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 PDFInfo
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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
Technical Field
The invention relates to a reservoir fracturing filling technology, in particular to a method and a device for optimizing fracturing fracture parameters.
Background
Frac packing is currently the primary means of production stimulation in sand production wells. The fracturing filling has double functions of increasing production and preventing sand. A fracturing crack with high flow conductivity is formed around the shaft through fracturing modification, so that reservoir fluid around the shaft is changed into linear flow from plane radial flow, the seepage resistance close to the well is reduced, and meanwhile, a gravel packing area around the shaft has a sand prevention function. The gravel pack zone has a certain inhibiting effect on the productivity of the fracture because it increases the resistance of the fluid flowing from the fracture to the wellbore.
Therefore, the parameters of the fracturing fracture need to be optimized, so that the productivity of the fracturing fracture is matched with the seepage capability of the gravel packing area, and the yield increasing effect of the fracturing fracture is fully exerted, but an effective implementation scheme is not provided in the prior art.
Disclosure of Invention
In order to solve the problems, the invention provides a method and a device for optimizing fracturing fracture parameters, which can fully exert the yield increasing effect of fracturing fractures.
In order to achieve the above object, the present invention provides a method for optimizing fracture parameters, comprising:
acquiring the maximum capacity of the gravel packing area according to the pressure drop of the gravel packing area;
and calculating the optimal parameters of the fracturing fracture according to the obtained maximum productivity of the gravel packed area.
Preferably, the acquiring the maximum productivity of the gravel packing zone according to the pressure drop of the gravel packing zone comprises:
obtaining a pressure drop of the gravel pack zone according to the ultimate production of the gravel pack zone;
calculating a maximum production capacity of the gravel pack zone based on the obtained pressure drop of the gravel pack zone.
Preferably, the acquiring the pressure drop of the gravel packing zone according to the ultimate production of the gravel packing zone comprises: according to the formulaCalculating a pressure drop of the gravel pack zone;
wherein Q is0maxFor the ultimate production of the gravel-packed zone, B0Is the volume coefficient of crude oil, mu0Is the formation crude oil viscosity, θsIs a form factor of the proppant and is,is the proppant mean particle size percentage, kdAnd h is the reservoir thickness, and L is the radius of the gravel pack zone.
Preferably according to a formulaCalculating the ultimate production Q of the gravel pack zone0max；
Wherein, K0Is the effective permeability of the reservoir, PeIs the original formation pressure, PairAt atmospheric pressure, ReTo supply a radius, rwIs the wellbore radius.
Preferably according to a formulaCalculating the proppant mean particle size percent
Wherein n is the type of the proppant, xiParticle size of the i-th proppant, DpiIs the weight of the ith proppant as a percentage of the total weight of the gravel pack zone.
Preferably, the calculating the maximum production capacity of the gravel pack from the obtained pressure drop of the gravel pack comprises:
according to the formulaCalculating a maximum capacity of the gravel pack zone;
wherein, Q10max△ P1 is the pressure drop of the gravel pack zone for maximum capacity of the gravel pack zone.
Preferably, the calculating parameters of the optimal fracturing fracture according to the obtained maximum productivity of the gravel packed zone comprises:
calculating a maximum oil recovery index for the gravel pack zone based on the obtained maximum capacity of the gravel pack zone;
and calculating the optimal parameters of the fracturing fracture according to the calculated maximum oil recovery index of the gravel packing area.
Preferably, said calculating the maximum oil recovery index of the gravel pack zone from the obtained maximum production capacity of the gravel pack zone comprises: according to the formulaCalculating a maximum oil recovery index for the gravel pack zone;
wherein, JfIs the maximum oil recovery index, P, of the gravel packeFor virgin formation pressure, Q10maxIs the maximum capacity of the gravel pack zone.
Preferably, the parameters of the fracture include the dimensionless conductivity of the fracture and the half-length of the fracture.
Preferably, the calculating the optimal parameters of the fracturing fracture according to the calculated maximum oil-production index of the gravel packing zone comprises:
calculating the maximum dimensionless oil recovery index of the gravel packing zone according to the calculated maximum oil recovery index of the gravel packing zone;
calculating the number of proppants according to the calculated maximum dimensionless oil recovery index of the gravel packing area;
obtaining the optimal dimensionless flow conductivity of the fractured fractures according to the number of the proppants obtained through calculation;
calculating the penetration ratio of the fractured fractures according to the calculated propping agent and the obtained optimal dimensionless conductivity of the fractured fractures;
and calculating the half length of the optimal fracturing fracture according to the calculated penetration ratio of the fracturing fracture.
Preferably, said calculating the maximum dimensionless oil recovery index for the gravel pack zone based on the calculated maximum oil recovery index for the gravel pack zone comprises:
according to the formulaCalculating a maximum dimensionless oil recovery index for the gravel pack zone;
wherein, JDIs the maximum dimensionless oil recovery index for the gravel pack.
Preferably, said calculating the proppant count from the calculated maximum dimensionless oil recovery index for the gravel pack comprises:
according to the formulaCalculating the proppant count; wherein N ispIs the proppant number.
Preferably, the obtaining the optimal dimensionless conductivity of the fractured fracture according to the calculated number of the proppants comprises:
according to the formula:
calculating the dimensionless conductivity of the optimal fracture;
wherein, according to the formulaCalculation fcl (C)fd)；
According to the formula
g1(x)＝3.357x5-10.686x4+10.041x3-2.1452x2+0.449x-0.1452
Computing
According to the formula
Calculating JI (Np) and JI (10);
according to the formula
g10(x)＝2.5016x5-7.8231x4+6.7988x3-1.7905x2+0.0346x+0.001448
Computing
Wherein, CfdThe dimensionless conductivity of the optimal fracture is obtained.
Preferably, said calculating the penetration ratio of the fractured fracture according to the calculated proppant and the obtained optimal dimensionless conductivity of the fractured fracture comprises:
according to the formulaCalculating a penetration ratio of the fracture;
wherein, IxIs the penetration ratio of the fractured fracture, CfDTo obtain the best dimensionless conductivity of the fracture.
Preferably, the calculating an optimal half-length of the fracture according to the calculated penetration ratio of the fracture comprises:
according to the formulaCalculating the half length of the optimal fracturing fracture;
wherein, XfIs half the length of the fracture, ReIs the feed radius.
The invention also provides a device for realizing the optimization of the parameters of the fracturing fracture, which at least comprises:
the acquisition module is used for acquiring the maximum capacity of the gravel packing area according to the pressure drop of the gravel packing area;
and the calculation module is used for calculating the optimal parameters of the fracturing fracture according to the obtained maximum productivity of the gravel packed area.
Preferably, the obtaining module is specifically configured to:
obtaining a pressure drop of the gravel pack zone according to the ultimate production of the gravel pack zone;
calculating a maximum production capacity of the gravel pack zone based on the obtained pressure drop of the gravel pack zone.
Preferably, the obtaining module is specifically configured to:
according to the formulaCalculating a pressure drop of the gravel pack zone;
wherein Q is0maxFor the ultimate production of the gravel-packed zone, B0Is the volume coefficient of crude oil, mu0Is the formation crude oil viscosity, θsIs a form factor of the proppant and is,is the proppant mean particle size percentage, kdIs the permeability of the gravel pack zone, h is the reservoir thickness, and L is the radius of the gravel pack zone;
calculating a maximum production capacity of the gravel pack zone based on the obtained pressure drop of the gravel pack zone.
Preferably, the obtaining module is specifically configured to:
obtaining a pressure drop of the gravel pack zone according to the ultimate production of the gravel pack zone;
according to the formulaCalculating the maximum productivity Q of the gravel pack zone0max；
Wherein, Q10max△ P1 is the pressure drop of the gravel pack zone for maximum capacity of the gravel pack zone.
Preferably, the calculation module is specifically configured to:
calculating a maximum oil recovery index for the gravel pack zone based on the obtained maximum capacity of the gravel pack zone; and calculating the optimal parameters of the fracturing fracture according to the calculated maximum oil recovery index of the gravel packing area.
Preferably, the calculation module is specifically configured to:
according to the formulaCalculating a maximum oil recovery index for the gravel pack zone;
wherein, JfIs the maximum oil recovery index, P, of the gravel packeFor virgin formation pressure, Q10maxIs the maximum capacity of the gravel pack zone;
and calculating the optimal parameters of the fracturing fracture according to the calculated maximum oil recovery index of the gravel packing area.
Preferably, the calculation module is specifically configured to:
calculating a maximum oil recovery index for the gravel pack zone based on the obtained maximum capacity of the gravel pack zone; calculating the maximum dimensionless oil recovery index of the gravel packing zone according to the calculated maximum oil recovery index of the gravel packing zone; calculating the number of proppants according to the calculated maximum dimensionless oil recovery index of the gravel packing area; obtaining the optimal dimensionless flow conductivity of the fractured fractures according to the number of the proppants obtained through calculation; calculating the penetration ratio of the fractured fractures according to the calculated propping agent and the obtained optimal dimensionless conductivity of the fractured fractures; and calculating the half length of the optimal fracturing fracture according to the calculated penetration ratio of the fracturing fracture.
Compared with the prior art, the invention comprises the following steps: acquiring the maximum capacity of the gravel packing area according to the pressure drop of the gravel packing area; and calculating the optimal parameters of the fracturing fracture according to the obtained maximum productivity of the gravel packed area. According to the scheme of the invention, the parameters of the pressure fracture are optimized according to the maximum productivity of the gravel packing area, so that the productivity of the fracturing fracture is matched with the seepage capability of the gravel packing area, and the yield increasing effect of the fracturing fracture is fully exerted.
Drawings
The accompanying drawings in the embodiments of the present invention are described below, and the drawings in the embodiments are provided for further understanding of the present invention, and together with the description serve to explain the present invention without limiting the scope of the present invention.
FIG. 1 is a flow chart of a method of implementing fracture parameter optimization in accordance with the present invention;
fig. 2 is a schematic structural composition diagram of the device for realizing parameter optimization of fracturing fractures.
Detailed Description
The following further description of the present invention, in order to facilitate understanding of those skilled in the art, is provided in conjunction with the accompanying drawings and is not intended to limit the scope of the present invention. In the present application, the embodiments and various aspects of the embodiments may be combined with each other without conflict.
Referring to fig. 1, the present invention provides a method for optimizing fracture parameters, comprising:
and step 100, acquiring the maximum production capacity of the gravel packing area according to the pressure drop of the gravel packing area. The method specifically comprises the following steps:
acquiring the pressure drop of the gravel packing area according to the limit production of the gravel packing area; calculating the maximum production capacity of the gravel pack zone based on the obtained pressure drop of the gravel pack zone.
Wherein deriving a pressure drop across the gravel pack from the ultimate production of the gravel pack comprises: the pressure drop of the gravel pack zone is calculated according to equation (1).
Wherein Q is0maxFor the ultimate production of gravel-packed zones, B0Is the volume coefficient of crude oil, mu0Is the formation crude oil viscosity, θsIs the shape factor of the proppant (with the value between 0 and 1, the average value of 0.7 to 0.75),is the proppant mean particle size percentage, kdAnd h is the permeability of the gravel pack zone, h is the reservoir thickness, and L is the radius of the gravel pack zone.
Wherein Q is calculated according to the formula (2)0max。
Wherein, K0Is the effective permeability of the reservoir, PeIs the original formation pressure, PairAt atmospheric pressure, ReTo supply a radius, rwIs the wellbore radius.
Wherein the proppant mean particle size percentage is calculated according to equation (3).
Wherein n is the type of proppant, xiParticle size of the i-th proppant, DpiIs the weight of the ith proppant as a percentage of the total weight of the gravel pack zone.
Wherein,typically between 500 and 600.
Wherein calculating the maximum production capacity of the gravel pack from the obtained pressure drop of the gravel pack comprises: the maximum capacity of the gravel pack zone is calculated according to equation (4).
Wherein, Q10maxFor maximum capacity of gravel pack zone, △ P1 is gravelPressure drop in the filling zone.
And 101, calculating the optimal parameters of the fracturing fracture according to the obtained maximum productivity of the gravel packed area. The method specifically comprises the following steps:
calculating a maximum oil recovery index of the gravel packing zone according to the obtained maximum capacity of the gravel packing zone; and calculating the optimal parameters of the fracturing fracture according to the calculated maximum oil recovery index of the gravel packing area.
Wherein calculating the maximum oil recovery index of the gravel pack from the obtained maximum capacity of the gravel pack comprises: the maximum oil recovery index of the gravel pack is calculated according to equation (5).
Wherein, JfIs the maximum oil recovery index of the gravel pack.
Parameters of the fractured fracture include, among other things, the dimensionless conductivity of the fractured fracture and the half-length of the fractured fracture (i.e., the distance the fractured fracture extends radially from the wellbore to the reservoir).
Calculating optimal parameters of the fractured fractures according to the calculated maximum oil recovery index of the gravel packing area comprises the following steps:
calculating the maximum dimensionless oil recovery index of the gravel packing area according to the calculated maximum oil recovery index of the gravel packing area, and calculating the number of proppants according to the calculated maximum dimensionless oil recovery index of the gravel packing area; obtaining the optimal dimensionless flow conductivity of the fractured fractures according to the number of the proppants obtained by calculation; calculating the penetration ratio of the fractured fractures according to the calculated propping agent and the obtained optimal dimensionless conductivity of the fractured fractures; and calculating the half length of the optimal fracturing fracture according to the calculated penetration ratio of the fracturing fracture.
Wherein calculating the maximum dimensionless oil recovery index for the gravel pack zone based on the calculated maximum oil recovery index for the gravel pack zone comprises: the maximum dimensionless oil recovery index for the gravel pack zone is calculated according to equation (6).
Wherein, JDIs the maximum dimensionless oil recovery index for the gravel pack.
Wherein calculating the proppant number according to the calculated maximum dimensionless oil recovery index for the gravel packed zone comprises: the proppant count was calculated according to equation (7).
Wherein N ispIs the proppant number.
Obtaining the optimal dimensionless conductivity of the fractured fracture according to the number of the proppants obtained by calculation comprises the following steps:
and (4) calculating the dimensionless flow conductivity of the optimal fracturing fracture according to the formula (8).
Wherein, CfdThe method is the dimensionless flow conductivity of the optimal fracture.
Wherein, according to the formulaCalculation fcl (C)fd)。
According to the formula
g1(x)＝3.357x5-10.686x4+10.041x3-2.1452x2+0.449x-0.1452
Computing
According to the formula
JI (Np) and JI (10) are calculated.
According to the formula
g10(x)＝2.5016x5-7.8231x4+6.7988x3-1.7905x2+0.0346x+0.001448
Computing
Wherein calculating the penetration ratio of the fractured fracture according to the calculated proppant and the obtained optimal dimensionless conductivity of the fractured fracture comprises: the penetration ratio of the fracture was calculated according to equation (9).
Wherein, IxPenetration ratio for fracturing fracture, CfDThe optimal dimensionless conductivity of the fractured fracture is obtained.
Wherein calculating the optimal half-length of the fracture according to the calculated penetration ratio of the fracture comprises: the half-length of the optimal fracture is calculated according to equation (10).
Wherein, XfIs half the length of the fracture, ReIs the feed radius.
The calculation method provided by the embodiment of the invention is described by taking a certain loose sandstone oil field L1 well as an example.
The well is supplied with a radius Re500 meters (m), an effective reservoir thickness h of 20m, and an effective reservoir permeability K0Is 200X 10-3Micron square (mum)2) Viscosity of crude oil mu0252 millipascals (mPa) seconds(s), formation crude oil volume factor B01.6, original formation pressure PeIs 32 megapascals (MPa), well bore radius rwIs 0.09 m.
The proppant used in the fracture was 20/40 mesh, and the cumulative proppant pumped into the formation was 0.13m radius in a 48 ton (T) pack.
The pressure drop of the gravel pack is obtained according to equation (1) as: 5.6 MPa; the maximum capacity of the gravel pack zone is calculated by equation (4) as: 44 cubic meters per day.
The maximum oil recovery index of the gravel pack calculated according to equation (5) is: 1.375m3d/MPa, converted into the maximum dimensionless oil recovery index according to the formula (6) as follows: 0.2554.
the corresponding proppant number is calculated to be N through the formula (7)pComprises the following steps: 0.00288
By the formula (8), NpCorresponding optimum CfdComprises the following steps: 0.8, and therefore the fracture penetration Ix calculated according to equation (16) is: 0.06.
calculating the half-length X of the optimal fracturing fracture according to the formula (10)fComprises the following steps: 15.2 m.
The parameters for the optimal fractured fracture for this well are therefore: dimensionless conductivity of optimal fracture Cfd0.8, optimal half-length X of fracturef＝15.2m。
The optimal half-length of the fracture of the area is 12-20m through the actual fracture parameter statistics of a large number of fractured filled wells in the area, so that the calculation result accords with the actual production statistical result, and the fracture parameter designed by the method is accurate and reasonable.
Referring to fig. 2, the present invention further provides an apparatus for implementing optimization of fracture parameters, which at least includes:
the acquisition module is used for acquiring the maximum capacity of the gravel packing area according to the pressure drop of the gravel packing area;
and the calculation module is used for calculating the optimal parameters of the fracturing fracture according to the obtained maximum productivity of the gravel packed area.
In the apparatus of the present invention, the obtaining module is specifically configured to:
acquiring the pressure drop of the gravel packing area according to the limit production of the gravel packing area;
calculating the maximum production capacity of the gravel pack zone based on the obtained pressure drop of the gravel pack zone.
In the apparatus of the present invention, the obtaining module is specifically configured to:
according to the formulaCalculating the pressure drop of the gravel packing area;
wherein Q is0maxFor the ultimate production of gravel-packed zones, B0Is the volume coefficient of crude oil, mu0Is the formation crude oil viscosity, θsIs a form factor of the proppant and is,is the proppant mean particle size percentage, kdThe permeability of the gravel packing zone, h the reservoir thickness, and L the radius of the gravel packing zone;
calculating the maximum production capacity of the gravel pack zone based on the obtained pressure drop of the gravel pack zone.
In the apparatus of the present invention, the obtaining module is specifically configured to:
acquiring the pressure drop of the gravel packing area according to the limit production of the gravel packing area;
according to the formulaCalculating the maximum capacity of the gravel packing area;
wherein, Q10maxFor maximum capacity of the gravel pack zone, △ P1 is the pressure drop of the gravel pack zone.
In the apparatus of the present invention, the calculation module is specifically configured to:
calculating a maximum oil recovery index of the gravel packing zone according to the obtained maximum capacity of the gravel packing zone; and calculating the optimal parameters of the fracturing fracture according to the calculated maximum oil recovery index of the gravel packing area.
In the apparatus of the present invention, the calculation module is specifically configured to:
according to the formulaCalculating the maximum oil recovery index of the gravel packing area;
wherein, JfIs the maximum oil recovery index, P, of the gravel packeFor virgin formation pressure, Q10maxMaximum capacity for gravel pack zones;
and calculating the optimal parameters of the fracturing fracture according to the calculated maximum oil recovery index of the gravel packing area.
In the apparatus of the present invention, the calculation module is specifically configured to:
calculating a maximum oil recovery index of the gravel packing zone according to the obtained maximum capacity of the gravel packing zone; calculating the maximum dimensionless oil recovery index of the gravel packing area according to the calculated maximum oil recovery index of the gravel packing area; calculating the number of proppants according to the calculated maximum dimensionless oil extraction index of the gravel packed region; obtaining the optimal dimensionless flow conductivity of the fractured fractures according to the number of the proppants obtained by calculation; calculating the penetration ratio of the fractured fractures according to the calculated propping agent and the obtained optimal dimensionless conductivity of the fractured fractures; and calculating the half length of the optimal fracturing fracture according to the calculated penetration ratio of the fracturing fracture.
It should be noted that the above-mentioned embodiments are only for facilitating the understanding of those skilled in the art, and are not intended to limit the scope of the present invention, and any obvious substitutions, modifications, etc. made by those skilled in the art without departing from the inventive concept of the present invention are within the scope of the present invention.
Claims (17)
1. A method for optimizing fracture parameters, comprising:
acquiring the maximum capacity of the gravel packing area according to the pressure drop of the gravel packing area;
calculating the optimal parameters of the fracturing fracture according to the obtained maximum productivity of the gravel packed zone;
the calculating the optimal parameters of the fracturing fracture according to the obtained maximum productivity of the gravel packed area comprises the following steps:
calculating a maximum oil recovery index for the gravel pack zone based on the obtained maximum capacity of the gravel pack zone;
calculating parameters of the optimal fracturing fracture according to the calculated maximum oil recovery index of the gravel packing area;
the parameters of the fractured fracture comprise the dimensionless conductivity of the fractured fracture and the half length of the fractured fracture;
the calculating the optimal parameters of the fracturing fracture according to the calculated maximum oil recovery index of the gravel packing zone comprises the following steps:
calculating the maximum dimensionless oil recovery index of the gravel packing zone according to the calculated maximum oil recovery index of the gravel packing zone;
calculating the number of proppants according to the calculated maximum dimensionless oil recovery index of the gravel packing area;
obtaining the optimal dimensionless flow conductivity of the fractured fractures according to the number of the proppants obtained through calculation;
calculating the penetration ratio of the fractured fractures according to the calculated propping agent and the obtained optimal dimensionless conductivity of the fractured fractures;
and calculating the half length of the optimal fracturing fracture according to the calculated penetration ratio of the fracturing fracture.
2. The method of claim 1, wherein the deriving a maximum production capacity of the gravel pack zone from a pressure drop of the gravel pack zone comprises:
obtaining a pressure drop of the gravel pack zone according to the ultimate production of the gravel pack zone;
calculating a maximum production capacity of the gravel pack zone based on the obtained pressure drop of the gravel pack zone.
3. The method of claim 2, wherein the deriving a pressure drop of the gravel pack from an ultimate production of the gravel pack comprises: according to the formulaCalculating a pressure drop of the gravel pack zone;
wherein Q is0maxFor the ultimate production of the gravel-packed zone, B0Is the volume coefficient of crude oil, mu0Is the formation crude oil viscosity, θsIs a form factor of the proppant and is,is the proppant mean particle size percentage, kdAnd h is the reservoir thickness, and L is the radius of the gravel pack zone.
4. A method according to claim 3, characterized in that it is based on a formulaCalculating the ultimate production Q of the gravel pack zone0max；
Wherein, K0Is the effective permeability of the reservoir, PeIs the original formation pressure, PairAt atmospheric pressure, ReTo supply a radius, rwIs the wellbore radius.
5. A method according to claim 3, characterized in that it is based on a formulaCalculating the proppant mean particle size percent
Wherein n is the type of the proppant, xiParticle size of the i-th proppant, DpiIs the weight of the ith proppant as a percentage of the total weight of the gravel pack zone.
6. The method of claim 2, wherein calculating the maximum production capacity of the gravel pack from the obtained pressure drop of the gravel pack comprises:
according to the formulaCalculating a maximum capacity of the gravel pack zone;
wherein, Q10maxFor maximum capacity of the gravel pack zone, △ P1 is the pressure drop of the gravel pack zone, K0Is the effective permeability of the reservoir, PeIs the original formation pressure, PairAt atmospheric pressure, ReTo supply a radius, rwIs the wellbore radius and h is the reservoir thickness.
7. The method of claim 1, wherein calculating the maximum oil recovery index for the gravel pack zone based on the obtained maximum production capacity of the gravel pack zone comprises: according to the formulaCalculating a maximum oil recovery index for the gravel pack zone;
wherein, JfIs the maximum oil recovery index, P, of the gravel packeFor virgin formation pressure, Q10maxIs the maximum capacity of the gravel pack zone.
8. The method of claim 1, wherein calculating the maximum dimensionless oil recovery index for the gravel pack zone based on the calculated maximum oil recovery index for the gravel pack zone comprises:
according to the formulaCalculating a maximum dimensionless oil recovery index for the gravel pack zone;
wherein, JDIs the maximum dimensionless oil recovery index for the gravel pack; b is0Is the volume coefficient of crude oil, mu0Is the formation crude oil viscosity, JfIs the maximum oil recovery index, K, of the gravel pack0Is effective permeability of reservoirPermeability, h is reservoir thickness.
9. The method of claim 1, wherein calculating a proppant count from the calculated maximum dimensionless oil recovery index for the gravel packed zone comprises:
according to the formulaCalculating the proppant count; wherein N ispIs the number of said proppants, JDIs the maximum dimensionless oil recovery index for the gravel pack.
10. The method of claim 1, wherein obtaining an optimal dimensionless conductivity of the fractured fracture based on the calculated number of proppants comprises:
according to the 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>&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>&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>&rsqb;</mo> <mo>&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><</mo> <mi>N</mi> <mi>p</mi> <mo>&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>&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>&rsqb;</mo> <mo>&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><</mo> <mi>N</mi> <mi>p</mi> <mo>&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>&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>&rsqb;</mo> <mo>&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>></mo> <mn>10</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
calculating the dimensionless conductivity of the optimal fracture;
according to the formulaCalculation fcl (C)fd)；
According to the formula
g1(x)＝3.357x5-10.686x4+10.041x3-2.1452x2+0.449x-0.1452 calculation
According to the 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>&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><</mo> <mn>241</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>Calculating JI (Np) and JI (10);
according to the formula
g10(x)＝2.5016x5-7.8231x4+6.7988x3-1.7905x2+0.0346x +0.001448 CalculationsWherein, CfdIs the dimensionless conductivity, J, of the optimal fractureDIs the maximum dimensionless oil recovery index, N, of the gravel packpIs the proppant number.
11. The method of claim 1, wherein calculating the penetration ratio of the fractured fracture from the calculated proppant and the obtained optimal dimensionless conductivity of the fractured fracture comprises:
according to the formulaCalculating a penetration ratio of the fracture;
wherein, IxIs the penetration ratio of the fractured fracture, CfDTo obtain a dimensionless conductivity of the optimal fracture, NpIs the proppant number.
12. The method of claim 1, wherein calculating the optimal half-length of the fracture from the calculated penetration ratios of the fracture comprises:
according to the formulaCalculating the half length of the optimal fracturing fracture;
wherein, XfIs half the length of the fracture, ReTo supply a radius, IxIs the penetration ratio of the fracture.
13. An apparatus for implementing optimization of fracture parameters, comprising at least:
the acquisition module is used for acquiring the maximum capacity of the gravel packing area according to the pressure drop of the gravel packing area;
the calculation module is used for calculating the optimal parameters of the fracturing fracture according to the obtained maximum productivity of the gravel packed zone;
the calculation module is specifically configured to:
calculating a maximum oil recovery index for the gravel pack zone based on the obtained maximum capacity of the gravel pack zone; calculating parameters of the optimal fracturing fracture according to the calculated maximum oil recovery index of the gravel packing area;
the calculation module is specifically configured to:
calculating a maximum oil recovery index for the gravel pack zone based on the obtained maximum capacity of the gravel pack zone; calculating the maximum dimensionless oil recovery index of the gravel packing zone according to the calculated maximum oil recovery index of the gravel packing zone; calculating the number of proppants according to the calculated maximum dimensionless oil recovery index of the gravel packing area; obtaining the optimal dimensionless flow conductivity of the fractured fractures according to the number of the proppants obtained through calculation; calculating the penetration ratio of the fractured fractures according to the calculated propping agent and the obtained optimal dimensionless conductivity of the fractured fractures; and calculating the half length of the optimal fracturing fracture according to the calculated penetration ratio of the fracturing fracture.
14. The apparatus of claim 13, wherein the obtaining module is specifically configured to:
obtaining a pressure drop of the gravel pack zone according to the ultimate production of the gravel pack zone;
calculating a maximum production capacity of the gravel pack zone based on the obtained pressure drop of the gravel pack zone.
15. The apparatus of claim 14, wherein the obtaining module is specifically configured to:
according to the formulaCalculating a pressure drop of the gravel pack zone;
wherein Q is0maxFor the ultimate production of the gravel-packed zone, B0Is the volume coefficient of crude oil, mu0Is the formation crude oil viscosity, θsIs a form factor of the proppant and is,is the proppant mean particle size percentage, kd(ii) is the permeability of the gravel pack zone, h is the reservoir thickness, L is the radius of the gravel pack zone, △ P1 is the pressure drop of the gravel pack zone;
calculating a maximum production capacity of the gravel pack zone based on the obtained pressure drop of the gravel pack zone.
16. The apparatus of claim 14, wherein the obtaining module is specifically configured to:
obtaining a pressure drop of the gravel pack zone according to the ultimate production of the gravel pack zone;
according to the formulaCalculating a maximum capacity of the gravel pack zone;
wherein, Q10maxFor maximum capacity of the gravel pack zone, △ P1 is the pressure drop of the gravel pack zone, K0Is the effective permeability of the reservoir, PeIs the original formation pressure, PairAt atmospheric pressure, ReTo supply a radius, rwIs the wellbore radius and h is the reservoir thickness.
17. The apparatus of claim 13, wherein the computing module is specifically configured to:
according to the formulaCalculating a maximum oil recovery index for the gravel pack zone;
wherein, JfIs the maximum oil recovery index, P, of the gravel packeFor virgin formation pressure, Q10maxIs the maximum capacity of the gravel pack zone;
and calculating the optimal parameters of the fracturing fracture according to the calculated maximum oil recovery index of the gravel packing area.
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