CN112258603B - Three-axis layout drawing method for analyzing rule of three-factor composite influence and application thereof - Google Patents
Three-axis layout drawing method for analyzing rule of three-factor composite influence and application thereof Download PDFInfo
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- CN112258603B CN112258603B CN202011187954.XA CN202011187954A CN112258603B CN 112258603 B CN112258603 B CN 112258603B CN 202011187954 A CN202011187954 A CN 202011187954A CN 112258603 B CN112258603 B CN 112258603B
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- G06—COMPUTING; CALCULATING OR COUNTING
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Abstract
The invention discloses a three-axis layout drawing method for analyzing a three-factor composite influence rule and application thereof, wherein the method comprises the following steps: drawing a triangle, wherein each side of the triangle respectively represents an influence factor; dividing meshes in the triangles; when the grid is divided, one edge is selected and evenly divided into n parts, the node of each part of the edge is taken as a starting point, grid lines parallel to the other two edges are respectively drawn, the other ends of the grid lines are cut off from the other two edges of the triangle, and the real coordinate of the formed grid node on the plane rectangular coordinate system is (x)i，yj) I and j are changed in a manner of increasing from top to bottom and from left to right on a triangle; determining the variation trend of each influence factor, and determining the three-axis coordinates of the grid nodes according to the variation trend; and calculating the values of the grid nodes according to the three-axis coordinates, drawing a color temperature graph according to the values, and drawing a contour line. The method can clearly and intuitively reflect the change trend of the influence result of the three variables when the three variables are changed simultaneously.
Description
Technical Field
The invention relates to the technical field of analysis of a multi-factor composite influence rule, in particular to a three-axis layout drawing method for analysis of a three-factor composite influence rule and application thereof.
Background
The low-permeability gas reservoir is widely distributed and has considerable reserve. How to develop low-permeability gas reservoirs with high efficiency has become a focus of attention. The low-permeability reservoir has the characteristics of low porosity, low permeability, strong heterogeneity and the like, so that the flowing of gas in the reservoir shows a complex seepage phenomenon. If the conventional diameter mining mode is adopted for development, the yield is generally low, and the purpose of economic development is difficult to achieve. Therefore, the low-permeability gas reservoir at home and abroad at present basically adopts a horizontal well exploitation mode.
The gas reservoir gas well productivity analysis is an important research content of gas reservoir engineering research and gas reservoir development design, and can provide a guidance basis for formulation of gas reservoir development scheme design, gas reservoir development scale and investment scale.
The seepage mechanism is very complicated due to the special characteristics of the low-permeability gas reservoir. For example, researches on Tianhai-Chuan and the like show that in the development process of low-permeability gas reservoirs, the productivity of gas wells is reduced due to the existence of stress sensitivity and starting pressure gradient; the existence of the slip effect will increase the gas well productivity. Meanwhile, factors such as formation coefficient, formation heterogeneity, formation pressure and the like can also influence the productivity of the gas well. Guo Xiao et al studied the hypotonic gas layer seepage law under the influence of starting pressure gradient, stress sensitivity effect, non-Darcy effect, medium deformation factor, reservoir heterogeneity. The method comprises the steps of establishing a horizontal well productivity equation considering 6 influence factors such as starting pressure gradient, stress sensitivity, slippage effect, high speed Darcy, skin effect and anisotropy at the same time, analyzing the influence of the factors on the horizontal well productivity, proving that the influence of the influence factors on the result is up to 40.24% according to examples, and suggesting that various factors influencing the horizontal well productivity are considered as comprehensively as possible under the condition that conditions allow when the low-permeability horizontal well productivity is predicted.
The current research shows that in order to efficiently develop low-permeability gas reservoirs, the influence of various factors on the productivity of the horizontal well needs to be considered at the same time. In order to clearly and intuitively reflect the variation trend of the capacity index along with each influence factor, a graph is often needed. A biaxial coordinate system diagram is often adopted in graphic analysis in the prior art, and can only show the relation between the capacity index and a single factor, and the change condition of the capacity index under the joint influence of two or more factors cannot be well reflected.
Disclosure of Invention
Aiming at the problems, the invention aims to provide a three-axis layout drawing method for analyzing a three-factor composite influence rule and application thereof.
The technical scheme of the invention is as follows:
a three-axis layout drawing method for analyzing a three-factor composite influence rule comprises the following steps:
drawing a triangle, wherein three sides of the triangle respectively represent F1、F2、F3Three influencing factors;
dividing a mesh within the triangle; when dividing the grid, selecting F1Dividing one corresponding edge into n parts equally, respectively drawing grid lines parallel to the other two edges by taking the node of each edge as a starting point, wherein the other ends of the grid lines are cut off from the other two edges of the triangle, and the real coordinate of the formed grid node on the plane rectangular coordinate system is (x)i，yj) I ═ 1,2, … …, n; j ═ 1,2, … …, i; i and j are changed in a mode of increasing from top to bottom and from left to right on the triangle;
determining the variation trend of each influence factor;
determining three-axis coordinates of the grid nodes according to the change trend, wherein the three-axis coordinates are as follows:
if F1、F2、F3Are all increased progressively, then (x)i，yj) The corresponding three-axis coordinate is (F)1j，F2i-j+1，F3i)；
If F1Decreasing, F2、F3Are all increased progressively, then (x)i，yj) The corresponding three-axis coordinate is (F)1n-j+1，F2i-j+1，F3i)；
If F1、F2Are all increased, F3Decreasing, then (x)i，yj) The corresponding three-axis coordinate is (F)1j，F2i-j+1，F3n-i+1)；
If F1、F3Are all decreased progressively, F2Increment, then (x)i，yj) The corresponding three-axis coordinate is (F)1n-j+1，F2i-j+1，F3n-i+1)；
If F1、F3Are all increased, F2Decreasing, then (x)i，yj) The corresponding three-axis coordinate is (F)1j，F2n-i+j，F3i)；
If F1、F2Are all decreased progressively, F3Increment, then (x)i，yj) The corresponding three-axis coordinate is (F)1n-j+1，F2n-i+j，F3i)；
If F1Increasing, F2、F3Are all decreased, then (x)i，yj) The corresponding three-axis coordinate is (F)1j，F2n-i+j，F3n-i+1)；
If F1、F2、F3Are all decreased, then (x)i，yj) The corresponding three-axis coordinate is (F)1n-j+1，F2n-i+j，F3n-i+1)；
And calculating the values of the grid nodes according to the three-axis coordinates, and drawing a color temperature graph according to the values.
Preferably, the triangle is an equilateral triangle.
Preferably, the method further comprises the step of drawing contour lines on the color temperature map.
The three-axis layout drawing method for analyzing the three-factor composite influence rule is used for analyzing the influence of permeability, effective thickness and horizontal well length on gas reservoir productivity.
The invention has the beneficial effects that:
the invention has wide application range and can be applied to any formula containing three mutually-influenced variables; the drawing result is clear and visual, the information quantity is rich, the change trend of the productivity index when the three variables are changed simultaneously can be reflected, and the method is more detailed compared with the traditional two-parameter or single-parameter analysis.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
FIG. 1 is a diagram illustrating results of one embodiment of meshing;
FIG. 2 shows an embodiment of gas reservoir QRA change trend schematic diagram along with variables (K ↓, h ↓, L ℃);
FIG. 3 shows an embodiment of gas reservoir QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 4 shows an embodiment of gas reservoir QRA change trend schematic diagram along with variables (K ↓, h ↓, L ↓);
FIG. 5 shows an embodiment of gas reservoir QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 6 shows an embodiment of gas reservoir QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 7 shows an embodiment of gas reservoir QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 8 shows an embodiment of gas reservoir QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 9 shows an embodiment of gas reservoir QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 10 shows an example gas reservoir two QRA change trend schematic diagram along with variables (K ↓, h ↓, L ℃);
FIG. 11 shows an example gas reservoir two QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 12 shows an example gas reservoir two QRFree variationA change trend diagram of the quantity (K ↓, h ↓, L ↓);
FIG. 13 shows an example gas reservoir two QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 14 shows an example gas reservoir two QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 15 shows an example gas reservoir two QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 16 shows an example gas reservoir two QRA change trend schematic diagram along with the variables (K ↓, h ↓, L ↓);
FIG. 17 shows an example gas reservoir two QRAnd a change trend schematic diagram along with the variables (K ↓, h ↓, L ↓).
Detailed Description
The invention is further illustrated with reference to the following figures and examples.
It should be noted that, in the present application, the embodiments and the technical features of the embodiments may be combined with each other without conflict.
It is noted that, unless otherwise indicated, 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 application belongs.
In the present invention, the terms "first", "second", and the like are used for distinguishing similar objects, but not for describing a particular order or sequence order, unless otherwise specified. It is to be understood that the terms so used; the terms "upper", "lower", "left", "right", and the like are used generally with respect to the orientation shown in the drawings, or with respect to the component itself in a vertical, or gravitational orientation; likewise, "inner", "outer", and the like refer to the inner and outer relative to the contours of the components themselves for ease of understanding and description. The above directional terms are not intended to limit the present invention.
The invention provides a three-axis layout drawing method for analyzing a three-factor composite influence rule, which comprises the following steps of:
s1: drawing a triangle, wherein three sides of the triangle respectively represent F1、F2、F3Three influencing factors; it should be noted that the triaxial layout drawing method of the present invention does not limit the shape of the triangle, and the triangles of all shapes are applicable, preferably, the triangle is an equilateral triangle, so that the present invention more conforms to the drawing habit of the triangle layout, and can more intuitively observe the influence degree of each influencing factor.
S2: dividing a mesh within the triangle; when dividing the grid, selecting F1Dividing one corresponding edge into n parts equally, respectively drawing grid lines parallel to the other two edges by taking the node of each edge as a starting point, wherein the other ends of the grid lines are cut off from the other two edges of the triangle, and the real coordinate of the formed grid node on the plane rectangular coordinate system is (x)i，yj) I ═ 1,2, … …, n; j ═ 1,2, … …, i; i and j are varied in a manner of increasing from top to bottom and from left to right on the triangle, and the result of the mesh division is shown in fig. 1.
S3: determining the variation trend of each influence factor, and determining the three-axis coordinates of the grid nodes according to the variation trend, wherein the three-axis coordinates are shown in table 1:
TABLE 1 three-axis coordinates of grid nodes
| Serial number | Influencing factor F1 | Influencing factor F2 | Influencing factor F3 | Three-axis coordinate |
| 1 | Incremental increase | Incremental increase | Incremental increase | (F1j，F2i-j+1，F3i) |
| 2 | Decreasing progressively | Incremental increase | Incremental increase | (F1n-j+1，F2i-j+1，F3i) |
| 3 | Incremental increase | Incremental increase | Decreasing progressively | (F1j，F2i-j+1，F3n-i+1) |
| 4 | Decreasing progressively | Incremental increase | Decreasing progressively | (F1n-j+1，F2i-j+1，F3n-i+1) |
| 5 | Incremental increase | Decreasing progressively | Incremental increase | (F1j，F2n-i+j，F3i) |
| 6 | Decreasing progressively | Decreasing progressively | Incremental increase | (F1n-j+1，F2n-i+j，F3i) |
| 7 | Incremental increase | Decreasing progressively | Decreasing progressively | (F1j，F2n-i+j，F3n-i+1) |
| 8 | Decreasing progressively | Decreasing progressively | Decreasing progressively | (F1n-j+1，F2n-i+j，F3n-i+1) |
S4: and calculating the values of the grid nodes according to the three-axis coordinates, and drawing a color temperature graph according to the values.
S5: and drawing contour lines on the color temperature graph to obtain a three-axis layout for analyzing the three-factor composite influence rule.
In a specific embodiment, the invention is used for analyzing the comprehensive influence of a plurality of factors on the gas reservoir development index. Taking the natural gas unimpeded flow formula calculated by the Joshi formula as an example:
in the formula: qRNo resistance flow of natural gas, m3；TSCIs the standard temperature, K; k is the permeability, mD; h is the effective thickness of the gas reservoirM; t is the gas reservoir temperature, K; p is a radical ofSCIs standard atmospheric pressure, MPa;
is the gas viscosity, mPas; z is a natural gas deviation factor and is dimensionless; p is a radical ofeOriginal formation pressure, MPa; p is a radical ofwfIs bottom hole flowing pressure, MPa; a is a major semi-axis of an oil drainage ellipse and m; l is the length of the horizontal segment, m; beta is the anisotropic measurement of the oil layer anisotropic permeability, and is dimensionless, and takes the value of 1; s is the epidermis coefficient and is dimensionless; r iswIs the wellbore radius, m; r isehIs the radius of the bleed, m.
In the formula (1), the natural gas has no resistance flow QRVaries with the variation of the three variables (K, h, L). Drawing Q by adopting three-axis layout drawing method for analyzing rule of three-factor composite influenceRTrend graph with variable (K, h, L).
The gas reservoir parameters for a certain gas reservoir one are shown in table 2:
TABLE 2 gas reservoir parameters for gas reservoir one
Selecting 8 different influencing factor variation types in the table 1 to obtain Q of the gas reservoir IRThe results with K, h, and L are shown in FIGS. 2-9, respectively.
The gas reservoir parameters for a certain gas reservoir two are shown in table 3:
TABLE 3 gas reservoir parameters for gas reservoir two
Selecting 8 different influencing factor variation types in the table 1 to obtain Q of the gas reservoir IIRThe results with K, h, and L are shown in FIGS. 10-17, respectively.
As can be seen from FIGS. 2-17, Q is drawn by the three-axis layout drawing method for analyzing the rule of influence of three-factor compositionRTrend of variation with variable (K, h, L)The drawing result is clear and visual, and the information content is rich; the method can reflect the change trend of the capacity index when the three variables are changed simultaneously, and is more detailed compared with the traditional two-parameter or single-parameter analysis. In actual application, the user selects the type of the variation of the influencing factors according to the variation trend to be analyzed.
Besides the above embodiments, the present invention can also be applied to any formula containing three mutually influencing variables, and has a wide application range. It should be noted that the triaxial layout drawing method of the present invention can be made into software, so that the operation is simple, and the analysis graph can be obtained only by selecting the variation type of the influencing factor and inputting the corresponding parameter value.
Although the present invention has been described with reference to a preferred embodiment, it should be understood that various changes, substitutions and alterations can be made herein without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (3)
1. A triaxial layout drawing method for rule analysis of three-factor composite influence is characterized in that the three-factor composite influence is influence of permeability, effective thickness and horizontal well length on gas reservoir productivity, and the triaxial layout drawing method comprises the following steps:
drawing a triangle, wherein three sides of the triangle respectively represent F1、F2、F3Three influencing factors;
dividing a mesh within the triangle; when dividing the grid, selecting F1Dividing one corresponding edge into n parts equally, respectively drawing grid lines parallel to the other two edges by taking the node of each edge as a starting point, and cutting off the other ends of the grid lines on the other two edges of the triangle to formThe real coordinate of the grid node on the plane rectangular coordinate system is (x)i，yj) I ═ 1,2, … …, n; j ═ 1,2, … …, i; i and j are changed in a mode of increasing from top to bottom and from left to right on the triangle;
grid passing nodes are respectively made into parallel lines which are parallel to the three coordinate axes, and the intersection point of a parallel line of a coordinate axis II adjacent to the left of the coordinate axis I and the coordinate axis I is used as a point of the grid node mapped on the coordinate axis I;
determining the variation trend of each influence factor;
determining three-axis coordinates of the grid nodes according to the change trend, wherein the three-axis coordinates are as follows:
if F1、F2、F3Are all increased progressively, then (x)i，yj) The corresponding three-axis coordinate is (F)1j，F2i-j+1，F3i)；
If F1Decreasing, F2、F3Are all increased progressively, then (x)i，yj) The corresponding three-axis coordinate is (F)1n-j+1，F2i-j+1，F3i)；
If F1、F2Are all increased, F3Decreasing, then (x)i，yj) The corresponding three-axis coordinate is (F)1j，F2i-j+1，F3n-i+1)；
If F1、F3Are all decreased progressively, F2Increment, then (x)i，yj) The corresponding three-axis coordinate is (F)1n-j+1，F2i-j+1，F3n-i+1)；
If F1、F3Are all increased, F2Decreasing, then (x)i，yj) The corresponding three-axis coordinate is (F)1j，F2n-i+j，F3i)；
If F1、F2Are all decreased progressively, F3Increment, then (x)i，yj) The corresponding three-axis coordinate is (F)1n-j+1，F2n-i+j，F3i)；
If F1Increasing, F2、F3Are all decreased, then (x)i，yj) The corresponding three-axis coordinate is (F)1j，F2n-i+j，F3n-i+1)；
If F1、F2、F3Are all decreased, then (x)i，yj) The corresponding three-axis coordinate is (F)1n-j+1，F2n-i+j，F3n-i+1)；
And calculating the values of the grid nodes according to the three-axis coordinates, and drawing a color temperature graph according to the values.
2. The method of claim 1, wherein the triangle is an equilateral triangle.
3. The method for plotting a three-axis layout for analysis of law of three-factor complex influence according to claim 1, further comprising a step of plotting contours on the color temperature map.
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