CN107066749B - A kind of method of quantitative assessment Seam Roof And Floor capping performance - Google Patents
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Abstract
A kind of method of quantitative assessment Seam Roof And Floor capping 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, technical support will be provided for coal bed gas Efficient Exploration and exploitation.
Description
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 be developed, 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 when being free of crack, then permeability is low, capping performance is good；It is if straight
When connecing top as the good sandstone of permeance property, and containing crack, then permeability is high, covers 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
The influence of layer roof and floor capping 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, Seam Roof And Floor capping Performance evaluation criterion is established, Seam Roof And Floor capping performance is drawn with this evaluation criterion
Point, technical support will be provided for coal bed gas Efficient Exploration and exploitation.
In order to achieve the above object, the technical scheme is that：
A kind of method of quantitative assessment Seam Roof And Floor capping performance, comprises the following steps：
Step 1: calculate 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, after being based on the relative natural gamma of equation (4) calculating using gamma ray log, Ran Houli
Lithology factor R is calculated with equation (5)g；Correlation analysis is carried out to lithology factor and shale content, and then establishes 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 construct the Seam Roof And Floor lithology composite index shown in equation (7) and calculate
Model, it is specific as follows：
In formula：M, N, P be reflect lithology parameter, 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 with respect to natural gamma, dimensionless；GR、GRmax、GRminPoint
Not Wei computation layer point, pure shale, the natural gamma value of clean sandstone, API；RgFor lithology factor, dimensionless；VshContain for shale
Amount, %；A, b is regression coefficient；IlFor Seam Roof And Floor lithology composite index, dimensionless；φ is the hole of Seam Roof And Floor
Degree, %；miDistance of the point away from coal seam, m are calculated for adjoining rock.
Step 2: calculate 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, least square method regression fit is carried out, 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 be roof and floor permeability, mD；Other specification physical significance is the same.
Step 3: calculate 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 be roof and floor interval transit time, μ s/ft；C, d, e are
Regression coefficient, dimensionless；Other specification physical significance is the same.
Step 4: calculate the fracture development index of Seam Roof And Floor：The Poisson's ratio calculated using well-log information, build formula
(11) the fracture coefficient accounting equation shown in, and the stability coefficient of equation (12) calculating roof and floor is utilized, 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 be coal petrography Poisson's ratio, 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: calculate the coefficient of horizontal pressure of Seam Roof And Floor：Coefficient of horizontal pressure is used to reflect horizontal stress and vertical stress
Between relation, coefficient of horizontal pressure λ represents the average value and the ratio between vertical stress of two horizontal stresses,
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 to calculate the depth put, m；Other ginsengs
Number physical significance is the same.
Step 6: determine Seam Roof And Floor capping Performance evaluation criterion：Based on the scheme in step 1~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 contrasting actual exploration and development data, 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 division table
Step 7: quantitative assessment Seam Roof And Floor covers performance：The each evaluation of performance is covered based on above-mentioned Seam Roof And Floor
Index computation model, on the basis of Directorate Of Organization manages interpretive program, calculate 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 is first for Seam Roof And Floor capping performance, it is proposed that a kind of quantitative assessment Seam Roof And Floor covers performance
Method, can effectively utilize well-log information to Seam Roof And Floor capping five indexs of performance calculate, to be 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 cover actual geological condition and more kissed
Close.
Based on the analysis for the lithologic character, the parameter such as permeability being had a great influence to Seam Roof And Floor capping performance, 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
After covering the internal relation between performance, Seam Roof And Floor capping Performance evaluation criterion is established.The evaluation criterion is from multiple sides
Face has considered five indexs being had a great influence to Seam Roof And Floor capping performance, 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 that the quantitative assessment Seam Roof And Floor in the present invention covers performance method flow diagram.
Fig. 2 is Seam Roof And Floor porosity and permeability graph of a relation in the present invention.
Fig. 3 is that the Seam Roof And Floor in the present invention covers performance quantitative assessment result map.
Embodiment
Technical scheme is described in detail below in conjunction with the accompanying drawings.
A kind of reference picture 1, evaluation method of quantitative assessment Seam Roof And Floor capping performance, comprises the following steps：
Step 1: calculate 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, after being based on the relative natural gamma of equation (4) calculating using gamma ray log, Ran Houli
Lithology factor R is calculated with equation (5)g；Correlation analysis is carried out to lithology factor and shale content, and then establishes 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, capping performance is had a great influence away from the rock stratum in the range of the bottom 5m of coal seam top.Due to well logging
Data are 1 meter of collection, 8 data points, are set to 40 for this weighted number strong point.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 be reflect lithology parameter, 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 with respect to natural gamma, dimensionless；GR、GRmax、GRminPoint
Not Wei computation layer point, pure shale, the natural gamma value of clean sandstone, API；RgFor lithology factor, dimensionless；VshContain for shale
Amount, %；A, b is regression coefficient；IlFor Seam Roof And Floor lithology composite index, dimensionless；φ is the hole of Seam Roof And Floor
Degree, %；miDistance of the point away from coal seam, m are calculated for adjoining rock.
Step 2: calculate 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 has a great influence 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 significantly increases, 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, can obtain
To calculation model of permeability shown in equation (8)；Similarly, calculation model of permeability shown in equation (9) can be obtained.
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 be roof and floor permeability, mD；Other specification physical significance is the same.
Step 3: calculate the replacement pressure of Seam Roof And Floor：Cap Assessment experience discloses, 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 three buried depth, interval transit time and shale content parameters when building adjoining rock replacement pressure computation model.Structure
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 be roof and floor interval transit time, μ s/ft；C, d, e are
Regression coefficient, dimensionless；Other specification physical significance is the same.
Step 4: calculate the fracture development index of Seam Roof And Floor：Crushing rock formation, Poisson's ratio are big；Rock stratum is complete, Poisson's ratio
It is small.Accordingly, the Poisson's ratio calculated using well-log information, the fracture coefficient accounting equation shown in structure 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 be coal petrography Poisson's ratio, 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: calculate 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 capping 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 to calculate the depth put, m；Other ginsengs
Number physical significance is the same.
Step 6: determine Seam Roof And Floor capping Performance evaluation criterion：Based on the scheme in step 1~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, it is and directly proportional to lithology composite index, replacement pressure and coefficient of horizontal pressure in view of the capping performance of roof and floor, 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 division table
Step 7: quantitative assessment Seam Roof And Floor covers performance：The each evaluation of performance is covered based on above-mentioned Seam Roof And Floor
Index computation model, on the basis of Directorate Of Organization manages interpretive program, calculate 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, thickness 6m, utilizes the present invention
The lithology composite index I that method calculateslDistribution is 0.67~0.86, and permeability K distributions are 0.001~0.005, row
It is 8~11.5 to drive pressure P, fracture development index IfFor 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 13.21m3/ t, air content are 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, the situation that coal bed gas spills into adjoining rock does not occur 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 capping performance quantitative evaluation method of the present invention 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 just has higher precision.
Claims (4)
- A kind of 1. method of quantitative assessment Seam Roof And Floor capping performance, it is characterised in that comprise the following steps：Step 1: calculate Seam Roof And Floor lithology composite index：M, N, the P for asking for reflecting lithology using tri-porosity logging join Number, after calculating relative natural gamma using gamma ray log, then calculate lithology factor Rg；Lithology factor and shale are contained Amount carries out correlation analysis, and then establishes regional experience model；Using shale content and chiltern ratio as measurement lithologic confining The parameter of energy, and influence of the adjoining rock thickness to closed performance is considered, then build Seam Roof And Floor lithology synthesis and refers to Number computation model；Step 2: calculate 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 significantly increases, 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, least square method regression fit is carried out, 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 be roof and floor permeability, mD；VshFor shale content, %；φ is porosity, %；Step 3: calculate 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, the replacement pressure computation model shown in equation (10) is then built,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 be roof and floor interval transit time, μ s/ft；C, d, e are recurrence Coefficient, dimensionless；Step 4: calculate the fracture development index of Seam Roof And Floor：The Poisson's ratio calculated using well-log information, build fracture coefficient Accounting equation, calculates the stability coefficient of roof and floor, and then establishes Seam Roof And Floor fracture development index computation model；Step 5: calculate the coefficient of horizontal pressure of Seam Roof And Floor；Step 6: determine Seam Roof And Floor capping Performance evaluation criterion：Based on the scheme in step 1~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, contrasted in system 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 provide Seam Roof And Floor capping performance grading standard；Step 7: quantitative assessment Seam Roof And Floor covers performance：The each evaluation index of performance is covered based on above-mentioned Seam Roof And Floor Computation model, on the basis of Directorate Of Organization manages interpretive program, calculate 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；Described step one is specially：Equation (1)~(3), which are based on, using tri-porosity logging asks for reflecting that M, N, P of lithology join Number, after being based on the relative natural gamma of equation (4) calculating using gamma ray log, then equation (5) is utilized to calculate lithology system Number Rg；Correlation analysis is carried out to lithology factor and shale content, and then establishes the regional experience model shown in equation (6)；Will Shale content and parameter of the chiltern ratio as measurement lithologic confining performance, and in view of adjoining rock thickness to closed performance Influence, then 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>&Delta;t</mi> <mi>f</mi> </msub> <mo>-</mo> <msub> <mi>&Delta;t</mi> <mrow> <mi>m</mi> <mi>a</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>&rho;</mi> <mrow> <mi>m</mi> <mi>a</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&rho;</mi> <mi>f</mi> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>&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>&Phi;</mi> <mrow> <mi>N</mi> <mi>f</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&Phi;</mi> <mrow> <mi>N</mi> <mi>m</mi> <mi>a</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>&rho;</mi> <mrow> <mi>m</mi> <mi>a</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&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>&Phi;</mi> <mrow> <mi>N</mi> <mi>f</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&Phi;</mi> <mrow> <mi>N</mi> <mi>m</mi> <mi>a</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>&Delta;t</mi> <mi>f</mi> </msub> <mo>-</mo> <msub> <mi>&Delta;t</mi> <mrow> <mi>m</mi> <mi>a</mi> </mrow> </msub> </mrow> </mfrac> <mo>&times;</mo> <mn>100</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow><mrow> <mi>&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>&times;</mo> <mi>&Delta;</mi> <mi>G</mi> <mi>R</mi> </mrow> <mrow> <mi>M</mi> <mo>&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>&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> <mo>&Sigma;</mo> <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>&phi;</mi> <mo>)</mo> <mo>&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 be reflect lithology parameter, 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 with respect to 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 be Seam Roof And Floor porosity, %；miFor top Floor strata calculates distance of the point away from coal seam, m.
- 2. the method for a kind of quantitative assessment Seam Roof And Floor capping performance according to claim 1, it is characterised in that described The step of four be specially：The Poisson's ratio calculated using well-log information, the fracture coefficient accounting equation shown in structure 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>&mu;</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi>&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>&mu;</mi> <mo>=</mo> <mfrac> <mrow> <msubsup> <mi>&Delta;t</mi> <mi>s</mi> <mn>2</mn> </msubsup> <mo>-</mo> <mn>2</mn> <msup> <mi>&Delta;t</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <msubsup> <mi>&Delta;t</mi> <mi>s</mi> <mn>2</mn> </msubsup> <mo>-</mo> <msup> <mi>&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>&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>&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>&rho;</mi> <mi>b</mi> </msub> <mo>&times;</mo> <mfrac> <mi>&alpha;</mi> <mrow> <msub> <mi>&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 be coal petrography Poisson's ratio, dimensionless；RgTo push up 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.
- 3. the method for a kind of quantitative assessment Seam Roof And Floor capping performance according to claim 1, 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 Average value and the ratio between vertical stress,<mrow> <mi>&lambda;</mi> <mo>=</mo> <mfrac> <mrow> <mo>(</mo> <msub> <mi>&sigma;</mi> <mi>H</mi> </msub> <mo>+</mo> <msub> <mi>&sigma;</mi> <mi>h</mi> </msub> <mo>)</mo> <mo>/</mo> <mn>2</mn> </mrow> <msub> <mi>&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>&sigma;</mi> <mi>H</mi> </msub> <mo>=</mo> <mfrac> <mi>&mu;</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi>&mu;</mi> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>&sigma;</mi> <mi>v</mi> </msub> <mo>-</mo> <msub> <mi>&alpha;P</mi> <mi>p</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mi>E</mi> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mi>&mu;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <msub> <mi>&epsiv;</mi> <mi>H</mi> </msub> <mo>+</mo> <mfrac> <mrow> <mi>E</mi> <mo>&CenterDot;</mo> <mi>&mu;</mi> </mrow> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mi>&mu;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <msub> <mi>&epsiv;</mi> <mi>h</mi> </msub> <mo>+</mo> <msub> <mi>&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>&sigma;</mi> <mi>h</mi> </msub> <mo>=</mo> <mfrac> <mi>&mu;</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi>&mu;</mi> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>&sigma;</mi> <mi>v</mi> </msub> <mo>-</mo> <msub> <mi>&alpha;P</mi> <mi>p</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mi>E</mi> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mi>&mu;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <msub> <mi>&epsiv;</mi> <mi>h</mi> </msub> <mo>+</mo> <mfrac> <mrow> <mi>E</mi> <mo>&CenterDot;</mo> <mi>&mu;</mi> </mrow> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mi>&mu;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <msub> <mi>&epsiv;</mi> <mi>H</mi> </msub> <mo>+</mo> <msub> <mi>&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>&sigma;</mi> <mi>v</mi> </msub> <mo>=</mo> <mn>0.00980665</mn> <mo>&times;</mo> <mrow> <mo>(</mo> <msub> <mi>&rho;</mi> <mi>o</mi> </msub> <mo>&times;</mo> <msub> <mi>H</mi> <mi>o</mi> </msub> <mo>+</mo> <munderover> <mo>&Integral;</mo> <msub> <mi>H</mi> <mn>0</mn> </msub> <mi>H</mi> </munderover> <msub> <mi>&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 to calculate the depth put, m；μ Poisson's ratios, nothing Dimension；α is Biot coefficients, dimensionless；ρbFor density of earth formations, g/cm3。
- 4. the method for a kind of quantitative assessment Seam Roof And Floor capping performance according to claim 1, it is characterised in that described The step of six finally give Seam Roof And Floor capping performance grading standard, it is as shown in table 1：The Seam Roof And Floor of table 1 capping performance opinion rating division table
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