-dimensional fracture network division result under a scaling factor of 1.0, fig. 4 (b) is a three-dimensional fracture network division result under a scaling factor of 0.75, fig. 4 (c) is a three-dimensional fracture network division result under a scaling factor of 0.5, and fig. 4 (d) is a three-dimensional fracture network division result under a scaling factor of 0.25.
Detailed Description
The invention will be further described with reference to the drawings and examples.
It should be noted that the following detailed description is illustrative and is intended to provide further explanation of the invention. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the present invention. As used herein, the singular is also intended to include the plural unless the context clearly indicates otherwise, and furthermore, it is to be understood that the terms "comprises" and/or "comprising" when used in this specification are taken to specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof.
Fluid (water, oil, carbon dioxide, etc.) migration in subterranean rock media is closely related to a number of resources and environmental problems, such as water resource exploitation and utilization, carbon dioxide geological sequestration, geothermal resource exploitation and utilization, etc. Numerical modeling is an important method and tool for quantitatively characterizing the fluid migration process, predicting resource production and engineering risk assessment efforts. Because of the mechanical action of underground rock, fracture networks of varying dimensions, shape and permeability are typically created. These fissures are used as the main water guide channels, which are critical to the seepage process and increase the difficulty of numerical simulation.
Numerical calculation models that simulate the migration of fluids in a fracture medium can be generally divided into two categories: discrete fracture models and equivalent fracture models. In a discrete fracture model, the geometric form of each fracture is reproduced in the model, and the method is a relatively accurate simulation method. However, when the number of fissures is too large, the amount of calculation consumed in the mesh division and numerical calculation is enormous, and particularly when simulation of a large area is performed, difficulty in calculation limits the application of the model. The equivalent fracture model (upscale model) establishes an equivalent relation between the fine fracture geometry and parameters such as permeability in the upscale model grid by means of a scale lifting technology, so that the calculation efficiency is improved, and the simulation cost is reduced.
Example 1
As shown in fig. 1, the embodiment provides a method for dividing a random three-dimensional fracture in an upscaled model grid, which includes the following steps:
step 1: constructing a crack medium simulation area according to the actual geological conditions of the simulation object;
step 2: acquiring randomly generated three-dimensional polygonal cracks and permeability information thereof, and corresponding the randomly generated three-dimensional polygonal cracks and the permeability information thereof to a crack medium simulation area;
step 3: establishing a grid system of an upscale model, and generating a grid cutter based on the grid system of the upscale model;
step 4: dividing the three-dimensional polygonal fracture by adopting a grid cutting body to obtain fracture geometric information and permeability information of each upscaled grid after cutting;
step 5: the geometric data of the upscaled grids and the fracture geometric information and permeability information which fall into each grid after cutting are derived for subsequent analysis.
In step 1, the constructing the fracture medium simulation area according to the actual situation of the simulation object includes:
step 101: determining the shape of a fracture medium simulation area according to the actual geological conditions of the simulated object;
step 102: setting a space rectangular coordinate system according to the shape of the fracture medium simulation area;
the shape of the simulation area may be a cuboid or a complex shape built up according to geological conditions.
In the step 2, the three-dimensional polygonal fracture information comprises the geometric form of each fracture, fracture related information and the spatial position distribution of the fracture;
wherein the geometric form of each crack comprises a polygon, an ellipse, a circle and the like; the fracture-related information includes fracture width, fracture permeability, and fracture porosity, and the spatial location of the fracture is distributed over the simulation area.
In step 3, the generating the grid cutter by the grid system based on the upscaling model includes:
step 301: determining the grid morphology, size and scaling of the upscale model;
step 302: calculating the number of grids in the x, y and z directions of a space rectangular coordinate system according to the size of the crack medium simulation area, the size and the scaling of the grids of the upscaled model;
the dimensions of the crack medium simulation area in the x, y and z directions are Lx, ly and Lz;
the grid of the upscaling model has dimensions dx, dy and dz in the x, y and z directions; setting an equal-proportion scaling factor a in the x, y and z directions, wherein a is more than or equal to 0 and less than or equal to 1;
the number of grids obtained by calculation is nx, ny and nz in the x, y and z directions, respectively.
Wherein x is the abscissa of a space rectangular coordinate system, and the number of grids corresponding to the direction is nx=a×lx/dx;
y is the ordinate of the space rectangular coordinate system, and the grid number corresponding to the direction is ny=a×ly/dy;
z is the vertical coordinate of the space rectangular coordinate system, and the number of grids corresponding to the direction is nz=a×lz/dz.
Taking the grid center as an origin, and scaling the grid dimensions to dx ', dy ' and dz ';
the scaling factor is a=dx '/dx=dy '/dy=dz '/dz, 0.ltoreq.a.ltoreq.1.
In step 4, according to the coordinate points of the upscaled model grids and the scaling coefficient a, generating nx×ny×nz grid cutting bodies, wherein the boundary surface of each cutting body isS i I=1, 2 …. For each mesh cutter, the cutting boundary surface is applied in turnS i And cutting each crack, and if the crack still falls in the grid cutting body, storing the cut crack information.
In step 5, according to the requirement of the subsequent analysis and test, the divided grid geometric information, the slit geometric form and other information are saved in a specific format so as to be directly used as an input file of the subsequent analysis and calculation work, wherein the file format comprises a txt, js, obj, tcl text file and c and py source program files.
The following is an example of the method of the present invention, in combination with actual data, as follows:
step 1: according to the actual geological conditions of a certain area, setting a fracture medium simulation area as a cube, and the length Lx, the width Ly and the height Lz as 1000m,1000m and 500m respectively, wherein the origin (0, 0) of a coordinate system is positioned at the left lower corner of the model;
step 2: setting the grid form of the upscale model as a cube, setting the length dx, the width dy and the height dz as 100m respectively, calculating to obtain the grid numbers nx, ny and nz as 10,10 and 5 respectively according to the size of a simulation area, setting the scaling ratio a=1.0 or a=0.75, a=0.5 and a=0.25, and obtaining the grid system of the upscale model in fig. 2;
step 3: 220 randomly generated three-dimensional polygonal fractures and permeability information thereof are imported into a simulation area, and fig. 3 shows the distribution form of the three-dimensional random fractures in the simulation area.
Step 4: the introduced 220 three-dimensional cracks are cut and divided by using the upscaled model grids, and information such as crack geometry, permeability and the like in each grid is stored, wherein (a) of fig. 4 is a three-dimensional crack network division result under the condition that a scaling coefficient is 1.0, (b) of fig. 4 is a three-dimensional crack network division result under the condition that the scaling coefficient is 0.75, (c) of fig. 4 is a three-dimensional crack network division result under the condition that the scaling coefficient is 0.5, and (d) of fig. 4 is a three-dimensional crack network division result under the condition that the scaling coefficient is 0.25.
Step 5: and (3) in a txt format file, deriving and storing endpoint coordinate data of each upscaled grid, polygon endpoint coordinates of the three-dimensional fracture surface in the grid and permeability data thereof in batches.
The technical scheme has the advantages that the three-dimensional grid generation technology and the graph cutting technology are combined, the accurate division of the three-dimensional cracks in the upscaled grid is realized, and the analysis and calculation of parameters such as the equivalent permeability of the grid are facilitated. In addition, by varying the grid scaling ratio, the division volume size is controlled, providing a flexible, efficient method for batch analysis of the presence of typical cell bodies within a grid.
Example two
The embodiment provides a system for dividing random three-dimensional cracks in an upscaled model grid, comprising:
a simulation area construction module configured to: constructing a crack medium simulation area according to the actual geological conditions of the simulation object;
a three-dimensional fracture mapping module configured to: acquiring randomly generated three-dimensional polygonal cracks and permeability information thereof, and corresponding the randomly generated three-dimensional polygonal cracks and the permeability information thereof to a crack medium simulation area;
a cutter generation module configured to: establishing a grid system of an upscale model, and generating a grid cutter based on the grid system of the upscale model;
a cut partitioning module configured to: and cutting and dividing the three-dimensional polygonal cracks by adopting a grid cutting body to obtain the geometric information and permeability information of the cracks falling into each grid after cutting.
In the three-dimensional fracture mapping module, the three-dimensional polygonal fracture information comprises the geometric form of each fracture, fracture related information and the spatial position distribution of the fracture.
Wherein, in the cutter generation module, the grid system generation grid cutter based on the upscaling model comprises:
setting the grid form, size and scaling of the upscale model;
and calculating the number of the grid cutters according to the grid morphology, the size and the scaling of the upscale model and the size of the crack medium simulation area, and generating the grid cutters with the corresponding number.
The three-dimensional polygonal fracture cutting and dividing mode is that each grid cutting body is cut by sequentially applying a cutting boundary to each fracture.
The system further comprises a data storage module, wherein after the three-dimensional polygonal fracture is cut and divided, the obtained endpoint coordinate data of each grid, polygonal endpoint coordinates of the three-dimensional fracture surface in the grid and permeability data thereof are exported in batches and stored for subsequent analysis.
The technical scheme has the advantages that the three-dimensional grid generation technology and the graph cutting technology are combined, the accurate division of the three-dimensional cracks in the upscaled grid is realized, and the analysis and calculation of parameters such as the equivalent permeability of the grid are facilitated. In addition, by varying the grid scaling ratio, the division volume size is controlled, providing a flexible, efficient method for batch analysis of the presence of typical cell bodies within a grid.
The above description is only of the preferred embodiments of the present invention and is not intended to limit the present invention, but various modifications and variations can be made to the present invention by those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (8)

1. The method for dividing the random three-dimensional fissures in the upscaled model grid is characterized by comprising the following steps of:
constructing a crack medium simulation area according to the actual geological conditions of the simulation object;
acquiring randomly generated three-dimensional polygonal cracks and permeability information thereof, and corresponding the randomly generated three-dimensional polygonal cracks and the permeability information thereof to a crack medium simulation area;
establishing a grid system of an upscale model, and generating a grid cutter based on the grid system of the upscale model;
wherein the generating the grid cutter by the grid system based on the upscaling model comprises the following steps:
setting the grid form, size and scaling of the upscale model;
according to the grid form, the size and the scaling of the upscale model and the size of the crack medium simulation area, calculating the number of grid cutters and generating the grid cutters with the corresponding number;
and cutting and dividing the three-dimensional polygonal cracks by adopting a grid cutting body to obtain the geometric information and permeability information of the cracks falling into each grid after cutting.
2. The method of partitioning a random three-dimensional fracture in an upscaled model grid according to claim 1, wherein the three-dimensional polygonal fracture information comprises a geometry of each fracture, a fracture width, a fracture permeability, a fracture porosity, and a spatial location distribution of the fracture.
3. The method for dividing the random three-dimensional fracture into the grids of the upscaled model according to claim 1, wherein the three-dimensional polygonal fracture is divided by adopting grid cutting bodies in a cutting mode that each grid cutting body is sequentially used for cutting each fracture by using a cutting boundary.
4. The method of partitioning a random three-dimensional fracture in an upscaled model mesh according to claim 1, wherein after partitioning the three-dimensional polygonal fracture, the obtained endpoint coordinate data of each mesh, the polygonal endpoint coordinates of the three-dimensional fracture surface within the mesh and their permeability data are derived in batches and stored for subsequent analysis.
5. A system for partitioning random three-dimensional fractures in an upscaled model mesh, comprising:
a simulation area construction module configured to: constructing a crack medium simulation area according to the actual geological conditions of the simulation object;
a three-dimensional fracture mapping module configured to: acquiring randomly generated three-dimensional polygonal cracks and permeability information thereof, and corresponding the randomly generated three-dimensional polygonal cracks and the permeability information thereof to a crack medium simulation area;
a cutter generation module configured to: establishing a grid system of an upscale model, and generating a grid cutter based on the grid system of the upscale model; wherein the generating the grid cutter by the grid system based on the upscaling model comprises the following steps:
setting the grid form, size and scaling of the upscale model;
according to the grid form, the size and the scaling of the upscale model and the size of the crack medium simulation area, calculating the number of grid cutters and generating the grid cutters with the corresponding number;
a cut partitioning module configured to: and cutting and dividing the three-dimensional polygonal cracks by adopting a grid cutting body to obtain the geometric information and permeability information of the cracks falling into each grid after cutting.
6. The system of claim 5, wherein the three-dimensional fracture mapping module wherein the three-dimensional polygonal fracture information comprises a geometry of each fracture, a fracture width, a fracture permeability, a fracture porosity, and a spatial location distribution of the fracture.
7. The system for partitioning a random three-dimensional fracture into an upscaled model mesh according to claim 5, wherein the three-dimensional polygonal fracture is partitioned by using mesh cutters in such a manner that each mesh cutter is sequentially used to cut each fracture by using a cutting boundary.
8. The system for partitioning a random three-dimensional fracture in an upscaled model grid according to claim 5, further comprising a data storage module for deriving and storing the obtained endpoint coordinate data of each grid, the polygon endpoint coordinates of the three-dimensional fracture surface within the grid and its permeability data in batches for subsequent analysis after the three-dimensional polygon fracture is partitioned.
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