CN109507723A - The pressure break calculation method of physical volume and system of microseism fracturing fracture model - Google Patents

The pressure break calculation method of physical volume and system of microseism fracturing fracture model Download PDF

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CN109507723A
CN109507723A CN201710835626.8A CN201710835626A CN109507723A CN 109507723 A CN109507723 A CN 109507723A CN 201710835626 A CN201710835626 A CN 201710835626A CN 109507723 A CN109507723 A CN 109507723A
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volume
model
convex
fracturing fracture
deltahedra
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汤东阳
庞锐
赵德明
王海波
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China Petroleum and Chemical Corp
Sinopec Geophysical Research Institute
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China Petroleum and Chemical Corp
Sinopec Geophysical Research Institute
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    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V1/00Seismology; Seismic or acoustic prospecting or detecting
    • G01V1/28Processing seismic data, e.g. for interpretation or for event detection
    • G01V1/282Application of seismic models, synthetic seismograms

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Abstract

The invention discloses a kind of pressure break calculation method of physical volume of microseism fracturing fracture model and system, microseism fracturing fracture model is equivalent to deltahedra model by the pressure break calculation method of physical volume of the microseism fracturing fracture model;Triangular facet in the deltahedra model is projected, multiple convex pentahedrons are obtained;Based on the volume of multiple convex pentahedrons, the pressure break volume of microseism fracturing fracture model is obtained.The pressure break calculation method of physical volume of microseism fracturing fracture model accurately can quickly calculate crevice volume, and then evaluate fracturing effect.

Description

The pressure break calculation method of physical volume and system of microseism fracturing fracture model
Technical field
The invention belongs to the micro-seismic monitoring fields of the unconventional oil and gas such as shale gas, more particularly, to a kind of microseism The pressure break calculation method of physical volume and system of fracturing fracture model.
Background technique
Microseismic has become a common monitoring technology in compact reservoir oil-gas field development now, by right The processing of signal is detected, the variation in crack during pressure break and oil and gas development is analyzed, according to the positioning result of micro-seismic event ball, In conjunction with the growth and development process of fracturing fracture, building fracturing fracture is realized by effective three-dimensional space numerical simulation algorithm Model, and then carry out the volume estimation and evaluation of Fracturing Effect on Compact Sandstone of the fractured model in later period.
TetGen algorithm is a famous tetrahedral grid generating algorithm, realizes to space Arbitrary 3 D object or has It limits space and carries out tetrahedral subdivision.When being modeled using visual software to microseism crack fracturing model, utilize The realization of TetGen algorithm approaches model using the arbitrary polyhedron after triangulation, and calculates appointing for triangle modeling at present The method of meaning polyhedron volume mainly has two major classes: it is tetrahedron that one kind, which is by grid model subdivision, by all tetrahedral bodies Long-pending and computation model volume;Another kind of is the plane cutting model being parallel to each other with one group, by the area of section and interplanar spacing meter Calculate the volume of grid model.First kind method can realize accurately calculating for grid model, but the calculating of the Tetrahedron subdivision of model It spends too big;Second class efficiency of algorithm is higher, but is difficult to realize accurately calculating for grid model volume.And there is no herein at present The correlative study of the calculation method of physical volume of proposition.
Therefore, it is necessary to develop one kind accurately can quickly calculate microseism fracturing fracture model pressure break stereometer micro-ly The pressure break calculation method of physical volume and system of fractured model are split in jolt-squeeze.
Summary of the invention
The invention proposes a kind of pressure break calculation method of physical volume of microseism fracturing fracture model and system, microseism pressure breaks The pressure break calculation method of physical volume of fractured model accurately can quickly calculate crevice volume, and then evaluate fracturing effect.
To achieve the goals above, a kind of pressure break of microseism fracturing fracture model is provided according to an aspect of the present invention Calculation method of physical volume, comprising: microseism fracturing fracture model is equivalent to deltahedra model;
Triangular facet in the deltahedra model is projected, multiple convex pentahedrons are obtained;
Based on the volume of multiple convex pentahedrons, the pressure break volume of microseism fracturing fracture model is obtained.
Preferably, described microseism fracturing fracture model is equivalent to deltahedra model to comprise determining that microseism Case point realizes that the arbitrary polyhedron after triangulation goes to approach microseism fracturing fracture model using TetGen algorithm, will be micro- Earthquake fracturing fracture model is equivalent to deltahedra model.
Preferably, the triangular facet in the deltahedra model is projected, obtaining multiple convex pentahedrons includes:
Based on the deltahedra model, the apex coordinate (x of deltahedra model is obtainedi, yi, zi);
Based on the apex coordinate, the perspective plane of deltahedra model is obtained;
The deltahedra model is projected to the perspective plane, obtains multiple convex pentahedrons.
Preferably, described to be based on the apex coordinate, obtain the perspective plane of deltahedra model, comprising:
Based on apex coordinate (xi, yi, zi), obtain ziMinimum value zmin
By Z=zminFace as perspective plane.
It is preferably based on the volume of multiple convex pentahedrons, the pressure break volume for obtaining microseism fracturing fracture model includes: to sentence Break the volume symbol of each convex pentahedron, the volume of volume symbol and multiple convex pentahedrons based on each convex pentahedron, by band There is the convex pentahedron volume of volume symbol to add up, obtains the pressure break volume of microseism fracturing fracture model.
Preferably, the volume symbol for judging each convex pentahedron includes:
The volume symbol of convex pentahedron volume is judged based on triangular facet normal vector and the angle of Z axis positive direction;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are greater than 90 degree, the volume symbol of convex pentahedron volume It is negative;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are less than 90 degree, the volume symbol of convex pentahedron volume It is positive;
When the angle of triangular facet normal vector and Z axis positive direction is 0 degree or 180 degree, the volume symbol of convex pentahedron volume It is 0.
A kind of pressure break volume computing system of microseism fracturing fracture model is provided according to another aspect of the present invention, is wrapped It includes:
Memory is stored with computer executable instructions;
Processor, the processor run the computer executable instructions in the memory, execute following steps:
Microseism fracturing fracture model is equivalent to deltahedra model;
Triangular facet in the deltahedra model is projected, multiple convex pentahedrons are obtained;
Based on the volume of multiple convex pentahedrons, the pressure break volume of microseism fracturing fracture model is obtained.
Preferably, described microseism fracturing fracture model is equivalent to deltahedra model to comprise determining that microseism Case point realizes that the arbitrary polyhedron after triangulation goes to approach microseism fracturing fracture model using TetGen algorithm, will be micro- Earthquake fracturing fracture model is equivalent to deltahedra model.
Preferably, the triangular facet in the deltahedra model is projected, obtaining multiple convex pentahedrons includes:
Based on the deltahedra model, the apex coordinate (x of deltahedra model is obtainedi, yi, zi);
Based on apex coordinate (xi, yi, zi), obtain ziMinimum value zmin
By Z=zminFace as perspective plane;
The deltahedra model is projected to the perspective plane, obtains multiple convex pentahedrons.
It is preferably based on the volume of multiple convex pentahedrons, the pressure break volume for obtaining microseism fracturing fracture model includes: to sentence Break the volume symbol of each convex pentahedron, the volume of volume symbol and multiple convex pentahedrons based on each convex pentahedron, by band There is the convex pentahedron volume of volume symbol to add up, obtains the pressure break volume of microseism fracturing fracture model;
Wherein, the volume symbol for judging each convex pentahedron includes:
The volume symbol of convex pentahedron volume is judged based on triangular facet normal vector and the angle of Z axis positive direction;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are greater than 90 degree, the volume symbol of convex pentahedron volume It is negative;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are less than 90 degree, the volume symbol of convex pentahedron volume It is positive;
When the angle of triangular facet normal vector and Z axis positive direction is 0 degree or 180 degree, the volume symbol of convex pentahedron volume It is 0.
The beneficial effects of the present invention are: it goes to approach fracturing fracture model using polyhedral model, by fracturing fracture model Storage estimation be converted to polyhedral volume and calculate, using by each triangular facet of polyhedron toward projecting on same perspective plane, root The volume symbol that Projection Body is determined according to the corner dimension of triangular facet normal vector and reference axis finds out the Projection Body body of each triangular facet Product, and the Projection Body volume of all triangular facet tape symbols is added up, so that polyhedral volume is obtained, thus accurate quickly meter Crevice volume is calculated, the storage capacity of fracturing fracture is assessed, provides technical support for unconventional oil and gas exploitation.
Other features and advantages of the present invention will then part of the detailed description can be specified.
Detailed description of the invention
Exemplary embodiment of the invention is described in more detail in conjunction with the accompanying drawings, it is of the invention above-mentioned and its Its purpose, feature and advantage will be apparent, wherein in exemplary embodiment of the invention, identical reference label Typically represent same parts.
Fig. 1 shows the pressure break calculation method of physical volume of microseism fracturing fracture model according to an embodiment of the invention Flow chart.
Fig. 2 shows the pressure break calculation method of physical volume of microseism fracturing fracture model according to an embodiment of the invention Obtain multiple convex pentahedron schematic diagrames.
Fig. 3 a- Fig. 3 b shows the pressure break stereometer of microseism fracturing fracture model according to an embodiment of the invention Calculation method judges the volume schematic symbol diagram of convex pentahedron.
Fig. 4 a- Fig. 4 e shows the pressure break stereometer of microseism fracturing fracture model according to an embodiment of the invention The convex pentahedron schematic diagram of calculation method.
Fig. 5 shows the pressure break calculation method of physical volume of microseism fracturing fracture model according to an embodiment of the invention Tetrahedron schematic diagram.
Specific embodiment
The preferred embodiment of the present invention is described in more detail below.Although the following describe preferred implementations of the invention Mode, however, it is to be appreciated that may be realized in various forms the present invention without that should be limited by the embodiments set forth herein.Phase Instead, these embodiments are provided so that the present invention is more thorough and complete, and can be by the scope of the present invention completely It is communicated to those skilled in the art.
Embodiment 1
One side according to the present invention provides a kind of pressure break calculation method of physical volume of microseism fracturing fracture model, should Method includes:
Microseism fracturing fracture model is equivalent to deltahedra model;
Triangular facet in the deltahedra model is projected, multiple convex pentahedrons are obtained;
Based on the volume of multiple convex pentahedrons, the pressure break volume of microseism fracturing fracture model is obtained.
The pressure break calculation method of physical volume of the microseism fracturing fracture model enough accurate can quickly calculate crevice volume, into And evaluate fracturing effect.
The following detailed description of the specific step of the pressure break calculation method of physical volume of microseism fracturing fracture model according to the present invention Suddenly.
In one example, microseism fracturing fracture model is equivalent to deltahedra model.
In one example, described microseism fracturing fracture model is equivalent to deltahedra model to comprise determining that Micro-seismic event point realizes that the arbitrary polyhedron after triangulation goes to approach microseism fracturing fracture mould using TetGen algorithm Microseism fracturing fracture model is equivalent to deltahedra model by type.
Specifically, it in the three-dimensional visualization scene of microseism processing software, is determined micro-ly by the means of man-machine interactively Case point is shaken, realizes that the arbitrary polyhedron after triangulation goes to approach microseism fracturing fracture model using TetGen algorithm.It will The volume computational problem of fractured model is converted to the polyhedron volume computational problem based on triangular facet.
In one example, the triangular facet in the deltahedra model is projected, obtains multiple convex five faces Body.
In one example, the triangular facet in the deltahedra model is projected, obtains multiple convex five faces Body includes:
Based on the deltahedra model, the apex coordinate (x of deltahedra model is obtainedi, yi, zi);
Based on the apex coordinate, the perspective plane of deltahedra model is obtained;
The deltahedra model is projected to the perspective plane, obtains multiple convex pentahedrons.
In one example, described to be based on the apex coordinate, obtain the perspective plane of deltahedra model, comprising:
Based on apex coordinate (xi, yi, zi), obtain ziMinimum value zmin
By Z=zminFace as perspective plane.
Specifically, the Z coordinate for traversing all vertex of deltahedra model obtains the smallest Z coordinate value Zmin, takes Z= Zmin plane projects each triangle of deltahedra model towards perspective plane as polyhedral perspective plane, is formed Convex pentahedron.
In one example, the volume based on multiple convex pentahedrons obtains the pressure break volume of microseism fracturing fracture model.
In one example, the volume symbol for judging each convex pentahedron, volume symbol based on each convex pentahedron and The volume of multiple convex pentahedrons adds up the convex pentahedron volume with volume symbol, obtains microseism fracturing fracture mould The pressure break volume of type.
In one example, the volume symbol for judging each convex pentahedron includes:
The volume symbol of convex pentahedron volume is judged based on triangular facet normal vector and the angle of Z axis positive direction;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are greater than 90 degree, the volume symbol of convex pentahedron volume It is negative;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are less than 90 degree, the volume symbol of convex pentahedron volume It is positive;
When the angle of triangular facet normal vector and Z axis positive direction is 0 degree or 180 degree, the volume symbol of convex pentahedron volume It is 0.
Embodiment 2
A kind of pressure break volume computing system of microseism fracturing fracture model is provided according to another aspect of the present invention, it should System includes:
Memory is stored with computer executable instructions;
Processor, the processor run the computer executable instructions in the memory, execute following steps:
Microseism fracturing fracture model is equivalent to deltahedra model;
Triangular facet in the deltahedra model is projected, multiple convex pentahedrons are obtained;
Based on the volume of multiple convex pentahedrons, the pressure break volume of microseism fracturing fracture model is obtained.
Preferably, described microseism fracturing fracture model is equivalent to deltahedra model to comprise determining that Micro-seismic event point realizes that the arbitrary polyhedron after triangulation goes to approach microseism fracturing fracture mould using TetGen algorithm Microseism fracturing fracture model is equivalent to deltahedra model by type.
Preferably, the triangular facet in the deltahedra model is projected, obtains multiple convex five faces Body includes:
Based on the deltahedra model, the apex coordinate (x of deltahedra model is obtainedi, yi, zi);
Based on apex coordinate (xi, yi, zi), obtain ziMinimum value zmin
By Z=zminFace as perspective plane;
The deltahedra model is projected to the perspective plane, obtains multiple convex pentahedrons.
Preferably, the volume based on multiple convex pentahedrons obtains the pressure break volume of microseism fracturing fracture model It include: the volume symbol for judging each convex pentahedron, the body of volume symbol and multiple convex pentahedrons based on each convex pentahedron Product adds up the convex pentahedron volume with volume symbol, obtains the pressure break volume of microseism fracturing fracture model;
Wherein, the volume symbol for judging each convex pentahedron includes:
The volume symbol of convex pentahedron volume is judged based on triangular facet normal vector and the angle of Z axis positive direction;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are greater than 90 degree, the volume symbol of convex pentahedron volume It is negative;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are less than 90 degree, the volume symbol of convex pentahedron volume It is positive;
When the angle of triangular facet normal vector and Z axis positive direction is 0 degree or 180 degree, the volume symbol of convex pentahedron volume It is 0.
Embodiment
Fig. 1 shows the pressure break calculation method of physical volume of microseism fracturing fracture model according to an embodiment of the invention Flow chart.Fig. 2 shows the pressure break calculation method of physical volume of microseism fracturing fracture model according to an embodiment of the invention Obtain multiple convex pentahedron schematic diagrames.Fig. 3 a-3b shows microseism fracturing fracture mould according to an embodiment of the invention The pressure break calculation method of physical volume of type judges the volume schematic symbol diagram of convex pentahedron.Fig. 4 shows a reality according to the present invention Apply the convex pentahedron schematic diagram of pressure break calculation method of physical volume of the microseism fracturing fracture model of example.Fig. 5 is shown according to the present invention One embodiment microseism fracturing fracture model pressure break calculation method of physical volume tetrahedron schematic diagram.
As described in Fig. 1-Fig. 5, the pressure break calculation method of physical volume of the microseism fracturing fracture model includes:
1) microseism fracturing fracture model is equivalent to deltahedra model;
In the three-dimensional visualization scene of microseism processing software, micro-seismic event is determined by the means of man-machine interactively Point realizes that the arbitrary polyhedron after triangulation goes to approach microseism fracturing fracture model using TetGen algorithm.By crack mould The volume computational problem of type is converted to the polyhedron volume computational problem based on triangular facet.
2) triangular facet in the deltahedra model is projected, obtains multiple convex pentahedrons;
As described in Figure 2, ABC is a triangular facet of fractured model, and A1B1C1 is the projection of triangular facet on a projection plane Face, the two constitute convex pentahedron.
3) judge the volume symbol of each convex pentahedron;
The normal vector of triangular facet ABC as described in Figure 3With angle α < 90 degree of Z axis positive direction, so the projection of ABC convex five The volume symbol of face body is positive, the normal vector of triangular facet BDCAngle with Z axis positive direction is 180 degree, so projection BDC Projecting convex pentahedron volume is 0, the normal vector of triangular facet EFGIt is greater than 90 degree with the angle β of Z axis positive direction, so the throwing of EFG The volume symbol of the convex pentahedron of shadow is negative.
4) volume for obtaining multiple convex pentahedrons is calculated, based on the volume of multiple convex pentahedrons, microseism pressure break is obtained and splits The pressure break volume of slit die type;
It is the pentahedron that triangular facet ABC and its perspective plane A1B1C1 is constituted as shown in body V1 in Fig. 4, it can from figure Out by the Z=Zmin plane where Z axis minimum value Zmin in translation perspective plane A1B1C1 to ABC, thus by convex pentahedron point Body V2 and body V3 in Xie Weitu, body V2 can be decomposed into two simple tetrahedrons of V4 and V5, and the triangular prism that V3 is extremely standardized. So the volume of convex pentahedron meets following formula:
V1=V2+V3=V3+V4+V5
V3=SDEC*LA1D
Wherein, V1 is the volume of body V1, and V2 is the volume of body V2, and V3 is the volume of body 3, and V4 is the volume of body V4, and V5 is The volume of body V5, SDECFor the area of triangle DEC, LA1DFor the side length of side A1D.
Tetrahedral cubature formula such as Fig. 5, V4 and V5 is as follows:
M1=b2+c2+e2+f2-a2-d2
M2=a2+c2+d2+f2-b-e2
M3=a2+b2+d2+e2-c2-f2
Q=a2b2c2+b2d2f2+a2e2f2+c2d2e2
Wherein, a, b, c, d, e, f are the side length on each side.
The tape symbol volume of each triangular facet of the polyhedron of fractured model toward the Projection Body on perspective plane is added, so that it may To obtain the precise volumes of the fractured model.
Various embodiments of the present invention are described above, above description is exemplary, and non-exclusive, and It is not limited to disclosed each embodiment.Without departing from the scope and spirit of illustrated each embodiment, for this skill Many modifications and changes are obvious for the those of ordinary skill in art field.

Claims (10)

1. a kind of pressure break calculation method of physical volume of microseism fracturing fracture model, which is characterized in that this method comprises:
Microseism fracturing fracture model is equivalent to deltahedra model;
Triangular facet in the deltahedra model is projected, multiple convex pentahedrons are obtained;
Based on the volume of multiple convex pentahedrons, the pressure break volume of microseism fracturing fracture model is obtained.
2. the pressure break calculation method of physical volume of microseism fracturing fracture model according to claim 1, which is characterized in that described Microseism fracturing fracture model is equivalent to deltahedra model and comprises determining that micro-seismic event point, is calculated using TetGen Method realizes that the arbitrary polyhedron after triangulation goes to approach microseism fracturing fracture model, and microseism fracturing fracture model is equivalent For deltahedra model.
3. the pressure break calculation method of physical volume of microseism fracturing fracture model according to claim 1, which is characterized in that by institute The triangular facet stated in deltahedra model is projected, and is obtained multiple convex pentahedrons and is included:
Based on the deltahedra model, the apex coordinate (x of deltahedra model is obtainedi, yi, zi);
Based on the apex coordinate, the perspective plane of deltahedra model is obtained;
The deltahedra model is projected to the perspective plane, obtains multiple convex pentahedrons.
4. the pressure break calculation method of physical volume of microseism fracturing fracture model according to claim 3, which is characterized in that described Based on the apex coordinate, the perspective plane of deltahedra model is obtained, comprising:
Based on apex coordinate (xi, yi, zi), obtain ziMinimum value zmin
By Z=zminFace as perspective plane.
5. the pressure break calculation method of physical volume of microseism fracturing fracture model according to claim 1, which is characterized in that be based on The volume of multiple convex pentahedrons, the pressure break volume for obtaining microseism fracturing fracture model includes: the body for judging each convex pentahedron Product code, the volume of volume symbol and multiple convex pentahedrons based on each convex pentahedron will have convex five face of volume symbol Body volume adds up, and obtains the pressure break volume of microseism fracturing fracture model.
6. the pressure break calculation method of physical volume of microseism fracturing fracture model according to claim 5, which is characterized in that judgement The volume symbol of each convex pentahedron includes:
The volume symbol of convex pentahedron volume is judged based on triangular facet normal vector and the angle of Z axis positive direction;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are greater than 90 degree, the volume symbol of convex pentahedron volume is It is negative;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are less than 90 degree, the volume symbol of convex pentahedron volume is Just;
When the angle of triangular facet normal vector and Z axis positive direction is 0 degree or 180 degree, the volume symbol of convex pentahedron volume is 0.
7. a kind of pressure break volume computing system of microseism fracturing fracture model, which is characterized in that the system includes:
Memory is stored with computer executable instructions;
Processor, the processor run the computer executable instructions in the memory, execute following steps:
Microseism fracturing fracture model is equivalent to deltahedra model;
Triangular facet in the deltahedra model is projected, multiple convex pentahedrons are obtained;
Based on the volume of multiple convex pentahedrons, the pressure break volume of microseism fracturing fracture model is obtained.
8. the pressure break volume computing system of microseism fracturing fracture model according to claim 7, which is characterized in that described Microseism fracturing fracture model is equivalent to deltahedra model and comprises determining that micro-seismic event point, is calculated using TetGen Method realizes that the arbitrary polyhedron after triangulation goes to approach microseism fracturing fracture model, and microseism fracturing fracture model is equivalent For deltahedra model.
9. the pressure break volume computing system of microseism fracturing fracture model according to claim 7, which is characterized in that by institute The triangular facet stated in deltahedra model is projected, and is obtained multiple convex pentahedrons and is included:
Based on the deltahedra model, the apex coordinate (x of deltahedra model is obtainedi, yi, zi);
Based on apex coordinate (xi, yi, zi), obtain ziMinimum value zmin
By Z=zminFace as perspective plane;
The deltahedra model is projected to the perspective plane, obtains multiple convex pentahedrons.
10. the pressure break volume computing system of microseism fracturing fracture model according to claim 7, which is characterized in that base In the volume of multiple convex pentahedrons, the pressure break volume for obtaining microseism fracturing fracture model includes: to judge each convex pentahedron Volume symbol, the volume of volume symbol and multiple convex pentahedrons based on each convex pentahedron will have convex the five of volume symbol Face body volume adds up, and obtains the pressure break volume of microseism fracturing fracture model;
Wherein, the volume symbol for judging each convex pentahedron includes:
The volume symbol of convex pentahedron volume is judged based on triangular facet normal vector and the angle of Z axis positive direction;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are greater than 90 degree, the volume symbol of convex pentahedron volume is It is negative;
Wherein, when triangular facet normal vector and the angle of Z axis positive direction are less than 90 degree, the volume symbol of convex pentahedron volume is Just;
When the angle of triangular facet normal vector and Z axis positive direction is 0 degree or 180 degree, the volume symbol of convex pentahedron volume is 0.
CN201710835626.8A 2017-09-15 2017-09-15 The pressure break calculation method of physical volume and system of microseism fracturing fracture model Pending CN109507723A (en)

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