CN107066749A - A kind of method that quantitative assessment Seam Roof And Floor covers performance - Google Patents

A kind of method that quantitative assessment Seam Roof And Floor covers performance Download PDF

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CN107066749A
CN107066749A CN201710279303.5A CN201710279303A CN107066749A CN 107066749 A CN107066749 A CN 107066749A CN 201710279303 A CN201710279303 A CN 201710279303A CN 107066749 A CN107066749 A CN 107066749A
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刘之的
赵靖舟
吴伟涛
孙家兴
张鹏
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Xian Shiyou University
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Abstract

A kind of method that quantitative assessment Seam Roof And Floor covers performance, calculates Seam Roof And Floor lithology composite index;Calculate the permeability of Seam Roof And Floor;Calculate the replacement pressure of Seam Roof And Floor;Calculate the fracture development index of Seam Roof And Floor;Calculate the coefficient of horizontal pressure of Seam Roof And Floor;Based on Seam Roof And Floor lithology composite index, permeability, replacement pressure, fracture development index and coefficient of horizontal pressure, establish Seam Roof And Floor capping Performance evaluation criterion, Seam Roof And Floor capping performance is divided with this evaluation criterion, will be that coal bed gas Efficient Exploration and exploitation provide technical support.

Description

A kind of method that quantitative assessment Seam Roof And Floor covers performance
Technical field
The invention belongs to the Quantitative Evaluation with Well Logging technology during coal-bed gas exploitation, more particularly to a kind of quantitative assessment coal seam The method that roof and floor covers performance.
Background technology
In CBM exploration and development, in order to verify coal bed gas and develop, it is necessary to assess the capping of Seam Roof And Floor Performance.In general, it is argillite that coal seam, which is directly pushed up, and during without crack, then permeability is low, it is good to cover performance;If straight It is the good sandstone of permeance property to connect top, and during containing crack, then permeability is high, cover poor performance.
Existing Seam Roof And Floor covers method of evaluating performance, is evaluated more according to the lithologic character of roof and floor, some are commented Valency method have also contemplated that the influence of permeability and replacement pressure to capping performance.In fact, the capping performance of Seam Roof And Floor is not It is only relevant with lithologic character, permeability and replacement pressure, and thickness, fracture development index and side pressure with adjoining rock Coefficient is relevant.However, existing patent does not account for the thickness of adjoining rock, fracture development index and coefficient of horizontal pressure to coal Layer roof and floor covers the influence of performance.In addition, in existing Seam Roof And Floor capping performance evaluation, coal seam is not made full use of even Mud logging data calculates Seam Roof And Floor lithology composite index, permeability, replacement pressure, fracture development index and side pressure system Number, and then the capping performance come to Seam Roof And Floor carries out quantitative assessment, this makes troubles to cbm exploration and exploitation.
The content of the invention
In order to overcome the shortcomings of above-mentioned existing method, it is an object of the invention to provide a kind of quantitative assessment Seam Roof And Floor The method for covering performance.Based on Seam Roof And Floor lithology composite index, permeability, replacement pressure, fracture development index and side pressure Coefficient, is established Seam Roof And Floor capping Performance evaluation criterion, Seam Roof And Floor capping performance is drawn with this evaluation criterion Point, will be that coal bed gas Efficient Exploration and exploitation provide technical support.
In order to achieve the above object, the technical scheme is that:
A kind of method that quantitative assessment Seam Roof And Floor covers performance, comprises the following steps:
Step 1: calculating Seam Roof And Floor lithology composite index:Asked using tri-porosity logging based on equation (1)~(3) M, N, P parameter for reflecting lithology are negated, is based on using gamma ray log after the relative natural gamma of equation (4) calculating, Ran Houli Lithology factor R is calculated with equation (5)g;Correlation analysis is carried out to lithology factor and shale content, and then sets up equation (6) institute The regional experience model shown;Using shale content and chiltern ratio as the parameter for weighing lithologic confining performance, and in view of top bottom Influence of the plate depth of stratum to closed performance, then constructs the Seam Roof And Floor lithology composite index shown in equation (7) and calculates Model, it is specific as follows:
In formula:M, N, P are the parameter for reflecting lithology, dimensionless;Δtma、ΔtfRespectively Seam Roof And Floor skeleton, stream The interval transit time of body, μ s/ft;ρma、ρfThe respectively density value of Seam Roof And Floor skeleton, fluid, g/cm3;ΦNma、ΦNfRespectively For the compensated neutron value of Seam Roof And Floor skeleton, fluid, %;Δ GR is relative natural gamma, dimensionless;GR、GRmax、GRminPoint Wei not computation layer point, pure shale, the natural gamma value of clean sandstone, API;RgFor lithology factor, dimensionless;VshContain for shale Amount, %;A, b are regression coefficient;IlFor Seam Roof And Floor lithology composite index, dimensionless;φ is the hole of Seam Roof And Floor Degree, %;miThe point distance away from coal seam, m are calculated for adjoining rock.
Step 2: calculating the permeability of Seam Roof And Floor:When shale content is less than 8%, the permeameter of equation (8) is utilized Calculate the permeability that model calculates roof and floor;But when shale content is more than 8%, influence of the shale content to permeability significantly increases Greatly, this parameter of introducing shale content is needed when building permeability log interpretation model, using porosity as independent variable, permeability is Dependent variable, carries out least square method regression fit, obtains calculation model of permeability shown in equation (9);
When the shale content of roof and floor rock is less than 8%:
K=0.0036e0.814·φ (8)
When the shale content of roof and floor rock is more than 8%:
K=0.0209 φ -0.0378Log (Vsh)+0.0794 (9)
In formula:K is the permeability of roof and floor, mD;Other specification physical significance is the same.
Step 3: calculating the replacement pressure of Seam Roof And Floor:Roof and floor replacement pressure contains with buried depth, interval transit time and shale Amount has preferable correlation, then builds the replacement pressure computation model shown in equation (10),
P=cZ × Vsh+d·Δt+e (10)
In formula:P is replacement pressure, and Z is the buried depth of roof and floor;Δ t is the interval transit time of roof and floor, μ s/ft;C, d, e are Regression coefficient, dimensionless;Other specification physical significance is the same.
Step 4: calculating the fracture development index of Seam Roof And Floor:The Poisson's ratio calculated using well-log information, builds formula (11) the fracture coefficient accounting equation shown in, and utilize the stability coefficient of equation (12) calculating roof and floor, and then the side of establishing Seam Roof And Floor fracture development index computation model shown in journey (13),
Rg=Kb×G (12)
In formula:RfThe roof and floor fracture coefficient calculated for Poisson's ratio, dimensionless;μ is the Poisson's ratio of coal petrography, dimensionless;RgFor The stability coefficient of roof and floor, dimensionless;KbFor bulk modulus, MPa;G is shear modulus, MPa;IfSent out for the crack of roof and floor Educate index, dimensionless;Δt、ΔtsThe respectively compressional wave and shear wave slowness of roof and floor, μ s/ft;ρbFor the density value of roof and floor, g/ cm3;VP、VsFor the P- and S-wave velocity of roof and floor, m/s;α is Biot coefficients, dimensionless;Other specification physical significance is the same.
Step 5: calculating the coefficient of horizontal pressure of Seam Roof And Floor:Coefficient of horizontal pressure is used to reflection horizontal stress and vertical stress Between relation, coefficient of horizontal pressure λ represents the ratio between average value of two horizontal stresses and vertical stress,
In formula:λ is coefficient of horizontal pressure, dimensionless;σHFor maximum horizontal principal stress, MPa;σhFor minimum horizontal principal stress, MPa; σvFor vertical crustal stress, MPa;PpFor pore pressure, MPa;E is Young's modulus, MPa;εHFor the structure of maximum horizontal stress direction Make stress coefficient, dimensionless;εhFor the tectonic stress coefficient of minimum level stress direction, dimensionless;ρoFor no density log The rock stratum average density value of depth segment, g/cm3;H0For the initial depth of density log, m;H is the depth of calculating point, m;Other ginsengs Number physical significance is the same.
Step 6: determining Seam Roof And Floor capping Performance evaluation criterion:Based on the scheme in step one~step 5, utilize Well-log information enters to the lithology composite index of its Seam Roof And Floor, permeability, replacement pressure, fracture development index and coefficient of horizontal pressure Calculating is gone, and normalized has been carried out to lithology composite index and fracture development index, according to its result of calculation, in system On the basis of the actual exploration and development data of contrast, after the requirement with reference to conventional oil natural gas reservoirs Cap Assessment, and consider Capping performance to roof and floor is directly proportional to lithology composite index, replacement pressure and coefficient of horizontal pressure, refers to permeability, fracture development Number is inversely proportional, and finally gives the Seam Roof And Floor capping performance grading standard shown in table 1:
The Seam Roof And Floor of table 1 capping performance opinion rating divides table
Step 7: quantitative assessment Seam Roof And Floor covers performance:Based on each evaluation of above-mentioned Seam Roof And Floor capping performance Index computation model, on the basis of Directorate Of Organization reason interpretive program, calculates lithology composite index, permeability, replacement pressure, crack Developmental index and coefficient of horizontal pressure, and according to evaluation criterion shown in step 6, it is determined that the capping performance of evaluated Seam Roof And Floor Type.
The present invention covers performance for Seam Roof And Floor first, it is proposed that a kind of quantitative assessment Seam Roof And Floor covers performance Method, well-log information can be effectively utilized Seam Roof And Floor capping five indexs of performance are calculated, to being coal seam Gas exploration exploitation provides borehole logging technical support.The invention had both taken into full account Seam Roof And Floor lithologic character, permeability pair The influence of performance is covered, roof and floor has been taken into account again and has calculated distance of the point away from coal seam, Seam Roof And Floor replacement pressure, fracture development journey The influence of degree and coefficient of horizontal pressure, Seam Roof And Floor capping performance and the coal bed gas evaluated covers actual geological condition and more kissed Close.
Based on the analysis that the parameters such as larger lithologic character, the permeability of performance impact are covered to Seam Roof And Floor, and fully Also there is larger shadow to capping performance in view of the thickness of adjoining rock, replacement pressure, development degree of micro cracks in oil and coefficient of horizontal pressure Ring, in network analysis lithology composite index, permeability, replacement pressure, fracture development index and coefficient of horizontal pressure and Seam Roof And Floor Cover after the internal relation between performance, establish Seam Roof And Floor capping Performance evaluation criterion.The evaluation criterion is from multiple sides Face, which has considered, covers five larger indexs of performance impact to Seam Roof And Floor, and therefore, the evaluation method more can be more accurate The capping performance of ground quantitatively characterizing Seam Roof And Floor, and then technical support can be provided for the high-quality and efficient exploitation of coal bed gas.
Brief description of the drawings
Fig. 1 is the quantitative assessment Seam Roof And Floor capping performance method flow diagram in the present invention.
Fig. 2 is the Seam Roof And Floor porosity in the present invention and permeability graph of a relation.
Fig. 3 is the Seam Roof And Floor capping performance quantitative assessment result map in the present invention.
Embodiment
Technical scheme is described in detail below in conjunction with the accompanying drawings.
A kind of reference picture 1, quantitative assessment Seam Roof And Floor covers the evaluation method of performance, comprises the following steps:
Step 1: calculating Seam Roof And Floor lithology composite index:Asked using tri-porosity logging based on equation (1)~(3) M, N, P parameter for reflecting lithology are negated, is based on using gamma ray log after the relative natural gamma of equation (4) calculating, Ran Houli Lithology factor R is calculated with equation (5)g;Correlation analysis is carried out to lithology factor and shale content, and then sets up equation (6) institute The regional experience model shown;Using shale content and chiltern ratio as the parameter for weighing lithologic confining performance, and in view of top bottom Influence of the plate depth of stratum to closed performance, the roof and floor nearer apart from coal seam, the influence to capping performance is bigger, i.e. weight coefficient It is bigger.According to coal bed gas knowhow, influence of the rock stratum to covering performance pushed up away from coal seam in the range of the 5m of bottom is larger.Due to well logging Data are 1 meter of collection, 8 data points, are that this weighted number strong point is set to 40.Accordingly, the coal seam top bottom shown in equation (7) is constructed Slate composite index computation model, it is specific as follows:
In formula:M, N, P are the parameter for reflecting lithology, dimensionless;Δtma、ΔtfRespectively Seam Roof And Floor skeleton, stream The interval transit time of body, μ s/ft;ρma、ρfThe respectively density value of Seam Roof And Floor skeleton, fluid, g/cm3;ΦNma、ΦNfRespectively For the compensated neutron value of Seam Roof And Floor skeleton, fluid, %;Δ GR is relative natural gamma, dimensionless;GR、GRmax、GRminPoint Wei not computation layer point, pure shale, the natural gamma value of clean sandstone, API;RgFor lithology factor, dimensionless;VshContain for shale Amount, %;A, b are regression coefficient;IlFor Seam Roof And Floor lithology composite index, dimensionless;φ is the hole of Seam Roof And Floor Degree, %;miThe point distance away from coal seam, m are calculated for adjoining rock.
Step 2: calculating the permeability of Seam Roof And Floor:Practical production experience shows, permeability and porosity correlation compared with It is good, but the shale content of rock stratum also influences larger to permeability.Permeability shows with porosity, shale content correlation analysis, When shale content is less than 8%, reference picture 2 can accurately calculate the permeability of roof and floor using porosity;But when shale contains When amount is more than 8%, influence of the shale content to permeability is significantly increased, and needs to introduce mud when building permeability log interpretation model This parameter of matter content.Using porosity as independent variable, permeability is dependent variable, carries out least square method regression fit, just can obtain To calculation model of permeability shown in equation (8);Similarly, it just can obtain calculation model of permeability shown in equation (9).
When the shale content of roof and floor rock is less than 8%:
K=0.0036e0.814·φ (8)
When the shale content of roof and floor rock is more than 8%:
K=0.0209 φ -0.0378Log (Vsh)+0.0794 (9)
In formula:K is the permeability of roof and floor, mD;Other specification physical significance is the same.
Step 3: calculating the replacement pressure of Seam Roof And Floor:Cap Assessment experience is disclosed, the replacement pressure and shale of rock stratum Content good relationship.Due to increasing with buried depth, compaction's increase of cap rock, permeability is deteriorated, interval transit time reduces, and is This utilizes buried depth, three parameters of interval transit time and shale content when building adjoining rock replacement pressure computation model.Build Replacement pressure computation model such as equation (10) shown in.
P=cZ × Vsh+d·Δt+e (10)
In formula:P is replacement pressure, and Z is the buried depth of roof and floor;Δ t is the interval transit time of roof and floor, μ s/ft;C, d, e are Regression coefficient, dimensionless;Other specification physical significance is the same.
Step 4: calculating the fracture development index of Seam Roof And Floor:Crushing rock formation, Poisson's ratio is big;Rock stratum is complete, Poisson's ratio It is small.Accordingly, the Poisson's ratio calculated using well-log information, builds the fracture coefficient accounting equation shown in formula (11).Rock stability It is good, it is less susceptible to produce crack.Then, development degree of micro cracks in oil is characterized using the Roof And Floor Stability coefficient of equation (12) calculating A parameter.The fracture coefficient that organically blends and stability coefficient, establish the Seam Roof And Floor crack hair shown in equation (13) Educate index computation model.
Rg=Kb×G (12)
In formula:RfThe roof and floor fracture coefficient calculated for Poisson's ratio, dimensionless;μ is the Poisson's ratio of coal petrography, dimensionless;RgFor The stability coefficient of roof and floor, dimensionless;KbFor bulk modulus, MPa;G is shear modulus, MPa;IfSent out for the crack of roof and floor Educate index, dimensionless;Δt、ΔtsThe respectively compressional wave and shear wave slowness of roof and floor, μ s/ft;ρbFor the density value of roof and floor, g/ cm3;VP、VsFor the P- and S-wave velocity of roof and floor, m/s;α is Biot coefficients, dimensionless;Other specification physical significance is the same.
Step 5: calculating the coefficient of horizontal pressure of Seam Roof And Floor:As roof and floor buried depth increases, coefficient of horizontal pressure increase.Change speech It, buried depth is shallower, more loose, and is easy to develop the high osmosis rock stratum in crack, and lateral pressure is smaller.Accordingly, side pressure is utilized Coefficient come characterize Seam Roof And Floor cover performance a parameter.Equation (17) is lateral coefficient computation model.
In formula:λ is coefficient of horizontal pressure, dimensionless;σHFor maximum horizontal principal stress, MPa;σhFor minimum horizontal principal stress, MPa; σvFor vertical crustal stress, MPa;PpFor pore pressure, MPa;E is Young's modulus, MPa;εHFor the structure of maximum horizontal stress direction Make stress coefficient, dimensionless;εhFor the tectonic stress coefficient of minimum level stress direction, dimensionless;ρoFor no density log The rock stratum average density value of depth segment, g/cm3;H0For the initial depth of density log, m;H is the depth of calculating point, m;Other ginsengs Number physical significance is the same.
Step 6: determining Seam Roof And Floor capping Performance evaluation criterion:Based on the scheme in step one~step 5, utilize Well-log information enters to the lithology composite index of its Seam Roof And Floor, permeability, replacement pressure, fracture development index and coefficient of horizontal pressure Calculating is gone, and normalized has been carried out to lithology composite index and fracture development index.Accordingly, the present invention is according to its calculating As a result, on the basis of system contrasts actual exploration and development data, with reference to the requirement of conventional oil natural gas reservoirs Cap Assessment Afterwards, and in view of the capping performance of roof and floor it is directly proportional to lithology composite index, replacement pressure and coefficient of horizontal pressure, with infiltration Rate, fracture development index are inversely proportional, and finally give the Seam Roof And Floor capping performance grading standard shown in table 1:
The Seam Roof And Floor of table 1 capping performance opinion rating divides table
Step 7: quantitative assessment Seam Roof And Floor covers performance:Based on each evaluation of above-mentioned Seam Roof And Floor capping performance Index computation model, on the basis of Directorate Of Organization reason interpretive program, calculates lithology composite index, permeability, replacement pressure, crack Developmental index and coefficient of horizontal pressure, and according to evaluation criterion shown in scheme six, it is determined that the capping performance of evaluated Seam Roof And Floor Type.
The present invention is tried out in actual coal bed gas field.The application of performance is covered in the quantitative assessment Seam Roof And Floor of X wells In, reference picture 3,742.2~747.1m well sections are coal seam, and the direct rimrock of the well section is mud stone, and thickness is 6m, utilizes the present invention The lithology composite index I that method is calculatedlDistribution is 0.67~0.86, and permeability K distributions are 0.001~0.005, row It is 8~11.5, fracture development index I to drive pressure PfFor 0.2~0.4, coefficient of horizontal pressure λ is 0.8~0.86, Seam Roof And Floor capping Performance synthesis is evaluated as stronger.742.2~747.1m of well coal seams actual measurement air content dominant frequency distribution is 12.71~ 15.47m3/ t, average value is 13.21m3/ t, air content is higher.This also absolutely proves, the good wellblock of closed performance, coal seam gassiness Amount is big, is shown to be Enriching Coalbed Methane wellblock.Because the capping performance of Seam Roof And Floor is stronger, the coal bed gas of generation is stored in substantially In coal seam reservoirs, do not occur the situation that coal bed gas spills into adjoining rock substantially.This has also further confirmed what this research was drawn Roof and floor sealing ability evaluation result is more coincide with actual geologic feature.
This method had both taken into full account the influence of Seam Roof And Floor lithologic character, permeability to capping performance, took into account again Roof and floor calculates the influence of distance of the point away from coal seam, Seam Roof And Floor replacement pressure, development degree of micro cracks in oil and coefficient of horizontal pressure, is commented Seam Roof And Floor capping performance and the coal bed gas of valency cover actual geological condition and more coincide.Each evaluation index in this method It can be asked for from coalfield borehole logging data, and almost all of coalfield is respectively provided with substantial amounts of borehole logging data.Therefore, Seam Roof And Floor of the present invention capping performance quantitative evaluation method has good popularizing application prospect and value.
It will be understood by those of skill in the art that because well-log information is easily waited borehole environment to be influenceed by expanding, in order to more The capping performance of Seam Roof And Floor is accurately evaluated, it is very necessary, coal seam to carry out the correction method of surroundings effecting to its well-log information Five evaluation indexes such as roof and floor lithologic composite index, permeability, replacement pressure, fracture development index and coefficient of horizontal pressure calculate compared with To be accurate, Seam Roof And Floor capping performance quantitative assessment result is just with higher precision.

Claims (5)

1. a kind of method that quantitative assessment Seam Roof And Floor covers performance, it is characterised in that comprise the following steps:
Step 1: calculating Seam Roof And Floor lithology composite index:Ask for reflecting M, N, P ginseng of lithology using tri-porosity logging Number, after the relative natural gamma of gamma ray log calculating, then calculates lithology factor Rg;Lithology factor and shale are contained Amount carries out correlation analysis, and then sets up regional experience model;It regard shale content and chiltern ratio as measurement lithologic confining The parameter of energy, and in view of influence of the adjoining rock thickness to closed performance, then build Seam Roof And Floor lithology synthesis and refers to Number computation model;
Step 2: calculating the permeability of Seam Roof And Floor:When shale content is less than 8%, the computing permeability mould of equation (8) is utilized Type calculates the permeability of roof and floor;But when shale content is more than 8%, influence of the shale content to permeability is significantly increased, structure This parameter of introducing shale content is needed when building permeability log interpretation model, using porosity as independent variable, permeability is because becoming Amount, carries out least square method regression fit, obtains calculation model of permeability shown in equation (9);
When the shale content of roof and floor rock is less than 8%:
K=0.0036e0.814·φ (8)
When the shale content of roof and floor rock is more than 8%:
K=0.0209 φ -0.0378Log (Vsh)+0.0794 (9)
In formula:K is the permeability of roof and floor, mD;Other specification physical significance is the same.
Step 3: calculating the replacement pressure of Seam Roof And Floor:Roof and floor replacement pressure has with buried depth, interval transit time and shale content Preferable correlation, then builds the replacement pressure computation model shown in equation (10),
P=cZ × Vsh+d·Δt+e (10)
In formula:P is replacement pressure, and Z is the buried depth of roof and floor;Δ t is the interval transit time of roof and floor, μ s/ft;C, d, e are recurrence Coefficient, dimensionless;Other specification physical significance is the same.
Step 4: calculating the fracture development index of Seam Roof And Floor:The Poisson's ratio calculated using well-log information, builds fracture coefficient Accounting equation, calculates the stability coefficient of roof and floor, and then sets up Seam Roof And Floor fracture development index computation model;
Step 5: calculating the coefficient of horizontal pressure of Seam Roof And Floor;
Step 6: determining Seam Roof And Floor capping Performance evaluation criterion:Based on the scheme in step one~step 5, well logging is utilized Data is carried out to the lithology composite index of its Seam Roof And Floor, permeability, replacement pressure, fracture development index and coefficient of horizontal pressure Calculate, and normalized has been carried out to lithology composite index and fracture development index, according to its result of calculation, in system contrast On the basis of actual exploration and development data, after the requirement with reference to conventional oil natural gas reservoirs Cap Assessment, and in view of top The capping performance of bottom plate is directly proportional to lithology composite index, replacement pressure and coefficient of horizontal pressure, with permeability, fracture development index into Inverse ratio, finally provides Seam Roof And Floor capping performance grading standard;
Step 7: quantitative assessment Seam Roof And Floor covers performance:Based on each evaluation index of above-mentioned Seam Roof And Floor capping performance Computation model, on the basis of Directorate Of Organization reason interpretive program, calculates lithology composite index, permeability, replacement pressure, fracture development Index and coefficient of horizontal pressure, and according to evaluation criterion shown in step 6, it is determined that the capping type of performance of evaluated Seam Roof And Floor.
2. the method that a kind of quantitative assessment Seam Roof And Floor according to claim 1 covers performance, it is characterised in that described The step of one be specially:M, N, P parameter that lithology is asked for reflecting in equation (1)~(3) are based on using tri-porosity logging, using certainly Gemma ray logging is based on after the relative natural gamma of equation (4) calculating, then utilizes equation (5) to calculate lithology factor Rg;To rock Property coefficient and shale content carry out correlation analysis, and then set up the regional experience model shown in equation (6);By shale content with Chiltern ratio considers influence of the adjoining rock thickness to closed performance as the parameter for weighing lithologic confining performance, in It is to construct the Seam Roof And Floor lithology composite index computation model shown in equation (7), it is specific as follows:
<mrow> <mi>M</mi> <mo>=</mo> <mrow> <mo>(</mo> <mfrac> <mrow> <msub> <mi>&amp;Delta;t</mi> <mi>f</mi> </msub> <mo>-</mo> <msub> <mi>&amp;Delta;t</mi> <msub> <mi>m</mi> <mi>a</mi> </msub> </msub> </mrow> <mrow> <msub> <mi>&amp;rho;</mi> <mrow> <mi>m</mi> <mi>a</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&amp;rho;</mi> <mi>f</mi> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>&amp;times;</mo> <mn>0.01</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>N</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mi>&amp;Phi;</mi> <mrow> <mi>N</mi> <mi>f</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&amp;Phi;</mi> <mrow> <mi>N</mi> <mi>m</mi> <mi>a</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>&amp;rho;</mi> <mrow> <mi>m</mi> <mi>a</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&amp;rho;</mi> <mi>f</mi> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>P</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mi>&amp;Phi;</mi> <mrow> <mi>N</mi> <mi>f</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&amp;Phi;</mi> <mrow> <mi>N</mi> <mi>m</mi> <mi>a</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>&amp;Delta;t</mi> <mi>f</mi> </msub> <mo>-</mo> <msub> <mi>&amp;Delta;t</mi> <msub> <mi>m</mi> <mi>a</mi> </msub> </msub> </mrow> </mfrac> <mo>&amp;times;</mo> <mn>100</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>&amp;Delta;</mi> <mi>G</mi> <mi>R</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mi>GR</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <mi>G</mi> <mi>R</mi> </mrow> <mrow> <msub> <mi>GR</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>GR</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>R</mi> <mi>g</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msup> <mi>P</mi> <mn>2</mn> </msup> <mo>&amp;times;</mo> <mi>&amp;Delta;</mi> <mi>G</mi> <mi>R</mi> </mrow> <mrow> <mi>M</mi> <mo>&amp;times;</mo> <mi>N</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>V</mi> <mrow> <mi>s</mi> <mi>h</mi> </mrow> </msub> <mo>=</mo> <msup> <mi>e</mi> <mrow> <mi>a</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>R</mi> <mi>g</mi> </msub> <mo>+</mo> <mi>b</mi> </mrow> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>I</mi> <mi>l</mi> </msub> <mo>=</mo> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mn>40</mn> </msubsup> <mfrac> <msub> <mi>V</mi> <mrow> <mi>s</mi> <mi>h</mi> </mrow> </msub> <mrow> <mo>(</mo> <mn>100</mn> <mo>-</mo> <msub> <mi>V</mi> <mrow> <mi>s</mi> <mi>h</mi> </mrow> </msub> <mo>-</mo> <mi>&amp;phi;</mi> <mo>)</mo> <mo>&amp;times;</mo> <msub> <mi>m</mi> <mi>i</mi> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
In formula:M, N, P are the parameter for reflecting lithology, dimensionless;Δtma、ΔtfRespectively Seam Roof And Floor skeleton, fluid Interval transit time, μ s/ft;ρma、ρfThe respectively density value of Seam Roof And Floor skeleton, fluid, g/cm3;ΦNma、ΦNfRespectively coal Layer roof and floor skeleton, the compensated neutron value of fluid, %;Δ GR is relative natural gamma, dimensionless;GR、GRmax、GRminRespectively Computation layer point, pure shale, the natural gamma value of clean sandstone, API;RgFor lithology factor, dimensionless;VshFor shale content, %, a, B is regression coefficient;IlFor Seam Roof And Floor lithology composite index, dimensionless;φ is the porosity of Seam Roof And Floor, %;miFor top Floor strata calculates the point distance away from coal seam, m.
3. the method that a kind of quantitative assessment Seam Roof And Floor according to claim 1 covers performance, it is characterised in that described The step of four be specially:The Poisson's ratio calculated using well-log information, builds the fracture coefficient accounting equation shown in formula (11), and profit The stability coefficient of roof and floor is calculated with equation (12), and then the Seam Roof And Floor fracture development established shown in equation (13) refers to Number computation model,
<mrow> <msub> <mi>R</mi> <mi>f</mi> </msub> <mo>=</mo> <mfrac> <mi>&amp;mu;</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi>&amp;mu;</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
Rg=Kb×G (12)
<mrow> <msub> <mi>I</mi> <mi>f</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>R</mi> <mi>f</mi> </msub> <msub> <mi>R</mi> <mi>g</mi> </msub> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>13</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>&amp;mu;</mi> <mo>=</mo> <mfrac> <mrow> <msubsup> <mi>&amp;Delta;t</mi> <mi>s</mi> <mn>2</mn> </msubsup> <mo>-</mo> <mn>2</mn> <msup> <mi>&amp;Delta;t</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <msubsup> <mi>&amp;Delta;t</mi> <mi>s</mi> <mn>2</mn> </msubsup> <mo>-</mo> <msup> <mi>&amp;Delta;t</mi> <mn>2</mn> </msup> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>14</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>K</mi> <mi>b</mi> </msub> <mo>=</mo> <msub> <mi>&amp;rho;</mi> <mi>b</mi> </msub> <msup> <msub> <mi>V</mi> <mi>P</mi> </msub> <mn>2</mn> </msup> <mo>-</mo> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> <msub> <mi>&amp;rho;</mi> <mi>b</mi> </msub> <msup> <msub> <mi>V</mi> <mi>s</mi> </msub> <mn>2</mn> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>15</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>G</mi> <mo>=</mo> <msub> <mi>&amp;rho;</mi> <mi>b</mi> </msub> <mo>&amp;times;</mo> <mfrac> <mi>&amp;alpha;</mi> <mrow> <msub> <mi>&amp;Delta;t</mi> <mi>s</mi> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>16</mn> <mo>)</mo> </mrow> </mrow>
In formula:RfThe roof and floor fracture coefficient calculated for Poisson's ratio, dimensionless;μ is the Poisson's ratio of coal petrography, dimensionless;RgFor top bottom The stability coefficient of plate, dimensionless;KbFor bulk modulus, MPa;G is shear modulus, MPa;IfRefer to for the fracture development of roof and floor Number, dimensionless;Δt、ΔtsThe respectively compressional wave and shear wave slowness of roof and floor, μ s/ft;ρbFor the density value of roof and floor, g/cm3; VP、VsFor the P- and S-wave velocity of roof and floor, m/s;α is Biot coefficients, dimensionless.
4. the method that a kind of quantitative assessment Seam Roof And Floor according to claim 1 covers performance, it is characterised in that described The step of five be specially:
Coefficient of horizontal pressure is used to the relation reflected between horizontal stress and vertical stress, and coefficient of horizontal pressure λ represents two horizontal stresses The ratio between average value and vertical stress,
<mrow> <mi>&amp;lambda;</mi> <mo>=</mo> <mfrac> <mrow> <mo>(</mo> <msub> <mi>&amp;sigma;</mi> <mi>H</mi> </msub> <mo>+</mo> <msub> <mi>&amp;sigma;</mi> <mi>h</mi> </msub> <mo>)</mo> <mo>/</mo> <mn>2</mn> </mrow> <msub> <mi>&amp;sigma;</mi> <mi>v</mi> </msub> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>17</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>&amp;sigma;</mi> <mi>H</mi> </msub> <mo>=</mo> <mfrac> <mi>&amp;mu;</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi>&amp;mu;</mi> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>&amp;sigma;</mi> <mi>v</mi> </msub> <mo>-</mo> <msub> <mi>&amp;alpha;P</mi> <mi>p</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mi>E</mi> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mi>&amp;mu;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <msub> <mi>&amp;epsiv;</mi> <mi>H</mi> </msub> <mo>+</mo> <mfrac> <mrow> <mi>E</mi> <mo>&amp;CenterDot;</mo> <mi>&amp;mu;</mi> </mrow> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mi>&amp;mu;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <msub> <mi>&amp;epsiv;</mi> <mi>h</mi> </msub> <mo>+</mo> <msub> <mi>&amp;alpha;P</mi> <mi>p</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>18</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>&amp;sigma;</mi> <mi>h</mi> </msub> <mo>=</mo> <mfrac> <mi>&amp;mu;</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi>&amp;mu;</mi> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>&amp;sigma;</mi> <mi>v</mi> </msub> <mo>-</mo> <msub> <mi>&amp;alpha;P</mi> <mi>p</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mi>E</mi> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mi>&amp;mu;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <msub> <mi>&amp;epsiv;</mi> <mi>h</mi> </msub> <mo>+</mo> <mfrac> <mrow> <mi>E</mi> <mo>&amp;CenterDot;</mo> <mi>&amp;mu;</mi> </mrow> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mi>&amp;mu;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <msub> <mi>&amp;epsiv;</mi> <mi>H</mi> </msub> <mo>+</mo> <msub> <mi>&amp;alpha;P</mi> <mi>p</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>19</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>&amp;sigma;</mi> <mi>v</mi> </msub> <mo>=</mo> <mn>0.00980665</mn> <mo>&amp;times;</mo> <mrow> <mo>(</mo> <msub> <mi>&amp;rho;</mi> <mi>o</mi> </msub> <mo>&amp;times;</mo> <msub> <mi>H</mi> <mi>o</mi> </msub> <mo>+</mo> <munderover> <mo>&amp;Integral;</mo> <msub> <mi>H</mi> <mn>0</mn> </msub> <mi>H</mi> </munderover> <msub> <mi>&amp;rho;</mi> <mi>b</mi> </msub> <mi>d</mi> <mi>H</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>20</mn> <mo>)</mo> </mrow> </mrow>
In formula:λ is coefficient of horizontal pressure, dimensionless;σHFor maximum horizontal principal stress, MPa;σhFor minimum horizontal principal stress, MPa;σvFor Vertical crustal stress, MPa;PpFor pore pressure, MPa;E is Young's modulus, MPa;εHShould for the construction of maximum horizontal stress direction Force coefficient, dimensionless;εhFor the tectonic stress coefficient of minimum level stress direction, dimensionless;ρoThere is no density log depth The rock stratum average density value of section, g/cm3;HoFor the initial depth of density log, m;H is the depth of calculating point, m;Other specification thing Manage meaning the same.
5. the method that a kind of quantitative assessment Seam Roof And Floor according to claim 1 covers performance, it is characterised in that described The step of six it is final give Seam Roof And Floors capping performance grading standard, it is as shown in table 1:
The Seam Roof And Floor of table 1 capping performance opinion rating divides table
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