CN110288233A - A kind of deep layer shale gas compressibility evaluation method based on fuzzy gray correlation theroy method - Google Patents
A kind of deep layer shale gas compressibility evaluation method based on fuzzy gray correlation theroy method Download PDFInfo
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Abstract
The present invention has high temperature, high pressure, strong plastic behavior by the domestic and international shale gas compressibility evaluation method major parameter of analysis and summary, in conjunction with deep layer shale gas-bearing formation, mainly in terms of geology and engineering factor, preferred deep layer shale gas compressibility assessment parameter；It has fully considered the influence of stratum confining pressure and rock anisotropy to parameter, has formd the calculation method of compressibility evaluation parameter；Utilize fuzzy gray correlation theroy analysis method, analyze the correlation of the compressibility exponential curve and crack complexity index method curve of different weight combinations, by the optimization weight combination of related coefficient maximum principle, establish compressibility Mathematical Model of Comprehensive Evaluation, deep layer shale gas compressibility integrated evaluating method is formed, the fracturing parameter optimization design for improving crack complexity to deep layer shale gas has directive significance.
Description
Technical field
The present invention relates to Exploration Domains, and in particular to a kind of deep layer shale gas compressibility based on fuzzy gray correlation theroy method
Evaluation method.
Background technique
Compressibility is to evaluate the complexity that volume fracturing complex fracture network is formed in shale gas pressure break.It is main at present
Compressibility evaluation method include four seed types: compressibility is evaluated according to all crisp mineral contents and rock brittleness, according to rock
Stone brittleness and fracture toughness/energy to failure evaluate compressibility, comprehensively consider quartz content, rock brittleness, intrinsic fracture development journey
The parameter evaluations compressibility such as degree, horizontal stress difference use 6 kinds directly related with crack complexity from different perspectives and comment
Valence parameter, i.e. brittle mineral content, clay mineral content, rock brittleness, horizontally stress difference, intrinsic fracture development degree
And fracture toughness.
Deep layer shale gas is with the intensification of buried depth, and three-dimensional stress increases, horizontal stress difference increases, rock plasticity feature increases
By force, reservoir poor compressibility, fracture extension is difficult, is unfavorable for forming complicated seam net.Therefore, deep layer shale gas compressibility is established
The fracturing parameter optimization design that evaluation method improves crack complexity to deep layer shale gas has great importance.Existing skill
Art not can solve deep layer shale gas compressibility evaluation problem still.
Summary of the invention
To solve the above-mentioned problems, the present invention provide it is a kind of can coincide with the Development Practice at scene based on Fuzzy Grey
The deep layer shale gas compressibility evaluation method of color correlation method
Include the following steps,
S1: brittle mineral content parameter data, clay mineral content supplemental characteristic, rock brittleness supplemental characteristic, water are obtained
Level land stress difference supplemental characteristic, Fracture Toughness Parameter data, cohesive force supplemental characteristic and intrinsic fracture develop supplemental characteristic；
S2: compressibility quantized value is obtained using following formula
In formula,
Δ σ is horizontally stress difference absolute value, unit MPa,
SiFor quartz content, unit %,
YMScFor static Young's modulus value, unit 10GPa,
PRCFor static Poisson's ratio, PRCParameter dimensionless,
SHRock brittleness, SHParameter dimensionless,
KICFor I type crack fracture toughness, unit MPam0.5,
KIICFor II type crack fracture toughness, unit MPam0.5,
S0For cohesive force, unit MPa,
SFIntrinsic fracture development degree, SFParameter dimensionless.
The beneficial effects of the invention are as follows
(1) 7 parameter combinations of the present invention preferably deep layer shale gas compressibility overall merit: brittle mineral content, clay pit
Object content, rock brittleness, horizontally stress difference, fracture toughness, cohesive force and intrinsic fracture development degree, being capable of system table
State deep layer shale gas-bearing formation compressibility feature.
(2) present invention utilizes fuzzy gray correlation theroy analysis method, has obtained the compressibility exponential curve of different weight combinations
With the correlation of crack complexity index method curve, by the optimization weight combination of related coefficient maximum principle, it is comprehensive that foundation obtains compressibility
Evaluation mathematical model is closed, calculated result and live Development Practice are coincide.
Detailed description of the invention
Fig. 1 A1 well moves static modulus of elasticity relationship and is fitted schematic diagram.
Fig. 2 A1 well sound state Poisson's ratio relationship is fitted schematic diagram.
Fig. 3 horizontal stress difference and crack complex exponent relation schematic diagram.
16 sections of crack complexity index method figures of Fig. 4 B2 well.
B2 well compressibility index and crack complex exponent curve correlation coefficient schematic diagram under each weight distribution scheme of Fig. 5.
Fig. 6 optimizes 16 sections of compressibility indexes of B2 well and crack complex exponent curve comparison under weight distribution scheme and illustrates
Figure.
Fig. 7 B1 well compressibility exponential curve schematic diagram.
Fig. 8 A1 well compressibility exponential curve schematic diagram.
Specific embodiment
Compressibility is to evaluate the complexity that volume fracturing complex fracture network is formed in shale gas pressure break.Mistake of the present invention
The domestic and international shale gas compressibility evaluation method major parameter of analysis and summary has high temperature, high pressure, strong in conjunction with deep layer shale gas-bearing formation
Plastic behavior, mainly in terms of geology and engineering factor, preferred deep layer shale gas compressibility assessment parameter；Sufficiently examine
Consider the influence of stratum confining pressure and rock anisotropy to parameter, forms the calculation method of compressibility evaluation parameter；Utilize mould
Grey Incidence Analysis is pasted, the phase of the compressibility exponential curve and crack complexity index method curve of different weight combinations is analyzed
Guan Xing is established compressibility Mathematical Model of Comprehensive Evaluation, is formed deep layer page by the optimization weight combination of related coefficient maximum principle
Rock gas compressibility integrated evaluating method has the fracturing parameter optimization design that deep layer shale gas improves crack complexity and refers to
Lead meaning.
Derivation process to the method for the present invention mid-deep strata shale gas compressibility index Mathematical Model of Comprehensive Evaluation and excellent below
More property is illustrated.
Deep layer shale gas is with the intensification of buried depth, and three-dimensional stress increases, horizontal stress difference increases, rock plasticity feature increases
By force, reservoir poor compressibility, fracture extension is difficult, is unfavorable for forming complicated seam net.Therefore, deep layer shale gas compressibility is established
The fracturing parameter optimization design that evaluation method improves crack complexity to deep layer shale gas has great importance.
The selection of deep layer shale gas compressibility assessment parameter is illustrated below.
1.1 compressibility assessment parameters
Compressibility is to evaluate the complexity that volume fracturing complex fracture network is formed in shale gas pressure break.It is main at present
Compressibility evaluation method include four seed types: compressibility is evaluated according to all crisp mineral contents and rock brittleness, according to rock
Stone brittleness and fracture toughness/energy to failure evaluate compressibility, comprehensively consider quartz content, rock brittleness, intrinsic fracture development journey
Parameter evaluations compressibility such as degree, horizontal stress difference etc. use 6 kinds directly related with crack complexity from different perspectives
Evaluation parameter, i.e. brittle mineral content, clay mineral content, rock brittleness, horizontally stress difference, intrinsic fracture develop journey
Degree and fracture toughness.
Deep layer shale gas pressure break is capable of forming shearing seam, and cohesive force is that characterization reservoir fracturing forms shearing crack difficulty or ease journey
An important factor for spending, therefore, deep layer shale gas compressibility assessment parameter are brittle mineral content, clay mineral content, rock
Totally 7 kinds of stone brittleness, horizontally stress difference, fracture toughness, cohesive force and intrinsic fracture development degree.
1.2 compressibility evaluation parameter calculation methods
The influence of stratum confining pressure and rock anisotropy to parameter is fully considered, using experimental data to well log interpretation
As a result it is modified, forms the calculation method of compressibility parameter.
(1) brittle mineral (quartz) content
Quartz content can reflect crack complexity to the Beneficial Effect for improving fracturing effect.Quartz content can pass through interior
Experiment and well logging are calculated.There is certain difference between the two in comparative experiments measured data and log analysis data, discovery
Away from, therefore relational model between the two is established, log analysis data is modified, it is vertical to obtain shale gas-bearing formation quartz content
To section.
Si=-107.5953+ (0.0378578) * AC+39.3799522*DEN+0.273128*GR (1)
(2) rock mechanics brittleness index
The brittleness index of rock generally uses Young's modulus and Poisson's ratio to be described, and Young's modulus is bigger, and Poisson's ratio is got over
Small, rock brittleness is better.Rickman R et al. was proposed in 2008 to be referred to Young's modulus and Poisson's ratio COMPREHENSIVE CALCULATING brittleness
Several methods.
In formula: BI is brittleness index, dimensionless；YMSc is static Young's modulus value, 10GPa；YMBrit is after normalizing
Young's modulus value, dimensionless；PRC is static Poisson's ratio, and dimensionless, PRBrit is the Poisson's ratio after normalization, dimensionless.
Static Young's modulus and Poisson's ratio can be obtained by laboratory experiment.Due to the different values that it is measured of added confining pressure
Also different, therefore, deep layer shale gas needs to consider the influence of well depth fracture complexity, using the experimental data under zero confining pressure,
Kinetic Youngs modulus and Poisson's ratio can be calculated by log data.A well experiment in work area is measured into static rock mechanics parameters
The dynamic rock mechanics ginseng that data (under the conditions of core experiment Data Extrapolation to stratum confining pressure) and corresponding interval well-log information determine
Number data carry out linear regression (as shown in Figs. 1-2), obtain the transformational relation of work area static elastic parameter and dynamic elasticity parameter
It is as follows:
Es=0.1842Ed+41274 (5)
μs=5.7681 μd-1.1861 (6)
In formula: EsFor static modulus of elasticity；μsFor static Poisson's ratio；EdFor the dynamic modulus of elasticity；μdFor dynamic Poisson's ratio.
(3) horizontally stress difference
With stress difference coefficient or stress difference absolute value expression levels crustal stress difference, it is horizontal to depend on shale gas
The degree of correlation of crustal stress coefficient of variation and order of magnitude and crack complexity index method.Compare A, B, C well water level land stress difference
Different and crack complexity index method degree of correlation, the variation tendency and pressure-break complex exponent of horizontal stress have obvious
Negative correlation (as shown in Figure 3), therefore, using horizontally stress difference absolute value as horizontally stress difference compressibility
Evaluation index.
(4) fracture toughness
The ability for maintaining crack to extend forward after cracking initiation in fracture toughness reflection fracturing process.Fracture toughness is got over
Small, then a possibility that forming complex fracture, is bigger, on the contrary then possibility is smaller.Will research work area without longitudinally facing under the conditions of confining pressure
The Critical fracture toughness that boundary's fracture toughness experimental evaluation result and corresponding interval well-log information obtain carries out regression analysis, obtains
Fracture toughness calculation method under the conditions of the confining pressure of work area stratum.
I type (opening mode) crackle:
II type (shift type) crackle:
In formula: KICFor I type crack fracture toughness, MPam0.5；For the I type crack fracture toughness of actual measurement, MPa
m0.5；KIICFor II type crack fracture toughness, MPam0.5；For the II type crack fracture toughness of actual measurement, MPam0.5；PWFor
Stratum confining pressure, MPa.
(5) cohesive force
Cohesive force S0Reservoir fracturing can be characterized and form shearing crack complexity.B1 borehole logging tool material computation is obtained interior
Poly- power and the cohesive force of measuring are fitted, and it is as follows to obtain formula:
SOs=7.1603SOd-48.109 (7)
In formula: SOsCohesive force, MPa is calculated for well-log information；SOdFor the cohesive force of measuring, MPa.
(6) intrinsic fracture development degree
One of an important factor for intrinsic fracture is influence crack complexity, intrinsic fracture is more developed, and is more advantageously formed multiple
Miscellaneous network fracture.Intrinsic fracture is difficult to quantify, mainly by well logging and interpretation of logging data as a result, statistical research work area is natural
Fracture intensity relevant parameter.
Compressibility Mathematical Model of Comprehensive Evaluation is established below and is illustrated with verifying.
The basic mathematic model of 2.1 compressibility evaluation
Shale gas-bearing formation compressibility evaluates basic model are as follows:
The normalization of 2.2 compressibility evaluation parameters
The higher parameter of quantization degree is normalized using range transformation, it is difficult to which the parameter of quantization uses experience assignment normalizing
Change.
Quartz content, rock mechanics brittleness, intrinsic fracture development degree are positive parameter, parameter normalization value:
Clay mineral content, level two to stress difference, faulted joint toughness, cohesive strength be reverse parameter, parameter normalizing
Change value:
In formula, S is parameter normalization value, and X is parameter value, XmaxFor parameter maximum value, XminFor parameter minimum value.By
After range transformation, parameter value is 0-1, and forward and inverse be homogenized to parameter is positive parameter, and optimal value 1, most bad value is 0.
Intrinsic fracture is characterized by development degree of micro cracks in oil, and using the method for experience assignment: crack agensis is assigned a value of 0.2,
The medium development in crack is assigned a value of 0.5, and crack is developed is assigned a value of 0.8 very much, other situations are 0.2-0.5 and 0.5-0.8.
For brittle mineral content, clay mineral content, rock brittleness, horizontally stress difference, fracture toughness/fracture
6 compressibility evaluation parameters such as energy, on the basis of the compressibility parameter for studying 6 mouthfuls of area shale gas horizontal well calculates, for each
The range transformation value range (such as table 1) of compressibility parameter, establishes compressibility parameter normalization calculation method.
The compressibility parameter area of 16 mouthfuls of shale gas horizontal wells of table
2.3 crack complexity index methods (FCI)
Crack complexity index method (FCI) is defined as fracturing fracture width and length ratio, and fracturing fracture parameter, which derives from, to be split
16 sections of fracturing fracture parameters of seam monitoring, the monitoring of B2 well ground micro-seismic are shown in Table 2.
2 B2 well pressure break micro-seismic monitoring result statistical form of table
Fracturing fracture width and length ratio (Fig. 4 a) are calculated by table 2, but crack breadth length ratio is by shadows such as more shower hole counts
It rings, more rationally (Fig. 4 b) using unit liquid measure transformation SRV evaluation crack complexity；In combination with well G-function fluctuation number point
It analyses (Fig. 4 c), it is comprehensive crack complexity index method curve (Fig. 4 d) to obtain 16 sections of pressure breaks of the well.
2.4 compressibility index Mathematical Model of Comprehensive Evaluation
(1) weight distribution alternative
For convenience of calculation, by brittle mineral content, clay mineral content, rock brittleness, horizontally stress difference, disconnected
It splits toughness, cohesive force and intrinsic fracture development etc. and is denoted as parameter 1-7 respectively.Consider intrinsic fracture development degree (parameter 7) counterincision
Seam complexity is affected, but its quantification difficult, and taking its weight coefficient is average value 0.143；Remaining 6 parameter is pressed respectively
Weighted average distribution emphasizes single parameter, emphasizes 2 parameters, emphasizes 3 parameters etc. to be divided into 4 class, 42 sets of weight distribution sides
Case is shown in Table 3.3 shale gas compressibility parameters weighting of table distributes alternative
(2) compressibility index Mathematical Model of Comprehensive Evaluation
The distribution optimization of compressibility parameters weighting uses crack complex exponent correlation analysis, that is, analyzes different weight groups
The correlation of the compressibility exponential curve of conjunction and crack complexity index method curve optimizes weight group by related coefficient maximum principle
It closes, forms the compressibility integrated evaluating method of optimization.
42 sets of compressibility index profiles (as shown in Figure 5) of B2 well are calculated using above-mentioned weight distribution scheme, and respectively
Related coefficient calculating (as shown in Figure 6) is carried out with comprehensive crack complexity index method section, the results showed that, the 36th set of weight distribution
Scheme related coefficient highest (0.48).
To sum up, deep layer shale gas compressibility index Mathematical Model of Comprehensive Evaluation are as follows:
In formula,
Δ σ is horizontally stress difference absolute value, unit MPa,
SiFor quartz content, unit %,
YMScFor static Young's modulus value, unit 10GPa,
PRCFor static Poisson's ratio, PRC parameter dimensionless,
SHRock brittleness, SHParameter dimensionless,
KICFor I type crack fracture toughness, unit MPam0.5,
KIICFor II type crack fracture toughness, unit MPam0.5,
S0For cohesive force, unit MPa,
The evaluation of deep layer shale gas compressibility is illustrated below
Compressibility parameter evaluation, knot are carried out using deep layer shale gas compressibility index Mathematical Model of Comprehensive Evaluation (formula 12)
Fruit such as table 4.
46 mouthfuls of water horizontal well compressibility parameter evaluation data of table
According to shale gas compressibility index integrated evaluating method, 6 mouthfuls of water horizontal well compressibility index profiles are established, see Fig. 7-
8.By size a possibility that forming complex fracture, work area compressibility index can be divided into 3 grades, I grades of compressibility indexes are big
In 0.55, crack complexity possibility is larger；II grades of compressibility indexes are 0.4-0.55, and crack complexity possibility is general；III level
For compressibility index less than 0.4, crack complexity possibility is smaller, and the average compressibility index of 6 mouthfuls of wells and classification are shown in Table 5.
56 mouthfuls of water horizontal well compressibility index contrasts of table
The beneficial effects of the present invention are:
(1) 7 parameter combinations of preferred deep layer shale gas compressibility overall merit: brittle mineral content, clay mineral contain
Amount, rock brittleness, horizontally stress difference, fracture toughness, cohesive force and intrinsic fracture development degree, being capable of system statement depth
Layer shale gas-bearing formation compressibility feature.
(2) fuzzy gray correlation theroy analysis method is utilized, compressibility exponential curve and the crack of different weight combinations have been obtained
The correlation of complexity index method curve, by the optimization weight combination of related coefficient maximum principle, foundation obtains compressibility overall merit
The Development Practice at mathematical model, calculated result and scene is coincide.
Claims (1)
1. a kind of deep layer shale gas compressibility evaluation method based on fuzzy gray correlation theroy method, includes the following steps,
S1: brittle mineral content parameter data, clay mineral content supplemental characteristic, rock brittleness supplemental characteristic, horizontally are obtained
Stress difference supplemental characteristic, Fracture Toughness Parameter data, cohesive force supplemental characteristic and intrinsic fracture develop supplemental characteristic；
S2: compressibility quantized value is obtained using following formula
In formula,
Δ σ is horizontally stress difference absolute value, unit MPa,
SiFor quartz content, unit %,
YMScFor static Young's modulus value, unit 10GPa,
PRCFor static Poisson's ratio, PRCParameter dimensionless,
SHRock brittleness, SHParameter dimensionless,
KICFor I type crack fracture toughness, unit MPam0.5,
KIICFor II type crack fracture toughness, unit MPam0.5,
S0For cohesive force, unit MPa,
SFIntrinsic fracture development degree, SFParameter dimensionless.
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| CN111271055B (en) * | 2020-02-26 | 2021-10-08 | 中国石油大学(北京) | Method, device and equipment for determining brittleness index of shale |
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