CN114021312A - Acid liquor effective action distance calculation method considering earthworm hole filtration loss - Google Patents

Acid liquor effective action distance calculation method considering earthworm hole filtration loss Download PDF

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CN114021312A
CN114021312A CN202111224951.3A CN202111224951A CN114021312A CN 114021312 A CN114021312 A CN 114021312A CN 202111224951 A CN202111224951 A CN 202111224951A CN 114021312 A CN114021312 A CN 114021312A
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earthworm
fluid loss
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胡德高
王小军
朱志芳
胡韵
纪国法
王升
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Petroleum Engineering Technology Research Institute Of Hanjiang Oil Field Branch Sinopec
China Petroleum and Chemical Corp
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China Petroleum and Chemical Corp
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    • 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
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    • E21B43/25Methods for stimulating production
    • E21B43/26Methods for stimulating production by forming crevices or fractures
    • E21B43/27Methods for stimulating production by forming crevices or fractures by use of eroding chemicals, e.g. acids
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Abstract

The invention discloses an acid liquor effective action distance calculation method considering earthworm hole filtration loss, which comprises the following steps of: s1, calculating the total filter loss coefficient of earthworm holes through the compressibility filter loss coefficient, the wall-building filter loss coefficient and the viscous filter loss coefficient of the earthworm holes; s2, calculating an average fluid loss speed through a total fluid loss coefficient and construction time, and calculating the length of a dynamic crack through discharge capacity, crack height and construction time; s3, calculating the average width of the crack through acid liquid viscosity, discharge capacity, dynamic crack length, crack height and rock elastic modulus, and calculating the Peclet number according to the hydrogen ion mass transfer coefficient, the average filtration rate and the average crack width; s4, obtaining a corresponding dimensionless effective action distance according to a Pickery number lookup correlation chart, calculating the average flow velocity of the crack inlet end according to the discharge capacity, the average crack width and the crack height, and finally calculating the effective action distance of the acid liquid according to the dimensionless effective action distance, the average flow velocity, the average filtration loss velocity and the average crack width of the crack inlet end.

Description

Acid liquor effective action distance calculation method considering earthworm hole filtration loss
Technical Field
The invention relates to the field of oil and gas exploitation, in particular to an acid liquor effective acting distance calculation method considering earthworm hole filtration loss.
Background
In the mining of carbonate reservoirs, acid liquid is generally injected at a certain discharge capacity to react with carbonate, the wall surface is corroded by the acid liquid, so that the wall surface is not flat and uneven wall surfaces are formed, and acid corrosion cracks are formed after cracks are closed. The length of the acid-etched fracture directly influences the flow conductivity of the fracture, the length of the acid-etched fracture is key data for calculating the flow conductivity of the fracture, and the general calculation method only considers reservoir filtration and does not consider the additional filtration caused by the acid-etched wormholes, so that the calculation result has a large error with the actual result.
The filtration loss in the reaction process of the acid liquor and the rock is not only fluid filtration loss caused by the existence of rock pores, when the acid liquor reacts with the rock, acid wormholes are formed, and the existence of the wormholes can cause extra filtration loss of the acid liquor, so that a calculation method considering the effective acting distance of the acid liquor in the acid wormholes needs to be established.
Disclosure of Invention
The invention aims to solve the technical problem of providing a calculation method of effective acting distance of acid liquor considering earthworm foramen fluid loss aiming at the defects in the prior art, and solving the problem that extra fluid loss caused by acid wormhole is not considered in the prior calculation method.
The technical scheme adopted by the invention is as follows: an acid liquor effective action distance calculation method considering earthworm pore filtration loss is characterized by comprising the following steps:
s1, calculating the total filter loss coefficient of earthworm holes through the compressibility filter loss coefficient, the wall-building filter loss coefficient and the viscous filter loss coefficient of the earthworm holes;
s2, calculating an average filtration rate through the total filtration coefficient and the construction time calculated in the step S1, and calculating the length of the dynamic crack through the discharge capacity, the crack height and the construction time;
s3, calculating the average width of the crack through acid liquid viscosity, discharge capacity, dynamic crack length, crack height and rock elastic modulus, and calculating the Peclet number according to the hydrogen ion mass transfer coefficient, the average filtration rate calculated in the step S2 and the average width of the crack;
s4, checking the correlation chart according to the peclet number calculated in the step S3 to obtain a corresponding dimensionless effective action distance, calculating the average flow speed of the crack inlet end according to the discharge capacity, the average width of the crack and the crack height, and finally calculating the effective action distance of the acid liquid according to the dimensionless effective action distance, the average flow speed of the crack inlet end, the average filtration rate and the average crack width.
According to the above technical solution, in the step S1, the total fluid loss coefficient of wormholes is calculated as:
Figure BDA0003312280120000021
in the formula: cc-compressibility fluid loss coefficient; cw-wall build fluid loss coefficient; cv,wh-viscous fluid loss coefficient of wormholes; c-total fluid loss coefficient of earthworm hole.
According to the above technical solution, in the step S1, the calculation method of the viscous fluid loss coefficient of earthworm hole includes:
Figure BDA0003312280120000022
in the formula: PV (photovoltaic)bt-the pore volume required for acid breakthrough of the core in the core displacement experiment; cv-viscous fluid loss coefficient; cv,wh-viscous fluid loss coefficient of wormhole.
According to the above technical solution, in step S2, the formula for calculating the average fluid loss rate is:
Figure BDA0003312280120000023
in the formula: t-construction time, min; c-total filtration loss coefficient of earthworm holes.
According to the above technical solution, in step S2, the formula for calculating the dynamic fracture length is:
Figure BDA0003312280120000024
in the formula: l isD-dynamic fracture length, m; q-displacement, m3Min; h-seam height, m; c, total filtration loss coefficient of earthworm holes; t-construction time, min.
According to the above technical solution, in step S3, the formula for calculating the average width of the crack is:
Figure BDA0003312280120000025
in the formula:
Figure BDA0003312280120000026
-average width of cracks, m; μ -acid viscosity, mPa · s; g is rock elastic model, MPa; q-displacement, m3Min; h-seam height, m; l isD-dynamic fracture length.
According to the technical scheme, in step S3, the peclet number is calculated as:
Figure BDA0003312280120000031
in the formula: n is a radical ofp-a peclet number; dH+Hydrogen ion mass transfer coefficient, cm2/s;
Figure BDA0003312280120000032
Average width of the crack, m.
According to the technical scheme, in step S4, the average flow velocity at the inlet end of the crack is calculated as follows:
Figure BDA0003312280120000033
in the formula: u. of0-average fracture entrance end flow velocity, m/s;
Figure BDA0003312280120000034
-average width of cracks, m; h-seam height, m; u. of0-average fracture entrance end flow velocity, m/s;
Figure BDA0003312280120000035
average fluid loss velocity, m/s.
According to the technical scheme, in step S4, the effective acting distance of the acid liquid is calculated as follows:
Figure BDA0003312280120000036
in the formula: x is the effective action distance of the acid solution, m; l-dimensionless effective working distance, m; u. of0-average fracture entrance end flow velocity, m/s;
Figure BDA0003312280120000037
-average fluid loss velocity, m/s;
Figure BDA0003312280120000038
average width of the crack, m.
The beneficial effects obtained by the invention are as follows: the method comprises the steps of calculating the total fluid loss coefficient of earthworm holes through the compressibility fluid loss coefficient, the wall-building fluid loss coefficient and the viscidity fluid loss coefficient of the earthworm holes; calculating the average filtration rate through the total filtration coefficient and the construction time, and calculating the length of the dynamic fracture through the discharge capacity, the elastic modulus of the rock, the height of the fracture and the construction time; calculating the average width of the crack through acid liquid viscosity, discharge capacity, dynamic crack length, crack height and rock elastic modulus, and calculating the Peclet number according to the hydrogen ion mass transfer coefficient, the average filtration rate and the average crack width; checking a correlation chart according to a Pickery number to obtain a corresponding dimensionless effective action distance, calculating the average flow velocity of the crack inlet end according to the discharge capacity, the average crack width and the crack height, and finally calculating the effective action distance of the acid liquid according to the dimensionless effective action distance, the average flow velocity of the crack inlet end, the average filtration rate and the average crack width; the method is scientific and systematic, can effectively calculate the effective action distance of the acid liquor, and is scientific and high in use efficiency.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the features and performance of the method for calculating the effective acid acting distance according to the filtration loss of wormholes of the present application are described in further detail below with reference to the embodiments.
The embodiment of the application provides a method for calculating an effective acting distance of acid liquor filtered by wormholes, which mainly comprises the following steps:
s1, calculating the total filter loss coefficient of earthworm holes through the compressibility filter loss coefficient, the wall-building filter loss coefficient and the viscous filter loss coefficient of the earthworm holes;
s2, calculating an average fluid loss speed through a total fluid loss coefficient and construction time, and calculating the length of a dynamic crack through discharge capacity, crack height and construction time;
s3, calculating the average width of the crack through acid liquid viscosity, discharge capacity, dynamic crack length, crack height and rock elastic modulus, and calculating the Peclet number according to the hydrogen ion mass transfer coefficient, the average filtration rate and the average crack width;
s4, obtaining a corresponding dimensionless effective action distance according to a Pickery number lookup correlation chart, calculating the average flow velocity of the crack inlet end according to the discharge capacity, the average crack width and the crack height, and finally calculating the effective action distance of the acid liquid according to the dimensionless effective action distance, the average flow velocity, the average filtration loss velocity and the average crack width of the crack inlet end.
In the embodiment, the compressibility fluid loss coefficient, the wall-building fluid loss coefficient, the viscous fluid loss coefficient of earthworm holes, the acid liquid viscosity, the rock elastic modulus and the hydrogen ion mass transfer coefficient can be measured by conventional experiments; the seam height (reservoir thickness), construction time and discharge capacity are conventional parameters and can be determined according to actual geological parameters and construction parameters of a construction block.
It should be noted that, in this embodiment, the calculating the total fluid loss coefficient includes the following formula:
Figure BDA0003312280120000041
in the formula: cc-compressibility fluid loss coefficient; cw-wall build fluid loss coefficient; cv,wh-viscous fluid loss coefficient of wormholes; c-total fluid loss coefficient of earthworm hole.
Further, in step S1, the following formula is also included:
Figure BDA0003312280120000042
in the formula: PV (photovoltaic)bt-the pore volume required for acid breakthrough of the core in the core displacement experiment; cv-viscous fluid loss coefficient; cv,wh-viscous fluid loss coefficient of wormhole.
In this embodiment, in step S2, the average fluid loss rate is:
Figure BDA0003312280120000043
in the formula: t-construction time, min; c-total filtration loss coefficient of earthworm holes.
In this embodiment, in step S2, the dynamic crack length is:
Figure BDA0003312280120000044
in the formula: l isD-dynamic fracture length, m; q-displacement (which is initial stage displacement, which is fixed displacement construction, which is fixed value), m3Min; h-seam height, m; c, total filtration loss coefficient of earthworm holes; t-construction time, min.
In this embodiment, in step S3, the average width of the crack is:
Figure BDA0003312280120000051
in the formula:
Figure BDA0003312280120000052
-average width of cracks, m; μ -acid viscosity, mPa · s; g is rock elastic model, MPa; q-displacement, m3Min; h-seam height, m; l isD-dynamic fracture length.
In this embodiment, in step S3, the peclet number is:
Figure BDA0003312280120000053
in the formula: n is a radical ofp-a peclet number; dH+—H+Mass transfer coefficient cm2/s;
Figure BDA0003312280120000054
Average width of the crack, m.
In this embodiment, in step S4, the average flow velocity at the crack entrance end is:
Figure BDA0003312280120000055
in the formula: u. of0-average fracture entrance end flow velocity, m/s;
Figure BDA0003312280120000056
-average width of cracks, m; u. of0-average fracture entrance end flow velocity, m/s;
Figure BDA0003312280120000057
average fluid loss velocity, m/s.
In this embodiment, in step S4, the effective acting distance of the acid solution is:
Figure BDA0003312280120000058
in the formula: x is the effective action distance of the acid solution, m; l-dimensionless effective working distance, m; u. of0-average fracture entrance end flow velocity, m/s;
Figure BDA0003312280120000059
-average fluid loss velocity, m/s;
Figure BDA00033122801200000510
average width of the crack, m.
The embodiments described above are some, but not all embodiments of the present application. The detailed description of the embodiments of the present application is not intended to limit the scope of the claimed application, but is merely representative of selected embodiments of the application. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present application.

Claims (9)

1. An acid liquor effective action distance calculation method considering earthworm pore filtration loss is characterized by comprising the following steps:
s1, calculating the total filter loss coefficient of earthworm holes through the compressibility filter loss coefficient, the wall-building filter loss coefficient and the viscous filter loss coefficient of the earthworm holes;
s2, calculating an average filtration rate through the total filtration coefficient and the construction time calculated in the step S1, and calculating the length of the dynamic crack through the discharge capacity, the crack height and the construction time;
s3, calculating the average width of the crack through acid liquid viscosity, discharge capacity, dynamic crack length, crack height and rock elastic modulus, and calculating the Peclet number according to the hydrogen ion mass transfer coefficient, the average filtration rate calculated in the step S2 and the average width of the crack;
s4, checking the correlation chart according to the peclet number calculated in the step S3 to obtain a corresponding dimensionless effective action distance, calculating the average flow speed of the crack inlet end according to the discharge capacity, the average width of the crack and the crack height, and finally calculating the effective action distance of the acid liquid according to the dimensionless effective action distance, the average flow speed of the crack inlet end, the average filtration rate and the average crack width.
2. The method for calculating the effective acting distance of acid liquor considering earthworm foramen fluid loss according to claim 1, wherein in the step S1, the total fluid loss coefficient of earthworm foramen is calculated as:
Figure FDA0003312280110000011
in the formula: cc-compressibility fluid loss coefficient; cw-wall build fluid loss coefficient; cv,wh-viscous fluid loss coefficient of wormholes; c-total fluid loss coefficient of earthworm hole.
3. The method for calculating the effective acting distance of acid liquor considering earthworm foramen fluid loss as claimed in claim 2, wherein in step S1, the method for calculating the viscous fluid loss coefficient of earthworm foramen comprises:
Figure FDA0003312280110000012
in the formula: PV (photovoltaic)bt-the pore volume required for acid breakthrough of the core in the core displacement experiment; cv-viscous fluid loss coefficient; cv,wh-viscous fluid loss coefficient of wormhole.
4. The method for calculating the effective acting distance of acid liquor considering earthworm pore fluid loss as recited in claim 1, wherein in step S2, the formula for calculating the average fluid loss velocity is:
Figure FDA0003312280110000021
in the formula: t-the construction time for injecting the fracturing fluid, min; c-total filtration loss coefficient of earthworm holes.
5. The method for calculating the effective acting distance of acid liquor considering earthworm pore fluid loss as claimed in claim 1, wherein in step S2, the formula for calculating the dynamic fracture length is as follows:
Figure FDA0003312280110000022
in the formula: l isD-dynamic fracture length, m; q-displacement, m3Min; h-seam height, m; c, total filtration loss coefficient of earthworm holes; t-construction time, min.
6. The method for calculating the effective acting distance of acid liquor considering earthworm pore fluid loss according to claim 1, wherein in step S3, the formula for calculating the average width of the crack is as follows:
Figure FDA0003312280110000023
in the formula:
Figure FDA0003312280110000024
-average width of cracks, m; μ -acid viscosity, mPa · s; g is rock elastic model, MPa; q-displacement, m3Min; h-seam height, m; l isD-dynamic fracture length.
7. The method of claim 1, wherein in step S3, the peclet number is calculated as:
Figure FDA0003312280110000025
in the formula: n is a radical ofp-peculiA number of bits; dH+Hydrogen ion mass transfer coefficient, cm2/s;
Figure FDA0003312280110000026
Average width of the crack, m.
8. The method for calculating the effective acting distance of acid liquor considering earthworm pore fluid loss as claimed in claim 1, wherein in step S4, the average flow velocity at the inlet end of the fracture is calculated as:
Figure FDA0003312280110000027
in the formula: u. of0-average fracture entrance end flow velocity, m/s;
Figure FDA0003312280110000028
-average width of cracks, m; h-seam height, m; u. of0-average fracture entrance end flow velocity, m/s;
Figure FDA0003312280110000029
average fluid loss velocity, m/s.
9. The method for calculating an effective acting distance of acid liquor considering earthworm pore fluid loss as claimed in claim 1, wherein in step S4, the effective acting distance of acid liquor is calculated as follows:
Figure FDA0003312280110000031
in the formula: x is the effective action distance of the acid solution, m; l-dimensionless effective working distance, m; u. of0-average fracture entrance end flow velocity, m/s;
Figure FDA0003312280110000032
-average fluid loss velocity, m/s;
Figure FDA0003312280110000033
average width of the crack, m.
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Publication number Priority date Publication date Assignee Title
CN110609974A (en) * 2019-09-09 2019-12-24 西南石油大学 Acid fracturing fracture dynamic fluid loss calculation method considering wormhole expansion
CN111197476A (en) * 2020-01-08 2020-05-26 西南石油大学 Acid fracturing fracture body etching form calculation method considering complex fluid loss medium

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Publication number Priority date Publication date Assignee Title
CN110609974A (en) * 2019-09-09 2019-12-24 西南石油大学 Acid fracturing fracture dynamic fluid loss calculation method considering wormhole expansion
CN111197476A (en) * 2020-01-08 2020-05-26 西南石油大学 Acid fracturing fracture body etching form calculation method considering complex fluid loss medium

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