CN107092032A - A kind of method of utilization well-log information quantitative assessment coal-bed gas exploitation complexity - Google Patents

A kind of method of utilization well-log information quantitative assessment coal-bed gas exploitation complexity Download PDF

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CN107092032A
CN107092032A CN201710340246.7A CN201710340246A CN107092032A CN 107092032 A CN107092032 A CN 107092032A CN 201710340246 A CN201710340246 A CN 201710340246A CN 107092032 A CN107092032 A CN 107092032A
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coal
msub
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CN107092032B (en
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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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    • G01V1/40Seismology; Seismic or acoustic prospecting or detecting specially adapted for well-logging
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Abstract

A kind of method of utilization well-log information quantitative assessment coal-bed gas exploitation complexity, first carries out coal bed gas extraction aquifer yield and builds coal bed gas extraction aquifer yield forecast model with log parameter correlation analysis:Coal Pore Structure index, the completion qualitative index of prediction of coal reservoir are calculated again, calculate coal-bed gas exploitation complexity evaluation number, it is final to determine that coal-bed gas exploitation complexity evaluation criterion divides coal-bed gas exploitation complexity and evaluated:The present invention had both taken into full account influence of the mining water yield to coal-bed gas exploitation complexity, and the influence of Coal Pore Structure and completion qualitative index has been taken into account again, and the coal-bed gas exploitation complexity evaluated more is coincide with coal-bed gas exploitation practical condition.

Description

A kind of method of utilization well-log information quantitative assessment coal-bed gas exploitation complexity
Technical field
The present invention relates to the Quantitative Evaluation with Well Logging technology during coal-bed gas exploitation, more particularly to one kind utilizes well-log information The method of quantitative assessment coal-bed gas exploitation complexity.
Background technology
For efficiently exploiting coal bed methane, it is necessary to assess the complexity of coal-bed gas exploitation.In general, coal seam reservoirs pressure Split rear water yield small, then depressurization desorption is fast, is conducive to output coal bed gas, then coal-bed gas exploitation is relatively easy to;If Coal Pore Structure For deformation coals such as granulated coal, rotten rib coals, and brittleness index is low, completion qualitative index is small, then difficulty or ease success pressure break, or even coal occur Powder blocks the situation of fissure channel, then coal gas exploitation difficulty is larger.
By time, the method for not utilizing well-log information quantitative assessment coal-bed gas exploitation complexity even both at home and abroad. In existing achievement in research report, the influence research of mining water yield and coal seam reservoirs compressibility to cbm development is limited only to. In fact, coal-bed gas exploitation complexity is not only relevant with mining water yield, and have with Coal Pore Structure, completion qualitative index Close.During existing coal-bed gas exploitation complexity is evaluated, coalbed gas logging data is not made full use of even to calculate mining water outlet Amount, Coal Pore Structure and completion qualitative index, and then to carry out quantitative assessment to coal-bed gas exploitation complexity, this is opened to coal bed gas Hair is made troubles.
The content of the invention
In order to overcome the shortcomings of above-mentioned existing method, quantitatively commented using well-log information it is an object of the invention to provide one kind The method of valency coal-bed gas exploitation complexity, based on coal bed gas extraction water yield, Coal Pore Structure and completion qualitative index, is established Coal-bed gas exploitation complexity quantitative evalution model and standard, are drawn with this evaluation criterion to coal-bed gas exploitation complexity Point, technical support will be provided for coal bed gas Efficient Development.
In order to achieve the above object, the technical scheme is that:
A kind of method of utilization well-log information quantitative assessment coal-bed gas exploitation complexity, comprises the following steps:
Step 1: coal bed gas extraction aquifer yield and log parameter correlation analysis:Utilize log parameter and actual coal bed gas Mining aquifer yield carries out correlation analysis, filters out the log parameter of coal bed gas extraction aquifer yield more sensitivity;
Step 2: building coal bed gas extraction aquifer yield forecast model:Understood based on step one, the water outlet of coal bed gas roof and floor Amount has good correlation with sandstone thickness, porosity and sandstone away from coal seam distance, accordingly, constructs following Seam Roof And Floor Water yield forecast model:
In formula:QwtbFor coal bed gas extraction water yield, m3/d;HtbFor adjoining rock thickness, m;Φ is sandstone pores Degree, %;S is distance of the sandstone away from coal seam, m;W1、W2、W3To be respectively sandstone thickness, porosity and sandstone away from coal seam distance Weight coefficient, dimensionless.
Studied from coal seam mining itself aquifer yield responsive parameter, density, interval transit time, resistivity and coal seam thickness It is more close with coal seam water outlet magnitude relation, then, coal seam itself the mining water yield shown in formula (2) is constructed using this group of parameter Forecast model:
Qwc=-7.518-0.375 × ρb+0.021×Δt-0.184×log(Rt)+0.128×Hc R2=0.739 (2)
In formula:QwcFor coal seam itself mining water yield, m3/d;ρbFor the bulk density in coal seam, g/cm3;Δ t is coal seam Interval transit time, μ s/m;Rt is the resistivity in coal seam, Ω .m;HcFor the thickness in coal seam, m;Other specification dimension is the same;
Based on Seam Roof And Floor and itself mining water yield, the coal bed gas extraction aquifer yield shown in equation (3) just can obtain.
QW=Qwtb+Qwc (3)
In formula:QWFor total mining water yield, m3/d;Other specification dimension is the same;
Step 3: calculating Coal Pore Structure index:The integrity factor in coal seam can reflect Coal Pore Structure to a certain extent, Then integrity factor is introduced when building Coal Pore Structure index computation model, accordingly, the Coal Pore Structure shown in definition (4) refers to Number well logging computation model.
In formula:ICSFor Coal Pore Structure index, dimensionless;KvFor the integrity factor in coal seam, dimensionless;VpFor the vertical of rock mass Wave sound speed, can be replaced, m/s with well logging longitudinal wave velocity;VrFor the theoretical longitudinal wave velocity of rock matrix, m/s;Other specification dimension is same Before;
Coal Pore Structure index ICSIt is bigger, show that coal petrography more levels off to primary structure coal;Coal Pore Structure index ICSIt is smaller, table Bright coal petrography more levels off to granulated coal and rotten rib coal.
Step 4: the completion qualitative index of prediction of coal reservoir:Poisson's ratio reflects energy to fracture of the coal petrography under stress Power, and modulus of elasticity reflects the enabling capabilities after coal petrography rupture, modulus of elasticity is higher, Poisson's ratio is lower, and the fragility of coal petrography is got over By force, then, the brittleness index of coal petrography is calculated using formula (6)~formula (8).
In formula:IBE、IThe brittleness index that respectively Young's modulus and Poisson's ratio method are calculated, %;IBRefer to for the fragility in coal seam Number, %;E is the Young's modulus in coal seam, 104MPa;μ is the Poisson's ratio in coal seam;Δt、ΔtsFor the P-wave And S time difference in coal seam, μ s/ m;Other specification physical significance is the same;
Relatively come compared with the Young's modulus of rock matrix with the Young's modulus of vertical shear wave slowness and density log material computation The development degree of micro cracks in oil in coal seam is characterized, shown in development degree of micro cracks in oil index computation model such as equation (11):
In formula:RFFor the fracture development index in coal seam;EtmaFor the Young's modulus value in free from flaw coal seam, MPa;Other specification Dimension is as previously shown;
Shown in coal seam and the horizontal deviator stress accounting equation of roof and floor interlayer such as formula (12).
Δ σ=σsc (12)
In formula:Δ σ is the ground stress deviation between coal seam and its roof and floor, MPa;σsFor the minimum horizontal principal stress of roof and floor, MPa;σcFor the minimum horizontal principal stress in coal seam, MPa;σvFor vertical crustal stress, MPa;A is Biot coefficients, dimensionless;PpFor ground Layer pore pressure, MPa;β is tectonic stress coefficient, dimensionless;Other specification dimension is as previously shown;
The horizontal stress coefficient of variation inside coal seam is calculated using equation (14):
In formula:KHFor the different coefficient of the horizontal deviator stress in coal seam, dimensionless;σ1For the maximum horizontal principal stress in coal seam, MPa;σ2 For the minimum horizontal principal stress in coal seam, MPa.
Brittleness index, fracture development coefficient, interlayer ground stress deviation and horizontal stress coefficient of variation beneficial to coal seam, are constructed Coal seam completion qualitative index forecast model shown in equation (15):
In formula:ICPFor coal seam completion qualitative index, dimensionless;Other specification dimension is as previously shown.
Step 5: calculating coal-bed gas exploitation complexity evaluation number:Based on going out for the calculating in step 2~step 4 Water, Coal Pore Structure index and completion qualitative index, after being normalized, it is contemplated that 1m has 8 well logging hits The influence at strong point, coal seam thickness and roof and floor thickness, and can increase coal-bed gas exploitation difficulty, coal body knot in view of water content increase It is easy to successfully pressure break when structure index and high completion qualitative index value, constructs the coal-bed gas exploitation complexity shown in equation (16) The quantitative calculation of evaluation number:
In formula:IERFor coal-bed gas exploitation complexity evaluation number, dimensionless;I counts for log data to be calculated, nothing Dimension;ICSN、ICPN、QWNCoal Pore Structure index, completion qualitative index and mining water yield after respectively normalizing, dimensionless;
Step 6: determining coal-bed gas exploitation complexity evaluation criterion:It is difficult according to the coal-bed gas exploitation calculated in step 5 Easy degree evaluation exponential quantity, on the basis of system coal seam correlation gas actual development data, gives the coal bed gas shown in table 1 and opens Adopt complexity grading standard:
The coal-bed gas exploitation complexity opinion rating of table 1 divides table
Coal-bed gas exploitation difficulty type Coal-bed gas exploitation complexity index IER
Easily IER> 0.8
It is easier to 0.6<IER≤0.8
It is more difficult 0.4<IER≤0.6
It is difficult IER≤0.4
Step 7: coal-bed gas exploitation complexity is evaluated:Based on the coal-bed gas exploitation difficulty or ease journey in step 2~step 4 Each evaluation index computation model is spent, on the basis of Directorate Of Organization reason interpretive program, water yield, Coal Pore Structure index and complete is calculated Model in well qualitative index, and then Utilization plan five calculates coal-bed gas exploitation complexity evaluation number, last foundation side Coal-bed gas exploitation complexity evaluation criterion shown in case six, determines evaluated coal-bed gas exploitation complexity evaluation.
The present invention is directed to coal-bed gas exploitation complexity first, it is proposed that a kind of quantitative assessment coal-bed gas exploitation complexity Method, well-log information can be effectively utilized three indexs of coal-bed gas exploitation complexity are calculated, to being coal seam Gas exploitation provides borehole logging technical support, has both taken into full account influence of the mining water yield to coal-bed gas exploitation complexity, The influence of Coal Pore Structure and completion qualitative index has been taken into account again, and the coal-bed gas exploitation complexity evaluated is real with coal-bed gas exploitation The border condition of production is more coincide.
Brief description of the drawings
Fig. 1 is the quantitative assessment coal-bed gas exploitation complexity method flow diagram in the present invention.
Fig. 2 is graph of a relation between the coal bed gas water yield per day and sandstone thickness in the present invention.
Fig. 3 is the coal bed gas water yield per day and sandstone in the present invention away from graph of a relation between the distance of coal seam.
Fig. 4 is graph of a relation between the coal bed gas water yield per day and porosity in the present invention.
Fig. 5 is graph of a relation between coal seam itself water yield per day and density in the present invention.
Fig. 6 is graph of a relation between coal seam itself water yield per day and interval transit time in the present invention.
Fig. 7 is graph of a relation between coal seam itself water yield per day and resistivity in the present invention.
Fig. 8 is graph of a relation between coal seam itself water yield per day and coal seam thickness in the present invention.
Fig. 9 is the hole diameter for recognizing Coal Pore Structure and resistivity cross plot in the present invention.
Figure 10 is the density for recognizing Coal Pore Structure and interval transit time cross plot in the present invention.
Figure 11 is the coal-bed gas exploitation complexity 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, evaluation method of quantitative assessment coal-bed gas exploitation complexity, comprises the following steps:
Step 1: coal bed gas extraction aquifer yield and log parameter correlation analysis:When the direct roof and floor in coal seam is sandstone, thing Property preferably, and sandstone thickness is bigger, then the property of water-bearing of roof and floor sandstone is stronger, the mining water outlet of roof and floor sandstone after coal bed fracturing Amount is larger.Mapping ability of the Geophysical Logging to coal bed gas extraction water yield is fully taken into account, from roof and floor and coal seam Itself two aspect carries out aquifer yield analysis.2~Fig. 5 of reference picture, using sandstone thickness, sandstone away from coal seam distance and porosity and day Aquifer yield correlation analysis learns, the sensitivity to parameter such as mining water yield per day and sandstone thickness, porosity is stronger, then utilizes this Parameter is organized to build the water yield forecast model of adjoining rock during mining.6~Fig. 9 of reference picture, utilizes the density in coal seam, sound wave The correlation analysis of the time difference and resistivity and coal seam thickness and water yield per day learns, interval transit time and coal seam thickness and coal seam water outlet Magnitude relation is more close, and coal seam bulk density and resistivity also have certain sensitiveness to the coal seam property of water-bearing, therefore utilization should Parameter is organized to build the water yield forecast model in coal seam itself.
Step 2: building coal bed gas extraction aquifer yield forecast model:Understood based on step one, the water outlet of coal bed gas roof and floor Amount has good correlation with sandstone thickness, porosity and sandstone away from coal seam distance.Accordingly, following Seam Roof And Floor is constructed Water yield forecast model:
In formula:QwtbFor coal bed gas extraction water yield, m3/d;HtbFor the thickness of adjoining rock, m;Φ is sandstone pores Degree, %;S is distance of the sandstone away from coal seam, m;W1、W2、W3To be respectively sandstone thickness, porosity and sandstone away from coal seam distance Weight coefficient, dimensionless.
Learnt by step one, density, interval transit time, resistivity and coal seam thickness and coal seam water outlet magnitude relation are more close, Then, coal seam itself the mining water yield forecast model as shown in formula (2) is constructed using this group of parameter.
Qwc=-7.518-0.375 × ρb+0.021×Δt-0.184×log(Rt)+0.128×Hc R2=0.739 (2)
In formula:QwcFor coal seam itself mining water yield, m3/d;ρbFor the bulk density in coal seam, g/cm3;Δ t is coal seam Interval transit time, μ s/m;Rt is the resistivity in coal seam, Ω .m;HcFor the thickness in coal seam, m;Other specification dimension is the same.
Based on Seam Roof And Floor and itself mining water yield, the coal bed gas extraction aquifer yield shown in equation (3) just can obtain.
QW=Qwtb+Qwc (3)
In formula:QWFor total mining water yield, m3/d;Other specification dimension is the same.
Step 3: calculating Coal Pore Structure index:Deformation coal mechanical strength is low, Coal Pore Structure is loose, it is impossible to brittle cracking, in It is to be difficult to form crack.While forming slotted wall during pressure break, these a large amount of coal dusts for collapsing from peeling can block seam road, and then cause The permeance property in coal seam cannot improve.Reference picture 10, Figure 11, the resistivity curve of primary structure coal be generally middle amplitude, Density is that high level, interval transit time are low value;And the density reduction of deformation coal, resistivity is middle low value, interval transit time increase.Pass through System dissects the logging response character of primary structure coal, fragmentation coal, granulated coal and the rotten rib coal in research area, finds with coal body knot Structure is reduced from primary structure coal to rotten rib coal transition, density log value and resistivity value, and interval transit time and hole diameter increase.Due to Resistivity, density and interval transit time are influenceed by expanding, can not when then building Coal Pore Structure index Logging estimation model This parameter of introducing hole diameter.The integrity factor in coal seam can reflect Coal Pore Structure to a certain extent, then build coal body Integrity factor is introduced during structure index computation model.Accordingly, the Coal Pore Structure index shown in definition (4).
In formula:ICSFor Coal Pore Structure index, dimensionless;KvFor the integrity factor in coal seam, dimensionless;VpFor the vertical of rock mass Wave sound speed, can be replaced, m/s with well logging longitudinal wave velocity;VrFor the theoretical longitudinal wave velocity of rock matrix, m/s;Other specification dimension is same Before.
Coal Pore Structure index ICSIt is bigger, show that coal petrography more levels off to primary structure coal;Coal Pore Structure index ICSIt is smaller, table Bright coal petrography more levels off to granulated coal and rotten rib coal.
Step 4: the completion qualitative index of prediction of coal reservoir:Poisson's ratio reflects energy to fracture of the coal petrography under stress Power, and modulus of elasticity reflects the enabling capabilities after coal petrography rupture.Modulus of elasticity is higher, Poisson's ratio is lower, and the fragility of coal petrography is got over By force.Then, the brittleness index of coal petrography is calculated using formula (6)~formula (8).
In formula:IBE、IThe brittleness index that respectively Young's modulus and Poisson's ratio method are calculated, %;IBRefer to for the fragility in coal seam Number, %;E is the Young's modulus in coal seam, 104MPa;μ is the Poisson's ratio in coal seam;Δt、ΔtsFor the P-wave And S time difference in coal seam, μ s/ m;Other specification physical significance is the same.
Relatively come compared with the Young's modulus of rock matrix with the Young's modulus of vertical shear wave slowness and density log material computation Characterize the development degree of micro cracks in oil in coal seam.Shown in development degree of micro cracks in oil index computation model such as equation (11).
In formula:RFFor the fracture development index in coal seam;EtmaFor the Young's modulus value of free from flaw rock, MPa;Other specification Dimension is as previously shown.
Shown in coal seam and the horizontal deviator stress accounting equation of roof and floor interlayer such as formula (12).
Δ σ=σsc (12)
In formula:Δ σ is the ground stress deviation between coal seam and its roof and floor, MPa;σsFor the minimum horizontal principal stress of roof and floor, MPa;σcFor the minimum horizontal principal stress in coal seam, MPa;σvFor vertical crustal stress, MPa;A is Biot coefficients, dimensionless;PpFor ground Layer pore pressure, MPa;β is tectonic stress coefficient, dimensionless;Other specification dimension is as previously shown.
The horizontal stress coefficient of variation inside coal seam is calculated using equation (14).
In formula:KHFor the different coefficient of the horizontal deviator stress in coal seam, dimensionless;σ1For the maximum horizontal principal stress in coal seam, MPa;σ2 For the minimum horizontal principal stress in coal seam, MPa.
The brittleness index in coal seam reservoirs fracturing effect and coal seam, development degree of micro cracks in oil are directly proportional;Between coal seam and its roof and floor When ground stress deviation is larger, pressure-break is easily controllable inside coal seam, without linking up roof and floor water-bearing layer;Coal seam horizontal principal stress Coefficient of variation is smaller, and pressure break is the chicken-wire cracking for being easy to be internally formed complexity in coal seam, and then beneficial to coal seam drainage and step-down.It is based on The understanding, brittleness index, fracture development coefficient, interlayer ground stress deviation and horizontal stress coefficient of variation beneficial to coal seam, is constructed Coal seam completion qualitative index forecast model shown in equation (15).
In formula:ICPFor coal seam completion qualitative index, dimensionless;Other specification dimension is as previously shown.
Step 5: calculating coal-bed gas exploitation complexity evaluation number:Based on going out for the calculating in step 2~step 4 Water, Coal Pore Structure index and completion qualitative index, after being normalized, it is contemplated that 1m has 8 well logging hits The influence at strong point, coal seam thickness and roof and floor thickness, and can increase coal-bed gas exploitation difficulty, coal body knot in view of water content increase It is easy to successfully pressure break when structure index and high completion qualitative index value, constructs the coal-bed gas exploitation complexity shown in equation (16) The quantitative calculation of evaluation number:
In formula:IERFor coal-bed gas exploitation complexity evaluation number, dimensionless;I counts for log data to be calculated, nothing Dimension;ICSN、ICPN、QWNCoal Pore Structure index, completion qualitative index and mining water yield after respectively normalizing, dimensionless.
Step 6: determining coal-bed gas exploitation complexity evaluation criterion:It is difficult according to the coal-bed gas exploitation calculated in step 5 Easy degree evaluation exponential quantity, on the basis of system coal seam correlation gas actual development data, gives the coal bed gas shown in table 1 and opens Adopt complexity grading standard:
The coal-bed gas exploitation complexity opinion rating of table 1 divides table
Coal-bed gas exploitation difficulty type Coal-bed gas exploitation complexity index IER
Easily IER> 0.8
It is easier to 0.6<IER≤0.8
It is more difficult 0.4<IER≤0.6
It is difficult IER≤0.4
Step 7: coal-bed gas exploitation complexity is evaluated:Based on the coal-bed gas exploitation difficulty or ease journey in step 2~step 4 Each evaluation index computation model is spent, on the basis of Directorate Of Organization reason interpretive program, water yield, Coal Pore Structure index and complete is calculated Model in well qualitative index, and then Utilization plan five calculates coal-bed gas exploitation complexity evaluation number, last foundation side Coal-bed gas exploitation complexity evaluation criterion shown in case six, determines evaluated coal-bed gas exploitation complexity evaluation.
The present invention is tried out in actual coalfield.In the application of the quantitative assessment coal-bed gas exploitation complexity of X wells, ginseng According to Figure 11, well main force coalbed methane reservoir section 573.5-577.4m, thickness is without obvious dirt band in 3.9m, layer.The coal bed gas is stored up Layer top 573.5-576.0m well sections, log shows ature of coal preferably, and coal core analysis air content is 8.9~19.4m3/ t, It is shown to be Enriching Coalbed Methane well section.However, Coal Pore Structure index, the completion qualitative index that the coal seam section is calculated are smaller, well logging The water yield per day of prediction is higher, and the coal-bed gas exploitation complexity index calculated using the invention methods described is between 0.4~0.6 Between, show that the well section is difficult to exploiting coal bed methane.In actual production, draining three after pressure break, but pressure break has been carried out to the coal seam section Wheat harvesting period outlet not yet.Fracturing effect is monitored and mining dynamically shows that the coal seam section is due to completion poor quality, pressing crack construction process In a large amount of coal dusts for collapsing from peeling plug seam road.The coalbed methane reservoir bottom 576.0-577.4m well sections, fixed carbon is in content Relatively low, content of ashes is higher, and the air content that well logging is calculated is 6.3-10.2m3/ t, coalbed methane reservoir quality is relatively poor;But should Coal seam section Coal Pore Structure index, completion qualitative index are high compared with superjacent section, and the water yield per day of prediction is relatively low, utilizes the hair The coal-bed gas exploitation complexity index that bright methods described is calculated is more than 0.8, shows that the well section is easy to exploiting coal bed methane.On top After the failure of coal seam section pressure break, pressure break is carried out to the lower coal interval again, after pressing crack construction after draining more than 20 days, daily gas 873 Side.This absolutely proves that the coal-bed gas exploitation complexity of this research quantitative assessment is more coincide with actual production feature.
This method had both taken into full account influence of the mining water yield to coal-bed gas exploitation complexity, and coal body knot has been taken into account again The influence of structure, completion qualitative index, the coal-bed gas exploitation complexity evaluated more is coincide with coal bed gas practical condition. Each evaluation index in the method can be asked for from coalfield borehole logging data, and almost all of coalfield is respectively provided with largely Borehole logging data.Therefore, coal-bed gas exploitation complexity Quantitative Evaluation with Well Logging method of the present invention has good push away Wide 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 complexity of coal-bed gas exploitation is accurately evaluated, it is very necessary, and complete to carry out the correction method of surroundings effecting to its well-log information Involved rock mechanics parameters have to pass through dynamic static conversion in well qualitative index evaluation, and coal-bed gas exploitation complexity is quantified Evaluation result just has higher precision.

Claims (1)

1. a kind of method of utilization well-log information quantitative assessment coal-bed gas exploitation complexity, it is characterised in that including following step Suddenly:
Step 1: coal bed gas extraction aquifer yield and log parameter correlation analysis:Utilize log parameter and actual coal bed gas extraction Aquifer yield carries out correlation analysis, filters out the log parameter of coal bed gas extraction aquifer yield more sensitivity;
Step 2: building coal bed gas extraction aquifer yield forecast model:Based on step one understand, the water yield of coal bed gas roof and floor with Sandstone thickness, porosity and sandstone have good correlation away from coal seam distance, accordingly, construct following Seam Roof And Floor water outlet Measure forecast model:
<mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>Q</mi> <mrow> <mi>w</mi> <mi>t</mi> <mi>b</mi> </mrow> </msub> <mo>=</mo> <mn>1.8879</mn> <msup> <mi>e</mi> <mrow> <mn>0.3767</mn> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <msub> <mi>W</mi> <mn>1</mn> </msub> <mo>&amp;times;</mo> <msub> <mi>H</mi> <mrow> <mi>t</mi> <mi>b</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>W</mi> <mn>2</mn> </msub> <mo>&amp;times;</mo> <mi>&amp;Phi;</mi> <mo>+</mo> <msub> <mi>W</mi> <mn>3</mn> </msub> <mo>&amp;times;</mo> <mi>S</mi> <mo>)</mo> </mrow> </mrow> </msup> </mrow> </mtd> <mtd> <mrow> <msup> <mi>R</mi> <mn>2</mn> </msup> <mo>=</mo> <mn>0.8001</mn> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula:QwtbFor coal bed gas extraction water yield, m3/d;HtbFor adjoining rock thickness, m;Φ is sandstone porosity, %;S For distance of the sandstone away from coal seam, m;W1、W2、W3To be respectively the weight coefficient of sandstone thickness, porosity and sandstone away from coal seam distance, Dimensionless;
Studied from coal seam mining itself aquifer yield responsive parameter, density, interval transit time, resistivity and coal seam thickness and coal Layer water outlet magnitude relation is more close, then, and coal seam itself the mining water yield shown in formula (2) is constructed using this group of parameter and is predicted Model:
Qwc=-7.518-0.375 × ρb+0.021×Δt-0.184×log(Rt)+0.128×Hc R2=0.739 (2)
In formula:QwcFor coal seam itself mining water yield, m3/d;ρbFor the bulk density in coal seam, g/cm3;Δ t is the sound wave in coal seam The time difference, μ s/m;Rt is the resistivity in coal seam, Ω .m;HcFor the thickness in coal seam, m;Other specification dimension is the same;
Based on Seam Roof And Floor and itself mining water yield, the coal bed gas extraction aquifer yield shown in equation (3) just can obtain;
QW=Qwtb+Qwc (3)
In formula:QWFor total mining water yield, m3/d;Other specification dimension is the same;
Step 3: calculating Coal Pore Structure index:The integrity factor in coal seam can reflect Coal Pore Structure to a certain extent, then Integrity factor is introduced when building Coal Pore Structure index computation model, accordingly, the Coal Pore Structure index shown in definition (4) is surveyed Well computation model;
<mrow> <msub> <mi>I</mi> <mrow> <mi>C</mi> <mi>S</mi> </mrow> </msub> <mo>=</mo> <mn>100</mn> <mo>&amp;CenterDot;</mo> <mfrac> <mrow> <msub> <mi>K</mi> <mi>v</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mi>&amp;rho;</mi> <mi>b</mi> </msub> </mrow> <mrow> <mi>&amp;Delta;</mi> <mi>t</mi> </mrow> </mfrac> <mo>&amp;CenterDot;</mo> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mrow> <mo>(</mo> <mi>R</mi> <mi>t</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>K</mi> <mi>&amp;nu;</mi> </msub> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <msub> <mi>V</mi> <mi>p</mi> </msub> <msub> <mi>V</mi> <mi>r</mi> </msub> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
In formula:ICSFor Coal Pore Structure index, dimensionless;KvFor the integrity factor in coal seam, dimensionless;VpFor the compressional wave sound of rock mass Speed, can be replaced, m/s with well logging longitudinal wave velocity;VrFor the theoretical longitudinal wave velocity of rock matrix, m/s;Other specification dimension is the same;
Coal Pore Structure index ICSIt is bigger, show that coal petrography more levels off to primary structure coal;Coal Pore Structure index ICSIt is smaller, show coal petrography More level off to granulated coal and rotten rib coal;
Step 4: the completion qualitative index of prediction of coal reservoir:Poisson's ratio reflects breakage of the coal petrography under stress, and Modulus of elasticity reflects the enabling capabilities after coal petrography rupture, and modulus of elasticity is higher, Poisson's ratio is lower, and the fragility of coal petrography is stronger, in It is that the brittleness index of coal petrography is calculated using formula (6)~formula (8);
<mrow> <msub> <mi>I</mi> <mrow> <mi>B</mi> <mi>E</mi> </mrow> </msub> <mo>=</mo> <mn>100</mn> <mo>&amp;times;</mo> <mfrac> <mrow> <mi>E</mi> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <mn>8</mn> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>I</mi> <mrow> <mi>B</mi> <mi>&amp;mu;</mi> </mrow> </msub> <mo>=</mo> <mn>100</mn> <mo>&amp;times;</mo> <mfrac> <mrow> <mi>&amp;mu;</mi> <mo>-</mo> <mn>0.4</mn> </mrow> <mrow> <mn>0.15</mn> <mo>-</mo> <mn>0.4</mn> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow> 1
<mrow> <msub> <mi>I</mi> <mi>B</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>I</mi> <mrow> <mi>B</mi> <mi>E</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>I</mi> <mrow> <mi>B</mi> <mi>&amp;mu;</mi> </mrow> </msub> </mrow> <mn>2</mn> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>&amp;mu;</mi> <mo>=</mo> <mfrac> <mrow> <mn>0.5</mn> <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> </mrow> <mrow> <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> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>E</mi> <mo>=</mo> <mfrac> <msub> <mi>&amp;rho;</mi> <mi>b</mi> </msub> <mrow> <msubsup> <mi>&amp;Delta;t</mi> <mi>s</mi> <mn>2</mn> </msubsup> </mrow> </mfrac> <mo>&amp;CenterDot;</mo> <mfrac> <mrow> <mn>3</mn> <msubsup> <mi>&amp;Delta;t</mi> <mi>s</mi> <mn>2</mn> </msubsup> <mo>-</mo> <mn>4</mn> <msup> <mi>&amp;Delta;t</mi> <mn>2</mn> </msup> </mrow> <mrow> <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> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
In formula:IBE、IThe brittleness index that respectively Young's modulus and Poisson's ratio method are calculated, %;IBRefer to for the fragility in coal seam Number, %;E is the Young's modulus in coal seam, 104MPa;μ is the Poisson's ratio in coal seam;Δt、ΔtsFor the P-wave And S time difference in coal seam, μ s/ m;Other specification physical significance is the same;
Relatively characterized compared with the Young's modulus of rock matrix with the Young's modulus of vertical shear wave slowness and density log material computation The development degree of micro cracks in oil in coal seam, shown in development degree of micro cracks in oil index computation model such as equation (11):
<mrow> <msub> <mi>R</mi> <mi>F</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>E</mi> <mrow> <mi>t</mi> <mi>m</mi> <mi>a</mi> </mrow> </msub> <mo>-</mo> <mi>E</mi> </mrow> <msub> <mi>E</mi> <mrow> <mi>t</mi> <mi>m</mi> <mi>a</mi> </mrow> </msub> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
In formula:RFFor the fracture development index in coal seam;EtmaFor the Young's modulus value in free from flaw coal seam, MPa;Other specification dimension is such as Shown in preceding;
Shown in coal seam and the horizontal deviator stress accounting equation of roof and floor interlayer such as formula (12);
Δ σ=σsc (12)
<mrow> <msub> <mi>&amp;sigma;</mi> <mi>s</mi> </msub> <mo>,</mo> <msub> <mi>&amp;sigma;</mi> <mi>c</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> <mi>&amp;beta;</mi> <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> <msub> <mi>&amp;alpha;P</mi> <mi>p</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>13</mn> <mo>)</mo> </mrow> </mrow>
In formula:Δ σ is the ground stress deviation between coal seam and its roof and floor, MPa;σsFor the minimum horizontal principal stress of roof and floor, MPa;σc For the minimum horizontal principal stress in coal seam, MPa;σvFor vertical crustal stress, MPa;α is Biot coefficients, dimensionless;PpFor formation pore Pressure, MPa;β is tectonic stress coefficient, dimensionless;Other specification dimension is as previously shown;
The horizontal stress coefficient of variation inside coal seam is calculated using equation (14):
<mrow> <msub> <mi>K</mi> <mi>H</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>&amp;sigma;</mi> <mn>1</mn> </msub> <mo>-</mo> <msub> <mi>&amp;sigma;</mi> <mn>2</mn> </msub> </mrow> <msub> <mi>&amp;sigma;</mi> <mn>2</mn> </msub> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>14</mn> <mo>)</mo> </mrow> </mrow>
In formula:KHFor the different coefficient of the horizontal deviator stress in coal seam, dimensionless;σ1For the maximum horizontal principal stress in coal seam, MPa;σ2For coal The minimum horizontal principal stress of layer, MPa;
Brittleness index, fracture development coefficient, interlayer ground stress deviation and horizontal stress coefficient of variation beneficial to coal seam, construct equation (15) the coal seam completion qualitative index forecast model shown in:
<mrow> <msub> <mi>I</mi> <mrow> <mi>C</mi> <mi>P</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>I</mi> <mi>B</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mi>R</mi> <mi>F</mi> </msub> <mo>&amp;CenterDot;</mo> <mi>&amp;Delta;</mi> <mi>&amp;sigma;</mi> </mrow> <msub> <mi>K</mi> <mi>H</mi> </msub> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>15</mn> <mo>)</mo> </mrow> </mrow>
In formula:ICPFor coal seam completion qualitative index, dimensionless;Other specification dimension is as previously shown;
Step 5: calculating coal-bed gas exploitation complexity evaluation number:Water yield based on the calculating in step 2~step 4, Coal Pore Structure index and completion qualitative index, after being normalized, it is contemplated that 1m have 8 well logging sampled data points, The influence of coal seam thickness and roof and floor thickness, and coal-bed gas exploitation difficulty can be increased in view of water content increase, Coal Pore Structure refers to Number and completion qualitative index value are easy to successfully pressure break when high, construct the coal-bed gas exploitation complexity shown in equation (16) and evaluate The quantitative calculation of index:
<mrow> <msub> <mi>I</mi> <mrow> <mi>E</mi> <mi>R</mi> </mrow> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mfrac> <mrow> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>H</mi> <mi>c</mi> </msub> <mo>/</mo> <mn>8</mn> </mrow> </munderover> <mrow> <mo>(</mo> <msub> <mi>I</mi> <mrow> <mi>C</mi> <mi>S</mi> <mi>N</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>I</mi> <mrow> <mi>C</mi> <mi>P</mi> <mi>N</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>H</mi> <mrow> <mi>t</mi> <mi>b</mi> </mrow> </msub> <mo>/</mo> <mn>8</mn> </mrow> </munderover> <msub> <mi>Q</mi> <mrow> <mi>W</mi> <mi>N</mi> </mrow> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>&amp;times;</mo> <mn>100</mn> <mi>%</mi> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>16</mn> <mo>)</mo> </mrow> </mrow>
In formula:IERFor coal-bed gas exploitation complexity evaluation number, dimensionless;I counts for log data to be calculated, immeasurable Guiding principle;ICSN、ICPN、QWNCoal Pore Structure index, completion qualitative index and mining water yield after respectively normalizing, dimensionless;
Step 6: determining coal-bed gas exploitation complexity evaluation criterion:According to the coal-bed gas exploitation difficulty or ease journey calculated in step 5 Evaluation number value is spent, on the basis of system coal seam correlation gas actual development data, the coal-bed gas exploitation given shown in table 1 is difficult The easy intensity grade criteria for classifying:
The coal-bed gas exploitation complexity opinion rating of table 1 divides table
Coal-bed gas exploitation difficulty type Coal-bed gas exploitation complexity index IER Easily IER> 0.8 It is easier to 0.6<IER≤0.8 It is more difficult 0.4<IER≤0.6 It is difficult IER≤0.4
Step 7: coal-bed gas exploitation complexity is evaluated:It is each based on the coal-bed gas exploitation complexity in step 2~step 4 Individual evaluation index computation model, on the basis of Directorate Of Organization reason interpretive program, calculates water yield, Coal Pore Structure index and completion product Model in matter index, and then Utilization plan five calculates coal-bed gas exploitation complexity evaluation number, last according to scheme six Shown in coal-bed gas exploitation complexity evaluation criterion, determine evaluated coal-bed gas exploitation complexity evaluation.
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