CN111793491A - Proppant for fracturing of coal-bed gas well and design method thereof - Google Patents

Proppant for fracturing of coal-bed gas well and design method thereof Download PDF

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CN111793491A
CN111793491A CN201910212858.7A CN201910212858A CN111793491A CN 111793491 A CN111793491 A CN 111793491A CN 201910212858 A CN201910212858 A CN 201910212858A CN 111793491 A CN111793491 A CN 111793491A
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proppant
hollow
coal
bed gas
density
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王辰龙
王渊
任文军
王凤清
王泽斌
李彦飞
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Petrochina Co Ltd
Petrochina Coalbed Methane Co Ltd
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Petrochina Co Ltd
Petrochina Coalbed Methane Co Ltd
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    • CCHEMISTRY; METALLURGY
    • C09DYES; PAINTS; POLISHES; NATURAL RESINS; ADHESIVES; COMPOSITIONS NOT OTHERWISE PROVIDED FOR; APPLICATIONS OF MATERIALS NOT OTHERWISE PROVIDED FOR
    • C09KMATERIALS FOR MISCELLANEOUS APPLICATIONS, NOT PROVIDED FOR ELSEWHERE
    • C09K8/00Compositions for drilling of boreholes or wells; Compositions for treating boreholes or wells, e.g. for completion or for remedial operations
    • C09K8/60Compositions for stimulating production by acting on the underground formation
    • C09K8/80Compositions for reinforcing fractures, e.g. compositions of proppants used to keep the fractures open
    • C09K8/805Coated proppants
    • EFIXED CONSTRUCTIONS
    • E21EARTH OR ROCK DRILLING; MINING
    • E21BEARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B43/00Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
    • E21B43/25Methods for stimulating production
    • E21B43/26Methods for stimulating production by forming crevices or fractures
    • E21B43/267Methods for stimulating production by forming crevices or fractures reinforcing fractures by propping
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01DMEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR
    • G01D21/00Measuring or testing not otherwise provided for
    • G01D21/02Measuring two or more variables by means not covered by a single other subclass

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Abstract

The invention discloses a proppant for fracturing of a coal-bed gas well and a design method thereof, and belongs to the technical field of fracturing of coal-bed gas wells. This proppant is the sphere structure, and the proppant includes: the table tennis ball comprises a hollow ball body made of table tennis material and pottery clay wrapped on the outer surface of the hollow ball body; the volume density of the proppant is 0.9-1.4g/cm3. The proppant is obtained by wrapping pottery clay on the outer surface of a hollow sphere, so that the proppant is in a hollow structure and further has lower volume density. Moreover, the hollow spheres can well support the argil, so that the proppant has good mechanical strength and flow conductivity. The proppant can meet the production requirement of coal bed gas well fracturing.

Description

Proppant for fracturing of coal-bed gas well and design method thereof
Technical Field
The invention relates to the technical field of coal-bed gas well fracturing, in particular to a proppant for coal-bed gas well fracturing and a design method thereof.
Background
In the production process of petroleum, natural gas and coal bed gas, the yield is increased by a fracturing technology. Among them, proppants are key materials in fracturing technology. The density and mechanical strength of the proppant have a significant effect on its mobility and ability to prop the fracture, which in turn affects the fracturing performance. Compared with oil exploitation, coal bed gas exploitation has a shallow coal bed gas reservoir and soft coal bed texture, and belongs to the pressure reduction desorption principle to produce gas, so that the density requirement of the proppant for coal bed gas exploitation is slightly higher, and the requirement of the breaking rate is slightly lower. However, in the existing coal bed gas exploitation, a propping agent for fracturing an oil (gas) layer is mostly adopted, so that the method is not suitable for a coal bed gas reservoir, and the gas production rate of a coal bed gas single well is low. Based on the above, it is necessary to provide a proppant for fracturing coal-bed gas wells.
The related art provides a proppant for fracturing a coal-bed gas well, the proppant comprising: lightweight aggregate and ceramic bonding material. Wherein the light aggregate is natural ore. The ceramic bonding material is alumina, bauxite or kaolin. The volume density of the proppant is 1.75-2.0 g/cm3
The inventors found that the related art has at least the following problems:
the proppant provided by the related technology has higher density, is easy to settle near a shaft in the pumping process, has poor fluidity and is not easy to form large cracks in a coal bed gas reservoir. Moreover, the density of the proppant needs to be matched with high-viscosity sand-carrying liquid, so that the construction difficulty is increased, and the damage to the coal bed gas reservoir is large.
Disclosure of Invention
The embodiment of the invention provides a proppant for fracturing of a coal-bed gas well and a design method thereof, which can solve the technical problems. The specific technical scheme is as follows:
in one aspect, an embodiment of the present invention provides a proppant for fracturing a coal-bed gas well, where the proppant has a spherical structure, and the proppant includes: the table tennis ball comprises a hollow ball body made of table tennis material and argil wrapped on the outer surface of the hollow ball body;
the volume density of the proppant is 0.9-1.4g/cm3
In one possible design, the ping-pong ball material is acetate fiber or acrylonitrile-butadiene-styrene copolymer.
In one possible design, the table tennis ball is made of xylonite.
In one possible design, the mass of the hollow spheres is 1.15-1.5 g.
In one possible design, the reference radius of the hollow sphere is 9-11 mm.
In one possible design, the average density of the kaolin is 2.4-2.8g/cm3
In another aspect, the present invention provides a method for designing a proppant for fracturing a coal-bed gas well, which includes:
acquiring a hollow sphere made of table tennis with a reference radius according to the target coal bed methane reservoir parameters;
obtaining the mass of the hollow sphere and the density of the argil;
determining a plurality of reference volume densities of the proppant according to the construction conditions of the target coal-bed gas well;
respectively determining the radius of the proppant with different reference volume densities and the thickness of the argil according to the mass and the reference radius of the hollow sphere, the density of the argil and a plurality of reference volume densities of the proppant;
respectively designing a plurality of proppants according to the reference radius and mass of the hollow sphere and the thickness of the argil corresponding to the proppants with different reference volume densities;
detecting the mechanical strength and the flow conductivity of the plurality of proppants, and selecting the proppants with the lowest volume density and the strength within a specified mechanical strength range and the flow conductivity within a specified flow conductivity range from the plurality of proppants as proppant templates;
designing a proppant according to the proppant template.
In one possible design, the obtaining the mass of the hollow sphere includes:
obtaining the total volume of the hollow spheres by adopting a drainage method;
weighing the total mass of the plurality of hollow spheres;
obtaining the number of the plurality of hollow spheres according to the reference radius of the hollow spheres and the total volume of the plurality of hollow spheres;
and acquiring the mass of each hollow sphere according to the total mass of the hollow spheres and the number of the hollow spheres.
In one possible design, the determining the radius of the proppant with different reference bulk densities according to the mass and the reference radius of the hollow sphere, the density of the puddle, and the plurality of reference bulk densities of the proppant respectively comprises:
determining the radii of a plurality of proppants according to the mass and reference radius of the hollow sphere, the density of the kaolin, different reference bulk densities of the proppants and the following formula (1);
Figure BDA0002001094100000031
wherein R is1Is the radius of the proppant in cm; r2Is the reference radius of the hollow sphere, and the unit is cm; m is1Is the mass of the hollow sphere, in g; rho1Is the density of the pottery clay and has a unit of g/cm3;ρ2Is a reference bulk density of the proppant in g/cm3
In one possible design, the specified mechanical strength range is less than or equal to 25% fracture of the proppant under a closure pressure condition of 21-86 MPa;
under the condition of the closing pressure of 10-80MPa, the specified flow conductivity range is 200-2·cm。
The technical scheme provided by the embodiment of the invention has the beneficial effects that at least:
the proppant for fracturing the coal-bed gas well is obtained by wrapping pottery clay on the outer surface of a hollow sphere, so that the proppant is in a hollow structure and further has lower volume density. Moreover, the hollow spheres can well support the argil, so that the proppant has good mechanical strength and flow conductivity. The proppant can meet the production requirement of fracturing of the coal-bed gas well due to the matching of low volume density and excellent strength.
According to the design method of the proppant for fracturing the coal-bed gas well, provided by the embodiment of the invention, the radius of the proppant with different reference volume densities and the thickness of the argil are respectively determined according to the reference radius and mass of the hollow sphere, the density of the argil and a plurality of reference volume densities of the proppant, so that a plurality of proppants are respectively designed. And selecting a proppant template to design the proppant according to the mechanical strength and the flow conductivity of the multiple proppants. The proppant with low density, good mechanical strength and good flow conductivity can be designed by the design method, and can be pumped to the far part of a reservoir stratum of a coal bed gas well and the upper half part of a fracture, so that a large fracture is easy to form. And because its density is little, only need low viscosity sand carrying liquid can, the construction degree of difficulty is little, and is little to the coal seam injury. In addition, the proppant can be suitable for coal bed gas development with the burial depth of less than 1000 meters.
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In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
FIG. 1 is a flow chart of a method for designing a proppant for fracturing a coal bed gas well according to an embodiment of the invention.
Detailed Description
Unless defined otherwise, all technical terms used in the examples of the present invention have the same meaning as commonly understood by one of ordinary skill in the art. In order to make the objects, technical solutions and advantages of the present invention more apparent, embodiments of the present invention will be described in detail with reference to the accompanying drawings.
In one aspect, an embodiment of the present invention provides a proppant for fracturing a coal-bed gas well, where the proppant has a spherical structure, and the proppant includes: a hollow ball body made of table tennis, and argil wrapped on the outer surface of the hollow ball body. Wherein the volume density of the proppant is 0.9-1.4g/cm3
For example, the bulk density of the proppant can be 0.9g/cm3、1g/cm3、1.1g/cm3、1.2g/cm3、1.3g/cm3、1.4g/cm3And the like.
The proppant for fracturing the coal-bed gas well is obtained by wrapping pottery clay on the outer surface of a hollow sphere, so that the proppant is in a hollow structure and further has lower volume density. Moreover, the hollow spheres can well support the argil, so that the proppant has good mechanical strength and flow conductivity. The proppant can meet the production requirement of fracturing of the coal-bed gas well due to the matching of low volume density and excellent strength.
As mentioned above, the hollow spheres have a significant effect on the bulk density and mechanical strength of the proppant. Based on this, the following example is given for the material of the hollow sphere in the embodiment of the present invention:
the ping-pong ball is made of cellulose acetate or acrylonitrile-butadiene-styrene copolymer.
The table tennis balls are easy to obtain, and the propping agent with the hollow ball body can meet the production requirement of fracturing of a coal-bed gas well.
Preferably, the table tennis ball material is xylonite.
Wherein the xylonite is a plastic, and is prepared from collodion plasticizer, lubricant, fuel, etc. It softens when heated and hardens when cooled. The proppant made of the table tennis ball material can be better suitable for fracturing of coal bed gas wells.
Based on the specific production conditions of the coal-bed gas well, the following examples are given for the mass and radius of the hollow sphere in the embodiments of the present invention:
the hollow spheres may have a mass of 1.15 to 1.5g, and may be, for example, 1.15g, 1.17g, 1.19g, 1.21g, 1.25g, 1.27g, 1.3g, 1.32g, 1.33g, 1.35g, 1.4g, 1.5g, or the like. The reference radius of the hollow sphere is 9-11mm, and may be, for example, 9mm, 9.5mm, 10mm, 10.5mm, 11mm, or the like.
By the arrangement, the proppant prepared by the hollow sphere has low density, excellent mechanical strength and good applicability in the fracturing process of a coal-bed gas well.
The matching effect between the pottery clay and the hollow spheres ensures that the volume density of the proppant is 0.9-1.4g/cm3. Based on this, the average density of the clay is 2.4-2.8g/cm3For example, it may be 2.4g/cm3、2.5g/cm3、2.6g/cm3、2.7g/cm3、2.8g/cm3And the like.
In another aspect, an embodiment of the present invention provides a method for designing a proppant for fracturing a coal-bed gas well, as shown in fig. 1, the method includes:
step 101, obtaining a table tennis ball material hollow ball body with a reference radius according to target coal bed methane reservoir parameters.
Specifically, parameters such as a fracture size parameter, a coal bed gas reserve parameter, reservoir thickness and depth of a target coal bed gas reservoir are obtained according to historical experience, and the particle size of the proppant is preliminarily determined. And obtaining the hollow sphere with the reference radius according to the particle size of the proppant.
And 102, acquiring the mass of the hollow sphere and the density of the argil.
Optionally, the mass of the hollow spheres is obtained by:
and obtaining the total volume of the hollow spheres by adopting a drainage method.
The total mass of the plurality of hollow spheres was weighed by an accumulation method.
And acquiring the number of the plurality of hollow spheres according to the reference radius of the hollow spheres and the total volume of the plurality of hollow spheres. Specifically, the volume of each hollow sphere is obtained according to the reference radius of the hollow sphere, and the total volume of the plurality of hollow spheres is divided by the volume of each hollow sphere to obtain the number of the plurality of hollow spheres.
And acquiring the mass of each hollow sphere according to the total mass of the hollow spheres and the number of the hollow spheres. Specifically, the total mass of the plurality of hollow spheres is divided by the number of the plurality of hollow spheres to obtain the mass of each hollow sphere.
And 103, determining a plurality of reference volume densities of the propping agent according to the construction conditions of the target coal-bed gas well.
In determining the reference bulk density of the proppant, it needs to be determined based on the construction conditions of the target coal-bed gas well. The construction conditions of the target coal-bed gas well comprise: the pressure of the coal bed gas reservoir, the density and the composition of the fracturing fluid and the like.
Determining the density of the proppant to be 0.9-1.4g/cm based on the method provided by the standard of SY-T5108-2014 proppant Performance test method for Hydraulic fracturing and gravel packing operations3A plurality of reference bulk densities within the range. For example, the plurality of reference bulk densities of the proppant may each be 0.9g/cm3、1g/cm3、1.1g/cm3、1.2g/cm3、1.3g/cm3、1.4g/cm3And the like. The bulk density is 0.9-1.4g/cm3The suspending power of the proppant within the range is more than 5 times that of the quartz sand.
And step 104, respectively determining the radius of the propping agent and the thickness of the argil with different reference volume densities according to the mass and the reference radius of the hollow sphere, the density of the argil and a plurality of reference volume densities of the propping agent.
Specifically, according to the mass and the reference radius of the hollow sphere, the density of the argil and a plurality of reference bulk densities of the proppant, the radius of the proppant with different reference bulk densities is respectively determined, and the method comprises the following steps:
determining the radius of a plurality of proppants according to the mass and the reference radius of the hollow sphere, the density of the argil, different reference bulk densities of the proppants and the following formula (1);
Figure BDA0002001094100000061
wherein R is1Is the radius of the proppant in cm; r2Is the reference radius of the hollow sphere, and the unit is cm; m is1The mass of the hollow sphere is g; rho1Is the density of the pottery clay and has the unit of g/cm3;ρ2Is the reference bulk density of the proppant in g/cm3
The thickness of the pottery clay can be obtained by making the difference between the radius of the proppant and the reference radius of the hollow sphere.
And 105, respectively designing a plurality of proppants according to the reference radius and mass of the hollow sphere and the thickness of the argil corresponding to the proppants with different reference volume densities.
Namely, a plurality of different proppants are respectively prepared according to the parameters.
And 106, detecting the mechanical strength and the flow conductivity of the plurality of proppants, and selecting the proppants with the lowest volume density, the mechanical strength within a specified mechanical strength range and the flow conductivity within a specified flow conductivity range from the plurality of proppants as proppant templates.
Specifically, the mechanical strength of a plurality of proppants can be detected according to the methods provided in three standards of Q/SY 125-2007 fracturing proppant performance index and evaluation test method, Q/SH 10201598-2013 fracturing proppant performance index and test method, and SY/T5108-2014 proppant performance test method for hydraulic fracturing and gravel packing operation.
And (3) detecting the flow conductivity of a plurality of proppants according to a method provided by 'SY/T6302-2009 fracturing proppant pack short-term flow conductivity evaluation recommendation method'.
Wherein the "specified mechanical strength range" is that the fracture rate of the proppant is less than or equal to 25% under the closed pressure condition of 21-86 MPa. For example, the closure pressure conditions can be 21MPa, 28MPa, 32MPa, 37MPa, 52MPa, 69MPa, 86MPa, and the like. Under the condition of 10-80MPa of closing pressure, the specified flow conductivity range can be 200-2Cm. For example, the flow conductivity may be 200 μm2·cm、400μm2·cm、800μm2·cm、1000μm2·cm、1200μm2Cm, etc.
It can be understood that the proppant with better conductivity and excellent mechanical strength can be selected from the proppant.
And 107, designing the proppant according to the proppant template.
According to the design method of the proppant for fracturing the coal-bed gas well, provided by the embodiment of the invention, the radius of the proppant with different reference volume densities and the thickness of argil are respectively determined according to the reference radius and mass of a table tennis ball hollow sphere, the density of argil and a plurality of reference volume densities of the proppant, so that a plurality of proppants are respectively designed. And selecting a proppant template to design the proppant according to the mechanical strength and the flow conductivity of the multiple proppants. The proppant with low density, good mechanical strength and good flow conductivity can be designed by the design method, and can be pumped to the far part of a reservoir stratum of a coal bed gas well and the upper half part of a fracture, so that a large fracture is easy to form. And because its density is little, only need low viscosity sand carrying liquid can, the construction degree of difficulty is little, and is little to the coal seam injury. In addition, the proppant can be suitable for coal bed gas development with the depth of about 1000 meters.
The technical solution of the present application will be further described below by specific examples.
In the embodiment, the proppant is designed for a certain gas reservoir by using the method for designing the proppant for fracturing the coal-bed gas well provided by the embodiment of the invention. The specific design steps are as follows:
it should be noted that, the opening of the fracturing crack is larger than 100um, which is called as a large crack, and the coal seam burial depth is one possible caseAbout 500 meters, and by underground observation of a coal mine, large cracks develop, and proppants with the particle size of 10 meshes are all accumulated near a shaft and do not migrate to the cracks far away. The hollow ball body with radius of 10mm can be selected, the mass of the hollow ball body is 1.3g, and the density of the pottery clay is 2.6g/cm3. In order to make the proppant transport as far away as possible, the design bulk density is as small as possible when selecting the proppant, and six reference bulk densities of the proppant can be assumed to be 0.9g/cm each3、1.0g/cm3、1.1g/cm3、1.2g/cm3、1.3g/cm3、1.4g/cm3
Determining the radius of a plurality of proppants according to the mass and the reference radius of the hollow sphere, the density of the argil, different reference bulk densities of the proppants and the following formula (1);
Figure BDA0002001094100000081
wherein R is1Is the radius of the proppant in cm; r2Is the reference radius of the hollow sphere, and the unit is cm; m is1The mass of the hollow sphere is g; rho1Is the density of the pottery clay and has the unit of g/cm3;ρ2Is the reference bulk density of the proppant in g/cm3
When reference bulk density of proppant ρ2=0.9g/cm3The proppant radius R can be found1When the thickness of the pot clay is 1.10cm, the thickness of the pot clay is 0.1 cm.
When reference bulk density of proppant ρ2=1.0g/cm3The proppant radius R can be found1When the thickness of the pot clay is 1.13cm, the thickness of the pot clay is 0.13 cm.
When reference bulk density of proppant ρ2=1.1g/cm3The proppant radius R can be found1When the thickness of the pot clay is 1.15cm, the thickness of the pot clay is 0.15 cm.
When reference bulk density of proppant ρ2=1.2g/cm3The proppant radius R can be found11.18cm, the wall thickness of the pottery clayIs 0.18 cm.
When reference bulk density of proppant ρ2=1.3g/cm3The proppant radius R can be found1When the thickness of the pot clay is 1.21cm, the thickness of the pot clay is 0.21 cm.
When reference bulk density of proppant ρ2=1.4g/cm3The proppant radius R can be found1When the thickness of the pot clay is 1.24cm, the thickness of the pot clay is 0.24 cm.
And respectively designing a plurality of proppants according to the reference radius and mass of the hollow sphere and the thickness of the argil corresponding to the proppants with different reference volume densities. According to the sequence of the volume density from small to large, the designed plurality of proppants are numbered as No. 1 proppant, No. 2 proppant, No. 3 proppant, No. 4 proppant, No. 5 proppant and No. 6 proppant in sequence.
Respectively detecting the breakage rate of the No. 1-6 propping agent according to the method provided by the standard of Q/SY 125-2007 fracturing propping agent performance index and evaluation test method, wherein the breakage rates are respectively 2.6%, 4.8%, 4.6%, 3.5%, 6.1% and 7.3% under the 52MPa closed pressure test condition; under the condition of a 69MPa closed pressure test, the breaking rates are 3.5%, 4.6%, 5.2%, 4.7%, 6.8% and 9.6% respectively.
Respectively detecting the flow conductivity of the No. 1-6 proppants according to a method provided by a SY/T6302-2009 fracturing proppant pack short-term flow conductivity evaluation recommendation method, wherein the flow conductivity is 306 mu m2·cm、290μm2·cm、362μm2·cm、426μm2·cm、586μm2·cm、523μm2·cm。
And selecting the No. 4 proppant from the six proppants as a proppant template in comprehensive consideration of the coal bed burial depth, the width of the fracture and the condition of the fracturing fluid.
Proppant was designed according to proppant No. 4 template.
Compared with the proppant provided by the related technology, the proppant has the advantages that the yield is improved by at least 3 times, and the daily gas production of the coal bed gas is from 500m3D increase to 1500m3D is represented byThe above.
The above description is only an illustrative embodiment of the present invention, and should not be taken as limiting the scope of the invention, and any modifications, equivalents, improvements and the like that are within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (10)

1. A proppant for use in fracturing a coal bed gas well, wherein the proppant is in the form of a sphere structure, the proppant comprising: the table tennis ball comprises a hollow ball body made of table tennis material and argil wrapped on the outer surface of the hollow ball body;
the volume density of the proppant is 0.9-1.4g/cm3
2. The proppant for fracturing coal-bed gas wells as set forth in claim 1, wherein said ping-pong ball material is cellulose acetate or acrylonitrile-butadiene-styrene copolymer.
3. The proppant for fracturing coal bed gas wells as set forth in claim 1, wherein said ping-pong ball material is xylonite.
4. The proppant for fracturing coal-bed gas wells as set forth in claim 1, wherein said hollow sphere has a mass of from 1.15 to 1.5 g.
5. The proppant for fracturing coal-bed gas wells as set forth in claim 4, wherein said hollow sphere has a reference radius of 9-11 mm.
6. The proppant for fracturing coal-bed gas wells as set forth in claim 1, wherein said china clay has an average density of 2.4-2.8g/cm3
7. The method of designing a proppant for use in the fracturing of coal-bed gas wells as set forth in any one of claims 1 to 6, characterized in that the method of designing comprises:
acquiring a hollow sphere made of table tennis with a reference radius according to the target coal bed methane reservoir parameters;
obtaining the mass of the hollow sphere and the density of the argil;
determining a plurality of reference volume densities of the proppant according to the construction conditions of the target coal-bed gas well;
respectively determining the radius of the proppant with different reference volume densities and the thickness of the argil according to the mass and the reference radius of the hollow sphere, the density of the argil and a plurality of reference volume densities of the proppant;
respectively designing a plurality of proppants according to the reference radius and mass of the hollow sphere and the thickness of the argil corresponding to the proppants with different reference volume densities;
detecting the mechanical strength and the flow conductivity of the plurality of proppants, and selecting the proppants with the lowest volume density and the strength within a specified mechanical strength range and the flow conductivity within a specified flow conductivity range from the plurality of proppants as proppant templates;
designing a proppant according to the proppant template.
8. The method of claim 7, wherein the obtaining the mass of the hollow sphere comprises:
obtaining the total volume of the hollow spheres by adopting a drainage method;
weighing the total mass of the plurality of hollow spheres;
obtaining the number of the plurality of hollow spheres according to the reference radius of the hollow spheres and the total volume of the plurality of hollow spheres;
and acquiring the mass of each hollow sphere according to the total mass of the hollow spheres and the number of the hollow spheres.
9. The method of claim 7, wherein determining the radius of the proppant at different reference bulk densities based on the mass and the reference radius of the hollow sphere, the density of the puddle, and a plurality of reference bulk densities of the proppant comprises:
determining the radii of a plurality of proppants according to the mass and reference radius of the hollow sphere, the density of the kaolin, different reference bulk densities of the proppants and the following formula (1);
Figure FDA0002001094090000021
wherein R is1Is the radius of the proppant in cm; r2Is the reference radius of the hollow sphere, and the unit is cm; m is1Is the mass of the hollow sphere, in g; rho1Is the density of the pottery clay and has a unit of g/cm3;ρ2Is a reference bulk density of the proppant in g/cm3
10. The method of claim 7 wherein the specified mechanical strength range is less than or equal to 25% fracture rate of the proppant under a closure pressure condition of 21-86 MPa;
under the condition of the closing pressure of 10-80MPa, the specified flow conductivity range is 200-2·cm。
CN201910212858.7A 2019-03-20 2019-03-20 Proppant for fracturing of coal-bed gas well and design method thereof Pending CN111793491A (en)

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