CN104879111B - A kind of method and apparatus for realizing fracturing fracture parameter optimization - Google Patents

A kind of method and apparatus for realizing fracturing fracture parameter optimization Download PDF

Info

Publication number
CN104879111B
CN104879111B CN201510174087.9A CN201510174087A CN104879111B CN 104879111 B CN104879111 B CN 104879111B CN 201510174087 A CN201510174087 A CN 201510174087A CN 104879111 B CN104879111 B CN 104879111B
Authority
CN
China
Prior art keywords
mrow
filling area
msub
gravel filling
maximum
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN201510174087.9A
Other languages
Chinese (zh)
Other versions
CN104879111A (en
Inventor
刘子雄
王杏尊
吴英
李敬松
黄子俊
王艳红
杨浩
王涛
尹兆炜
商永涛
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
China Oilfield Services Ltd
China National Offshore Oil Corp CNOOC
Original Assignee
China Oilfield Services Ltd
China National Offshore Oil Corp CNOOC
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by China Oilfield Services Ltd, China National Offshore Oil Corp CNOOC filed Critical China Oilfield Services Ltd
Priority to CN201510174087.9A priority Critical patent/CN104879111B/en
Publication of CN104879111A publication Critical patent/CN104879111A/en
Application granted granted Critical
Publication of CN104879111B publication Critical patent/CN104879111B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Abstract

The invention discloses a kind of method and apparatus for realizing fracturing fracture parameter optimization, including:The maximum production capacity of gravel filling area is obtained according to the pressure drop of gravel filling area;According to the parameter of the optimal fracturing fracture of the maximum AOF calculation of the gravel filling area of acquisition.By the solution of the present invention, the parameter of induced cleavage is optimized according to the maximum production capacity of gravel filling area so that the production capacity of fracturing fracture and the percolation ability of gravel filling area match, so as to give full play to the production-increasing function of fracturing fracture.

Description

A kind of method and apparatus for realizing fracturing fracture parameter optimization
Technical field
The present invention relates to reservoir fracturing filling technique, espespecially a kind of method and apparatus for realizing fracturing fracture parameter optimization.
Background technology
Frac-pack is the Main Yield-increasing mode of current sand output well.Frac-pack possesses volume increase and sand control double action. The fracturing fracture of a high flow conductivity is formed around pit shaft by fracturing reform so that the reservoir fluid around pit shaft is by putting down Face radial flow is changed to linear flow, so as to reduce the filtrational resistance of nearly well, while the gravel filling area around pit shaft possess it is anti- The function of sand.Because gravel filling area adds the resistance that fluid flows to by fracturing fracture pit shaft, therefore to the production of fracturing fracture There can be certain inhibitory action.
Therefore, it is necessary to be optimized to the parameter of fracturing fracture so that the production capacity of fracturing fracture and oozing for gravel filling area Stream ability matches, and so as to give full play to the production-increasing function of fracturing fracture, and not yet provides effective realization side in the prior art Case.
The content of the invention
In order to solve the above problems, the present invention proposes a kind of method and apparatus for realizing fracturing fracture parameter optimization, energy Enough give full play to the production-increasing function of fracturing fracture.
In order to achieve the above object, the present invention proposes a kind of method for realizing fracturing fracture parameter optimization, including:
The maximum production capacity of gravel filling area is obtained according to the pressure drop of gravel filling area;
According to the parameter of the optimal fracturing fracture of the maximum AOF calculation of the gravel filling area of acquisition.
Preferably, the maximum production capacity that gravel filling area is obtained according to the pressure drop of gravel filling area includes:
The pressure drop of the gravel filling area is obtained according to the production rate limit of the gravel filling area;
The maximum production capacity of the gravel filling area is calculated according to the pressure drop of the gravel filling area of acquisition.
Preferably, the pressure drop that gravel filling area is obtained according to the production rate limit of gravel filling area includes:According to public affairs FormulaCalculate the pressure drop of the gravel filling area;
Wherein, Q0maxFor the production rate limit of the gravel filling area, B0For oil volume factor, μ0For oil viscosity, θsFor the form factor of proppant,For proppant average grain diameter percentage, kdFor the permeability of the gravel filling area, h is Reservoir thickness, L are the radius of gravel filling area.
Preferably, according to formulaCalculate the production rate limit of the gravel filling area Q0max
Wherein, K0For the effective permeability of reservoir, PeFor original formation pressure, PairFor atmospheric pressure, ReFor drainage radius, rwFor wellbore radius.
Preferably, according to formulaCalculate the proppant average grain diameter percentage
Wherein, n be the proppant species, xiFor the particle diameter of i-th kind of proppant, DpiFor the weight of i-th kind of proppant Account for the percentage of the gross weight of the gravel filling area.
Preferably, the maximum production capacity of the pressure drop calculating gravel filling area of the gravel filling area according to acquisition includes:
According to formulaCalculate the maximum production capacity of the gravel filling area;
Wherein, Q10maxFor the maximum production capacity of the gravel filling area, △ P1 are the pressure drop of the gravel filling area.
Preferably, the parameter bag of the optimal fracturing fracture of the maximum AOF calculation of the gravel filling area according to acquisition Include:
According to the maximum productivity index of gravel filling area described in the maximum AOF calculation of the gravel filling area of the acquisition;
The parameter of the optimal fracturing fracture is calculated according to the maximum productivity index for the gravel filling area being calculated.
Preferably, the maximum productivity index of the maximum AOF calculation gravel filling area of the gravel filling area according to acquisition Including:According to formulaCalculate the maximum productivity index of the gravel filling area;
Wherein, JfFor the maximum productivity index of the gravel filling area, PeFor original formation pressure, Q10maxFor the gravel The maximum production capacity of filling area.
Preferably, the parameter of the fracturing fracture includes the zero dimension flow conductivity of the fracturing fracture and the pressure break is split Half length of seam.
Preferably, the maximum productivity index for the gravel filling area that the basis is calculated calculates optimal fracturing fracture Parameter includes:
The maximum nothing of the gravel filling area is calculated according to the maximum productivity index for the gravel filling area being calculated Dimension productivity index;
Proppant number is calculated according to the maximum zero dimension productivity index for the gravel filling area being calculated;
The zero dimension flow conductivity of optimal fracturing fracture is obtained according to the proppant number being calculated;
The pressure is calculated according to the zero dimension flow conductivity of the proppant being calculated and the optimal fracturing fracture of acquisition The penetration ratio in crack;
Half length of optimal fracturing fracture is calculated according to the penetration ratio for the fracturing fracture being calculated.
Preferably, the maximum productivity index for the gravel filling area that the basis is calculated calculates the maximum of gravel filling area Zero dimension productivity index includes:
According to formulaCalculate the maximum zero dimension productivity index of the gravel filling area;
Wherein, JDFor the maximum zero dimension productivity index of gravel filling area.
Preferably, the maximum zero dimension productivity index for the gravel filling area that the basis is calculated calculates proppant number bag Include:
According to formulaCalculate the proppant Number;Wherein, NpFor the proppant number.
Preferably, the proppant number that the basis is calculated obtains the zero dimension flow conductivity bag of optimal fracturing fracture Include:
According to formula:
Calculate the zero dimension flow conductivity of the optimal fracturing fracture;
Wherein, according to formulaCalculate fcl(Cfd);
According to formula
G1 (x)=3.357x5-10.686x4+10.041x3-2.1452x2+0.449x-0.1452
Calculate
According to formula
Calculate JI (Np) and JI (10);
According to formula
G10 (x)=2.5016x5-7.8231x4+6.7988x3-1.7905x2+0.0346x+0.001448
Calculate
Wherein, CfdFor the zero dimension flow conductivity of the optimal fracturing fracture.
Preferably, the proppant and the zero dimension flow conductivity of the optimal fracturing fracture obtained that the basis is calculated Calculating the penetration ratio of fracturing fracture includes:
According to formulaCalculate the penetration ratio of the fracturing fracture;
Wherein, IxFor the penetration ratio of the fracturing fracture, CfDZero dimension for the optimal fracturing fracture of acquisition is led Stream ability.
Preferably, the penetration ratio for the fracturing fracture that the basis is calculated calculates the Ban Changbao of optimal fracturing fracture Include:
According to formulaCalculate half length of optimal fracturing fracture;
Wherein, XfFor half length of the fracturing fracture, ReFor drainage radius.
The invention also provides a kind of device for realizing fracturing fracture parameter optimization, comprise at least:
Acquisition module, for obtaining the maximum production capacity of gravel filling area according to the pressure drop of gravel filling area;
Computing module, the parameter of the optimal fracturing fracture of maximum AOF calculation for the gravel filling area according to acquisition.
Preferably, the acquisition module is specifically used for:
The pressure drop of the gravel filling area is obtained according to the production rate limit of the gravel filling area;
The maximum production capacity of the gravel filling area is calculated according to the pressure drop of the gravel filling area of acquisition.
Preferably, the acquisition module is specifically used for:
According to formulaCalculate the pressure drop of the gravel filling area;
Wherein, Q0maxFor the production rate limit of the gravel filling area, B0For oil volume factor, μ0For oil viscosity, θsFor the form factor of proppant,For proppant average grain diameter percentage, kdFor the permeability of the gravel filling area, h is Reservoir thickness, L are the radius of gravel filling area;
The maximum production capacity of the gravel filling area is calculated according to the pressure drop of the gravel filling area of acquisition.
Preferably, the acquisition module is specifically used for:
The pressure drop of the gravel filling area is obtained according to the production rate limit of the gravel filling area;
According to formulaCalculate the maximum production capacity Q of the gravel filling area0max
Wherein, Q10maxFor the maximum production capacity of the gravel filling area, △ P1 are the pressure drop of the gravel filling area.
Preferably, the computing module is specifically used for:
According to the maximum productivity index of gravel filling area described in the maximum AOF calculation of the gravel filling area of the acquisition;Root The parameter of the optimal fracturing fracture is calculated according to the maximum productivity index for the gravel filling area being calculated.
Preferably, the computing module is specifically used for:
According to formulaCalculate the maximum productivity index of the gravel filling area;
Wherein, JfFor the maximum productivity index of the gravel filling area, PeFor original formation pressure, Q10maxFor the gravel The maximum production capacity of filling area;
The parameter of the optimal fracturing fracture is calculated according to the maximum productivity index for the gravel filling area being calculated.
Preferably, the computing module is specifically used for:
According to the maximum productivity index of gravel filling area described in the maximum AOF calculation of the gravel filling area of the acquisition;Root The maximum zero dimension oil recovery that the gravel filling area is calculated according to the maximum productivity index for the gravel filling area being calculated refers to Number;Proppant number is calculated according to the maximum zero dimension productivity index for the gravel filling area being calculated;According to being calculated The proppant number obtain the zero dimension flow conductivity of optimal fracturing fracture;According to the proppant and acquisition being calculated The zero dimension flow conductivity of optimal fracturing fracture calculates the penetration ratio of the fracturing fracture;According to the fracturing fracture being calculated Penetration ratio calculate half length of optimal fracturing fracture.
Compared with prior art, the present invention includes:The maximum of gravel filling area is obtained according to the pressure drop of gravel filling area Production capacity;According to the parameter of the optimal fracturing fracture of the maximum AOF calculation of the gravel filling area of acquisition.By the solution of the present invention, The parameter of induced cleavage is optimized according to the maximum production capacity of gravel filling area so that production capacity and the gravel filling of fracturing fracture The percolation ability in area matches, so as to give full play to the production-increasing function of fracturing fracture.
Brief description of the drawings
The accompanying drawing in the embodiment of the present invention is illustrated below, the accompanying drawing in embodiment is for entering one to the present invention Step understands, is used to explain the present invention together with specification, does not form limiting the scope of the invention.
Fig. 1 is the flow chart for the method that the present invention realizes fracturing fracture parameter optimization;
Fig. 2 is the structure composition schematic diagram for the device that the present invention realizes fracturing fracture parameter optimization.
Embodiment
For the ease of the understanding of those skilled in the art, the invention will be further described below in conjunction with the accompanying drawings, not It can be used for limiting the scope of the invention.It should be noted that in the case where not conflicting, embodiment and reality in the application The various modes applied in example can be mutually combined.
Referring to Fig. 1, the present invention proposes a kind of method for realizing fracturing fracture parameter optimization, including:
Step 100, the maximum production capacity according to the pressure drop of gravel filling area acquisition gravel filling area.Specifically include:
The pressure drop of gravel filling area is obtained according to the production rate limit of gravel filling area;According to the gravel filling area of acquisition Pressure drop calculates the maximum production capacity of gravel filling area.
Wherein, the pressure drop of gravel filling area is obtained according to the production rate limit of gravel filling area to be included:Counted according to formula (1) Calculate the pressure drop of gravel filling area.
Wherein, Q0maxFor the production rate limit of gravel filling area, B0For oil volume factor, μ0For oil viscosity, θsFor The form factor (between value is 0 to 1, average value is 0.7 to 0.75) of proppant,For proppant average grain diameter percentage, kdFor the permeability of gravel filling area, h is reservoir thickness, and L is the radius of gravel filling area.
Wherein, Q is calculated according to formula (2)0max
Wherein, K0For the effective permeability of reservoir, PeFor original formation pressure, PairFor atmospheric pressure, ReFor drainage radius, rwFor wellbore radius.
Wherein, proppant average grain diameter percentage is calculated according to formula (3).
Wherein, n be proppant species, xiFor the particle diameter of i-th kind of proppant, DpiWeight for i-th kind of proppant accounts for gravel The percentage of the gross weight of stone filling area.
Wherein,Generally between 500 to 600.
Wherein, the maximum production capacity of gravel filling area is calculated according to the pressure drop of the gravel filling area of acquisition to be included:According to public affairs Formula (4) calculates the maximum production capacity of gravel filling area.
Wherein, Q10maxFor the maximum production capacity of gravel filling area, △ P1 are the pressure drop of gravel filling area.
Step 101, the parameter according to the optimal fracturing fracture of the maximum AOF calculation of the gravel filling area of acquisition.Specific bag Include:
According to the maximum productivity index of the maximum AOF calculation gravel filling area of the gravel filling area of acquisition;According to calculating The maximum productivity index for the gravel filling area arrived calculates the parameter of optimal fracturing fracture.
Wherein, included according to the maximum productivity index of the maximum AOF calculation gravel filling area of the gravel filling area of acquisition: The maximum productivity index of gravel filling area is calculated according to formula (5).
Wherein, JfFor the maximum productivity index of gravel filling area.
Wherein, half length of zero dimension flow conductivity and fracturing fracture that the parameter of fracturing fracture includes fracturing fracture (is pressed The distance that crack radially extends from pit shaft to reservoir).
The parameter of optimal fracturing fracture is calculated according to the maximum productivity index for the gravel filling area being calculated to be included:
The maximum zero dimension that gravel filling area is calculated according to the maximum productivity index for the gravel filling area being calculated is recovered the oil Index, proppant number is calculated according to the maximum zero dimension productivity index for the gravel filling area being calculated;According to what is be calculated Proppant number obtains the zero dimension flow conductivity of optimal fracturing fracture;According to the proppant being calculated and obtain optimal The zero dimension flow conductivity of fracturing fracture calculates the penetration ratio of fracturing fracture;According to the penetration ratio meter for the fracturing fracture being calculated Half length of optimal fracturing fracture.
Wherein, the maximum zero dimension of gravel filling area is calculated according to the maximum productivity index for the gravel filling area being calculated Productivity index includes:The maximum zero dimension productivity index of gravel filling area is calculated according to formula (6).
Wherein, JDFor the maximum zero dimension productivity index of gravel filling area.
Wherein, calculating proppant number according to the maximum zero dimension productivity index for the gravel filling area being calculated includes:Root Proppant number is calculated according to formula (7).
Wherein, NpFor proppant number.
Wherein, the zero dimension flow conductivity of optimal fracturing fracture is obtained according to the proppant number being calculated to be included:
The zero dimension flow conductivity of optimal fracturing fracture is calculated according to formula (8).
Wherein, CfdFor the zero dimension flow conductivity of optimal fracturing fracture.
Wherein, according to formulaCalculate fcl(Cfd)。
According to formula
G1 (x)=3.357x5-10.686x4+10.041x3-2.1452x2+0.449x-0.1452
Calculate
According to formula
Calculate JI (Np) and JI (10).
According to formula
G10 (x)=2.5016x5-7.8231x4+6.7988x3-1.7905x2+0.0346x+0.001448
Calculate
Wherein, pressure is calculated according to the zero dimension flow conductivity of the proppant being calculated and the optimal fracturing fracture of acquisition The penetration ratio in crack includes:The penetration ratio of fracturing fracture is calculated according to formula (9).
Wherein, IxFor the penetration ratio of fracturing fracture, CfDFor the zero dimension flow conductivity of the optimal fracturing fracture of acquisition.
Wherein, half length of optimal fracturing fracture is calculated according to the penetration ratio for the fracturing fracture being calculated to be included:According to Formula (10) calculates half length of optimal fracturing fracture.
Wherein, XfFor half length of fracturing fracture, ReFor drainage radius.
Illustrate computational methods provided in an embodiment of the present invention by taking certain loose sand oil field L1 well as an example below.
Well drainage radius ReFor 500 meters (m), reservoir effective thickness h is 20m, the effective permeability K of reservoir0For 200 × 10-3Square micron (μm2), viscosity of crude μ0For 252 millipascals (mPa) seconds (s), oil volume factor in formation B0For 1.6, primitively Stressor layer PeFor 32 MPas (MPa), wellbore radius rwFor 0.09m.
The proppant that pressure break uses is 20/40 mesh, and the accumulative proppant for being pumped into stratum is for the radius of 48 tons of (T) filling areas 0.13m。
The pressure that gravel filling area is obtained according to formula (1) is reduced to:5.6MPa;Gravel filling area is calculated by formula (4) Maximum production capacity be:44 cubic metres/day.
The maximum productivity index of the gravel filling area calculated according to (5) formula is:1.375m3/ d/MPa, converted according to (6) formula It is into maximum zero dimension productivity index:0.2554.
It is N to calculate corresponding proppant number by (7) formulapFor:0.00288
Pass through formula (8), NpCorresponding optimal CfdFor:0.8, therefore the crack penetrance Ix calculated according to (16) formula For:0.06.
Half long X of optimal fracturing fracture is calculated according to (10) formulafFor:15.2m.
Therefore the parameter of the optimal fracturing fracture of the well is:The zero dimension flow conductivity C of optimal fracturing fracturefd= 0.8th, the half of optimal fracturing fracture long Xf=15.2m.
Counted by the actual fracture parameters of a large amount of frac-pack wells to the region, draw the optimal fracture half-length in the region For 12-20m, therefore the result of calculation meets actual production leadtime result, shows that the fracture parameters of this method design accurately close Reason.
Referring to Fig. 2, the invention also provides a kind of device for realizing fracturing fracture parameter optimization, comprise at least:
Acquisition module, for obtaining the maximum production capacity of gravel filling area according to the pressure drop of gravel filling area;
Computing module, the parameter of the optimal fracturing fracture of maximum AOF calculation for the gravel filling area according to acquisition.
In the device of the present invention, acquisition module is specifically used for:
The pressure drop of gravel filling area is obtained according to the production rate limit of gravel filling area;
The maximum production capacity of gravel filling area is calculated according to the pressure drop of the gravel filling area of acquisition.
In the device of the present invention, acquisition module is specifically used for:
According to formulaCalculate the pressure drop of gravel filling area;
Wherein, Q0maxFor the production rate limit of gravel filling area, B0For oil volume factor, μ0For oil viscosity, θsFor The form factor of proppant,For proppant average grain diameter percentage, kdFor the permeability of gravel filling area, h is reservoir thickness, L is the radius of gravel filling area;
The maximum production capacity of gravel filling area is calculated according to the pressure drop of the gravel filling area of acquisition.
In the device of the present invention, acquisition module is specifically used for:
The pressure drop of gravel filling area is obtained according to the production rate limit of gravel filling area;
According to formulaCalculate the maximum production capacity of gravel filling area;
Wherein, Q10maxFor the maximum production capacity of gravel filling area, △ P1 are the pressure drop of gravel filling area.
In the device of the present invention, computing module is specifically used for:
According to the maximum productivity index of the maximum AOF calculation gravel filling area of the gravel filling area of acquisition;According to calculating The maximum productivity index for the gravel filling area arrived calculates the parameter of optimal fracturing fracture.
In the device of the present invention, computing module is specifically used for:
According to formulaCalculate the maximum productivity index of gravel filling area;
Wherein, JfFor the maximum productivity index of gravel filling area, PeFor original formation pressure, Q10maxFor gravel filling area Maximum production capacity;
The parameter of optimal fracturing fracture is calculated according to the maximum productivity index for the gravel filling area being calculated.
In the device of the present invention, computing module is specifically used for:
According to the maximum productivity index of the maximum AOF calculation gravel filling area of the gravel filling area of acquisition;According to calculating The maximum productivity index for the gravel filling area arrived calculates the maximum zero dimension productivity index of gravel filling area;According to what is be calculated The maximum zero dimension productivity index of gravel filling area calculates proppant number;Optimal pressure is obtained according to the proppant number being calculated The zero dimension flow conductivity in crack;According to the proppant being calculated and the zero dimension water conservancy diversion of the optimal fracturing fracture of acquisition The penetration ratio of capacity calculation fracturing fracture;The half of optimal fracturing fracture is calculated according to the penetration ratio for the fracturing fracture being calculated It is long.
It should be noted that embodiment described above be for only for ease of it will be understood by those skilled in the art that, and It is not used in and limits the scope of the invention, on the premise of the inventive concept of the present invention is not departed from, those skilled in the art couple Any obvious replacement and improvement that the present invention is made etc. is within protection scope of the present invention.

Claims (17)

  1. A kind of 1. method for realizing fracturing fracture parameter optimization, it is characterised in that including:
    The maximum production capacity of gravel filling area is obtained according to the pressure drop of gravel filling area;
    According to the parameter of the optimal fracturing fracture of the maximum AOF calculation of the gravel filling area of acquisition;
    The parameter of the optimal fracturing fracture of the maximum AOF calculation of the gravel filling area according to acquisition includes:
    According to the maximum productivity index of gravel filling area described in the maximum AOF calculation of the gravel filling area of the acquisition;
    The parameter of the optimal fracturing fracture is calculated according to the maximum productivity index for the gravel filling area being calculated;
    The parameter of the fracturing fracture includes the zero dimension flow conductivity of the fracturing fracture and half length of the fracturing fracture;
    The parameter that the maximum productivity index for the gravel filling area that the basis is calculated calculates optimal fracturing fracture includes:
    The maximum zero dimension of the gravel filling area is calculated according to the maximum productivity index for the gravel filling area being calculated Productivity index;
    Proppant number is calculated according to the maximum zero dimension productivity index for the gravel filling area being calculated;
    The zero dimension flow conductivity of optimal fracturing fracture is obtained according to the proppant number being calculated;
    The pressure break is calculated according to the zero dimension flow conductivity of the proppant being calculated and the optimal fracturing fracture of acquisition to split The penetration ratio of seam;
    Half length of optimal fracturing fracture is calculated according to the penetration ratio for the fracturing fracture being calculated.
  2. 2. according to the method for claim 1, it is characterised in that described to be filled according to the pressure drop of gravel filling area acquisition gravel Filling out the maximum production capacity in area includes:
    The pressure drop of the gravel filling area is obtained according to the production rate limit of the gravel filling area;
    The maximum production capacity of the gravel filling area is calculated according to the pressure drop of the gravel filling area of acquisition.
  3. 3. according to the method for claim 2, it is characterised in that described that gravel is obtained according to the production rate limit of gravel filling area The pressure drop of filling area includes:According to formulaCalculate the pressure drop of the gravel filling area;
    Wherein, Q0maxFor the production rate limit of the gravel filling area, B0For oil volume factor, μ0For oil viscosity, θsFor The form factor of proppant,For proppant average grain diameter percentage, kdFor the permeability of the gravel filling area, h is reservoir Thickness, L are the radius of gravel filling area.
  4. 4. according to the method for claim 3, it is characterised in that according to formulaCalculate institute State the production rate limit Q of gravel filling area0max
    Wherein, K0For the effective permeability of reservoir, PeFor original formation pressure, PairFor atmospheric pressure, ReFor drainage radius, rwFor Wellbore radius.
  5. 5. according to the method for claim 3, it is characterised in that according to formulaCalculate the proppant Average grain diameter percentage
    Wherein, n be the proppant species, xiFor the particle diameter of i-th kind of proppant, DpiInstitute is accounted for for the weight of i-th kind of proppant State the percentage of the gross weight of gravel filling area.
  6. 6. according to the method for claim 2, it is characterised in that the pressure drop of the gravel filling area according to acquisition calculates The maximum production capacity of gravel filling area includes:
    According to formulaCalculate the maximum production capacity of the gravel filling area;
    Wherein, Q10maxFor the maximum production capacity of the gravel filling area, △ P1 are the pressure drop of the gravel filling area, K0For reservoir Effective permeability, PeFor original formation pressure, PairFor atmospheric pressure, ReFor drainage radius, rwFor wellbore radius, h is reservoir Thickness.
  7. 7. according to the method for claim 1, it is characterised in that the maximum production capacity meter of the gravel filling area according to acquisition Calculating the maximum productivity index of gravel filling area includes:According to formulaCalculate the maximum oil recovery of the gravel filling area Index;
    Wherein, JfFor the maximum productivity index of the gravel filling area, PeFor original formation pressure, Q10maxFilled for the gravel The maximum production capacity in area.
  8. 8. according to the method for claim 1, it is characterised in that the maximum for the gravel filling area that the basis is calculated is adopted The maximum zero dimension productivity index that oily index calculates gravel filling area includes:
    According to formulaCalculate the maximum zero dimension productivity index of the gravel filling area;
    Wherein, JDFor the maximum zero dimension productivity index of gravel filling area;B0For oil volume factor, μ0For oil viscosity, JfFor the maximum productivity index of the gravel filling area, K0For the effective permeability of reservoir, h is reservoir thickness.
  9. 9. according to the method for claim 1, it is characterised in that the maximum nothing for the gravel filling area that the basis is calculated Dimension productivity index, which calculates proppant number, to be included:
    According to formulaCalculate the proppant number;Its In, NpFor the proppant number, JDFor the maximum zero dimension productivity index of gravel filling area.
  10. 10. according to the method for claim 1, it is characterised in that the proppant number that the basis is calculated obtains optimal The zero dimension flow conductivity of fracturing fracture include:
    According to formula:
    <mrow> <msub> <mi>J</mi> <mi>D</mi> </msub> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>J</mi> <mrow> <mi>D</mi> <mn>1</mn> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mi>p</mi> </msub> <mo>,</mo> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mo>-</mo> <mn>0.629</mn> <mo>+</mo> <mn>0.5</mn> <mi>lg</mi> <mfrac> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> <msub> <mi>N</mi> <mi>p</mi> </msub> </mfrac> <mo>+</mo> <mi>f</mi> <mi>c</mi> <mi>l</mi> <mrow> <mo>(</mo> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> </mtd> <mtd> <mrow> <msub> <mi>N</mi> <mi>p</mi> </msub> <mo>&amp;le;</mo> <mn>0.1</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>J</mi> <mrow> <mi>D</mi> <mn>2</mn> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mi>p</mi> </msub> <mo>,</mo> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>J</mi> <mrow> <mi>D</mi> <mn>1</mn> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mi>p</mi> </msub> <mo>,</mo> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mo>&amp;lsqb;</mo> <mi>J</mi> <mi>I</mi> <mrow> <mo>(</mo> <mi>N</mi> <mi>p</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>J</mi> <mrow> <mi>D</mi> <mn>1</mn> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mi>p</mi> </msub> <mo>,</mo> <msub> <mi>N</mi> <mi>p</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>&amp;times;</mo> <mi>g</mi> <mn>1</mn> <mrow> <mo>(</mo> <msqrt> <mfrac> <msub> <mi>N</mi> <mi>p</mi> </msub> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> </mfrac> </msqrt> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <mn>0.1</mn> <mo>&lt;</mo> <mi>N</mi> <mi>p</mi> <mo>&amp;le;</mo> <mn>1</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>J</mi> <mrow> <mi>D</mi> <mn>3</mn> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mi>p</mi> </msub> <mo>,</mo> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>J</mi> <mrow> <mi>D</mi> <mn>2</mn> </mrow> </msub> <mrow> <mo>(</mo> <mn>1</mn> <mo>,</mo> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mo>&amp;lsqb;</mo> <mi>J</mi> <mi>I</mi> <mrow> <mo>(</mo> <mi>N</mi> <mi>p</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>J</mi> <mrow> <mi>D</mi> <mn>2</mn> </mrow> </msub> <mrow> <mo>(</mo> <mn>1</mn> <mo>,</mo> <msub> <mi>N</mi> <mi>p</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>&amp;times;</mo> <mi>g</mi> <mn>10</mn> <mrow> <mo>(</mo> <msqrt> <mfrac> <msub> <mi>N</mi> <mi>p</mi> </msub> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> </mfrac> </msqrt> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <mn>1</mn> <mo>&lt;</mo> <mi>N</mi> <mi>p</mi> <mo>&amp;le;</mo> <mn>10</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>J</mi> <mrow> <mi>D</mi> <mn>4</mn> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mi>p</mi> </msub> <mo>,</mo> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>J</mi> <mrow> <mi>D</mi> <mn>3</mn> </mrow> </msub> <mrow> <mo>(</mo> <mn>10</mn> <mo>,</mo> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mo>&amp;lsqb;</mo> <mi>J</mi> <mi>I</mi> <mrow> <mo>(</mo> <mi>N</mi> <mi>p</mi> <mo>)</mo> </mrow> <mo>-</mo> <mi>J</mi> <mi>I</mi> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>&amp;times;</mo> <msqrt> <mfrac> <msub> <mi>N</mi> <mi>p</mi> </msub> <msub> <mi>C</mi> <mrow> <mi>f</mi> <mi>d</mi> </mrow> </msub> </mfrac> </msqrt> </mrow> </mtd> <mtd> <mrow> <mi>N</mi> <mi>p</mi> <mo>&gt;</mo> <mn>10</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
    Calculate the zero dimension flow conductivity of the optimal fracturing fracture;
    According to formulaCalculate fcl (Cfd);
    According to formula
    G1 (x)=3.357x5-10.686x4+10.041x3-2.1452x2+ 0.449x-0.1452 is calculated
    According to formula
    <mrow> <mi>J</mi> <mi>I</mi> <mrow> <mo>(</mo> <mi>N</mi> <mi>p</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mn>1.909859</mn> </mtd> <mtd> <mrow> <mi>N</mi> <mi>p</mi> <mo>&amp;GreaterEqual;</mo> <mn>241</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>1.135</mn> <mo>-</mo> <mn>0.0529</mn> <mi>lg</mi> <mi> </mi> <mi>N</mi> <mi>p</mi> <mo>-</mo> <mn>0.9126</mn> <mi>a</mi> <mi>c</mi> <mi> </mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mrow> <mo>(</mo> <mn>0.374</mn> <mo>-</mo> <mn>0.494</mn> <mi>lg</mi> <mi> </mi> <mi>N</mi> <mi>p</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <mi>N</mi> <mi>p</mi> <mo>&lt;</mo> <mn>241</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow> Calculate JI (Np) and JI (10);
    According to formula
    G10 (x)=2.5016x5-7.8231x4+6.7988x3-1.7905x2+ 0.0346x+0.001448 is calculated Wherein, CfdFor the zero dimension flow conductivity of the optimal fracturing fracture, JDRefer to for the maximum zero dimension oil recovery of gravel filling area Number, NpFor the proppant number.
  11. 11. according to the method for claim 1, it is characterised in that the proppant and obtain most that the basis is calculated The penetration ratio that the zero dimension flow conductivity of excellent fracturing fracture calculates fracturing fracture includes:
    According to formulaCalculate the penetration ratio of the fracturing fracture;
    Wherein, IxFor the penetration ratio of the fracturing fracture, CfDFor the zero dimension water conservancy diversion energy of the optimal fracturing fracture of acquisition Power, NpFor the proppant number.
  12. 12. according to the method for claim 1, it is characterised in that the penetration ratio for the fracturing fracture that the basis is calculated Calculating half length of optimal fracturing fracture includes:
    According to formulaCalculate half length of optimal fracturing fracture;
    Wherein, XfFor half length of the fracturing fracture, ReFor drainage radius, IxFor the penetration ratio of the fracturing fracture.
  13. 13. a kind of device for realizing fracturing fracture parameter optimization, it is characterised in that comprise at least:
    Acquisition module, for obtaining the maximum production capacity of gravel filling area according to the pressure drop of gravel filling area;
    Computing module, the parameter of the optimal fracturing fracture of maximum AOF calculation for the gravel filling area according to acquisition;
    The computing module is specifically used for:
    According to the maximum productivity index of gravel filling area described in the maximum AOF calculation of the gravel filling area of the acquisition;According to meter The maximum productivity index of obtained gravel filling area calculates the parameter of the optimal fracturing fracture;
    The computing module is specifically used for:
    According to the maximum productivity index of gravel filling area described in the maximum AOF calculation of the gravel filling area of the acquisition;According to meter The maximum productivity index of the obtained gravel filling area calculates the maximum zero dimension productivity index of the gravel filling area;Root Proppant number is calculated according to the maximum zero dimension productivity index for the gravel filling area being calculated;According to being calculated Proppant number obtains the zero dimension flow conductivity of optimal fracturing fracture;According to the proppant being calculated and obtain optimal The zero dimension flow conductivity of fracturing fracture calculates the penetration ratio of the fracturing fracture;According to penetrating for the fracturing fracture being calculated Half than calculating optimal fracturing fracture is long.
  14. 14. device according to claim 13, it is characterised in that the acquisition module is specifically used for:
    The pressure drop of the gravel filling area is obtained according to the production rate limit of the gravel filling area;
    The maximum production capacity of the gravel filling area is calculated according to the pressure drop of the gravel filling area of acquisition.
  15. 15. device according to claim 14, it is characterised in that the acquisition module is specifically used for:
    According to formulaCalculate the pressure drop of the gravel filling area;
    Wherein, Q0maxFor the production rate limit of the gravel filling area, B0For oil volume factor, μ0For oil viscosity, θsFor The form factor of proppant,For proppant average grain diameter percentage, kdFor the permeability of the gravel filling area, h is reservoir Thickness, L are the radius of gravel filling area, and △ P1 are the pressure drop of the gravel filling area;
    The maximum production capacity of the gravel filling area is calculated according to the pressure drop of the gravel filling area of acquisition.
  16. 16. device according to claim 14, it is characterised in that the acquisition module is specifically used for:
    The pressure drop of the gravel filling area is obtained according to the production rate limit of the gravel filling area;
    According to formulaCalculate the maximum production capacity of the gravel filling area;
    Wherein, Q10maxFor the maximum production capacity of the gravel filling area, △ P1 are the pressure drop of the gravel filling area, K0For reservoir Effective permeability, PeFor original formation pressure, PairFor atmospheric pressure, ReFor drainage radius, rwFor wellbore radius, h is reservoir Thickness.
  17. 17. device according to claim 13, it is characterised in that the computing module is specifically used for:
    According to formulaCalculate the maximum productivity index of the gravel filling area;
    Wherein, JfFor the maximum productivity index of the gravel filling area, PeFor original formation pressure, Q10maxFilled for the gravel The maximum production capacity in area;
    The parameter of the optimal fracturing fracture is calculated according to the maximum productivity index for the gravel filling area being calculated.
CN201510174087.9A 2015-04-13 2015-04-13 A kind of method and apparatus for realizing fracturing fracture parameter optimization Active CN104879111B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201510174087.9A CN104879111B (en) 2015-04-13 2015-04-13 A kind of method and apparatus for realizing fracturing fracture parameter optimization

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201510174087.9A CN104879111B (en) 2015-04-13 2015-04-13 A kind of method and apparatus for realizing fracturing fracture parameter optimization

Publications (2)

Publication Number Publication Date
CN104879111A CN104879111A (en) 2015-09-02
CN104879111B true CN104879111B (en) 2018-04-03

Family

ID=53946762

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201510174087.9A Active CN104879111B (en) 2015-04-13 2015-04-13 A kind of method and apparatus for realizing fracturing fracture parameter optimization

Country Status (1)

Country Link
CN (1) CN104879111B (en)

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105422071B (en) * 2015-12-07 2018-12-11 西南石油大学 Evaluate the rational method of low-permeable heterogeneous gas reservoir fracture parameters of fractured horizontal wells
CN107423466B (en) * 2017-04-17 2019-12-24 西南石油大学 Numerical simulation method for quantitative prediction of proppant embedding and fracture conductivity

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2013016734A1 (en) * 2011-07-28 2013-01-31 Schlumberger Canada Limited System and method for performing wellbore fracture operations
US9194222B2 (en) * 2011-04-19 2015-11-24 Halliburton Energy Services, Inc. System and method for improved propped fracture geometry for high permeability reservoirs

Also Published As

Publication number Publication date
CN104879111A (en) 2015-09-02

Similar Documents

Publication Publication Date Title
CN104847341B (en) Underground natural gas storage tank well rational productivity forecast value revision method
CN104594872B (en) A kind of method for optimizing tight gas reservoir pressure break horizontal well fracture condudtiviy
CN106545336A (en) Consider the Productivity of tight gas reservoir seepage flow mechanism
CN107301306A (en) Dynamic open-flow capacity Forecasting Methodology for DAMAGE OF TIGHT SAND GAS RESERVOIRS pressure break horizontal well
CN109826609B (en) It is a kind of for mostly every the accurate method for placing of proppant of interlayer oil-gas reservoir hydraulic fracturing
CN107609258B (en) A kind of shale refracturing turns to the computational methods of fracture initiation pressure
CN103498663B (en) A kind of sucker rod pump hoisting system pumping technological parameter defining method and device
CN104879104B (en) Oil reservoir water injection method
CN106547930A (en) Consider the gas drainage radius computational methods of tight gas reservoir seepage flow mechanism
CN104879111B (en) A kind of method and apparatus for realizing fracturing fracture parameter optimization
CN110578506A (en) Unconventional reservoir horizontal well fracture control volume fracturing well completion method
CN103244087A (en) Profile control and water plugging well selection decision-making method for low-permeability reservoirs
CN204294863U (en) A kind of low-density coated sand
CN105350961A (en) Yield prediction method for volume fracturing horizontal well of low-permeability heterogeneous stress-sensitive reservoir stratum
CN102182923B (en) Gravity-flow cemented filling method of high-length-to-column-ratio pipes
CN104790931A (en) On-sea low-permeability reservoir thin interbed injection-recovery branched well control-increased method
CN103184871B (en) Coal pillar setting and extracting method for protecting important water body
QI et al. Calculation on discharge flow of pulverized coal in gas production channel for coalbed methane well
CN104234682B (en) A kind ofly be applicable to separate stratum fracturing of continuous oil pipe method that is many, girdle
CN206090597U (en) Haplopore multitube tubular well
CN106897475A (en) A kind of shallow shield tunnel minimum overburden layer thickness under water that covers determines method and its system
CN106022626A (en) Water flooding reservoir positioning plugging water flooding virtual front edge calculation method
CN104632173B (en) Fracture-network fracturing layer selection method for non-natural fracture tight reservoir
CN105888604B (en) A kind of old well in low pressure gas field that is suitable for repeats to transform the method that nearly wellbore formation permanently blocks
CN104989349B (en) A kind of constant volume body gas injection well gas injection rate design method

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
EXSB Decision made by sipo to initiate substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
CP01 Change in the name or title of a patent holder

Address after: 100010 Chaoyangmen North Street, Dongcheng District, Dongcheng District, Beijing

Co-patentee after: China Oilfield Services Limited

Patentee after: China Offshore Oil Group Co., Ltd.

Address before: 100010 Chaoyangmen North Street, Dongcheng District, Dongcheng District, Beijing

Co-patentee before: China Oilfield Services Limited

Patentee before: China National Offshore Oil Corporation

CP01 Change in the name or title of a patent holder