CN111324938A - Method and system for calculating air supply capacity of substrate - Google Patents
Method and system for calculating air supply capacity of substrate Download PDFInfo
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Abstract
The invention provides a method and a system for calculating air supply capacity of a substrate. The method for calculating the air supply capacity of the substrate comprises the following steps: measuring a plurality of bottom-hole shut-in pressures that vary with time during a bottom-hole shut-in pressure recovery process; calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures which change along with time; and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time. The method can accurately evaluate the gas supply capacity of the matrix system to the crack.
Description
Technical Field
The invention relates to the field of exploitation and analysis of petroleum and natural gas, in particular to a method and a system for calculating gas supply capacity of a substrate.
Background
Under the common condition, the fractured gas reservoir has two sets of reservoir spaces of fractures and matrixes, and has the characteristics of large difference between dynamic reserves and static reserves, descending of yield blocks and the like in the development process, namely the production characteristics of a fracture system. The size of the gas supply capacity of the matrix is the key for realizing long-term high and stable yield of the gas reservoir, but the gas supply capacity of the matrix system to the cracks cannot be accurately evaluated at present.
Disclosure of Invention
The embodiment of the invention mainly aims to provide a method and a system for calculating the gas supply capacity of a matrix, so as to accurately evaluate the gas supply capacity of the matrix system to a crack.
In order to achieve the above object, an embodiment of the present invention provides a method for calculating a substrate gas supply capacity, including:
measuring a plurality of bottom-hole shut-in pressures that vary with time during a bottom-hole shut-in pressure recovery process;
calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures which change along with time;
and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
In one embodiment, the substrate gas supply capacity is calculated by the following formula:
wherein q iscCapacity to supply gas to the substrate, piIs the original formation pressure, ZiNatural gas deviation factor corresponding to original formation pressure, p is bottom hole shut-in pressureForce, Z (p) is a natural gas deviation factor corresponding to the bottom hole shut-in pressure, G is the original natural gas reserve,
the first derivative of the bottom hole shut-in pressure with time.
In one embodiment, after calculating the first derivative of the bottom-hole shut-in pressure with time, the method further comprises:
judging whether the matrix supplies gas to the crack or not according to the first-order derivative of the bottom-hole shut-in pressure data and time;
when the matrix supplies gas to the fracture, the gas supply capacity of the matrix is calculated according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
In one embodiment, determining whether the matrix supplies gas to the fracture based on the first derivative of the downhole shut-in pressure data and time comprises:
according to the first derivative of the bottom-hole shut-in pressure data and time, calculating a second derivative of the bottom-hole shut-in pressure data and time;
judging whether the absolute value of the second derivative after a preset time is smaller than a preset threshold value or not;
when the second derivative is less than a predetermined threshold, the matrix supplies gas to the fracture.
The embodiment of the invention also provides a system for calculating the air supply capacity of the substrate, which comprises:
the measuring module is used for measuring a plurality of bottom-hole shut-in pressures which change along with time in the process of recovering the bottom-hole shut-in pressure;
the first derivative calculation module is used for calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures changing along with time;
and the matrix gas supply capacity calculation module is used for calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
In one embodiment, the substrate gas supply capacity is calculated by the following formula:
wherein q iscCapacity to supply gas to the substrate, piIs the original formation pressure, ZiIs a natural gas deviation factor corresponding to the original formation pressure, p is the bottom hole shut-in pressure, Z (p) is a natural gas deviation factor corresponding to the bottom hole shut-in pressure, G is the original natural gas reserve,
the first derivative of the bottom hole shut-in pressure with time.
In one embodiment, the method further comprises the following steps:
and the judging module is used for judging whether the matrix supplies gas to the crack or not according to the first-order derivative of the bottom-hole shut-in pressure data and the time.
In one embodiment, the determining module is specifically configured to:
according to the first derivative of the bottom-hole shut-in pressure data and time, calculating a second derivative of the bottom-hole shut-in pressure data and time;
and judging whether the absolute value of the second derivative after a preset time is smaller than a preset threshold value.
The embodiment of the present invention further provides a computer device, which includes a memory, a processor, and a computer program stored in the memory and capable of running on the processor, and when the processor executes the computer program, the following steps are implemented:
measuring a plurality of bottom-hole shut-in pressures that vary with time during a bottom-hole shut-in pressure recovery process;
calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures which change along with time;
and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
An embodiment of the present invention further provides a computer-readable storage medium, on which a computer program is stored, where the computer program, when executed by a processor, implements the following steps:
measuring a plurality of bottom-hole shut-in pressures that vary with time during a bottom-hole shut-in pressure recovery process;
calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures which change along with time;
and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
According to the method and the system for calculating the matrix gas supply capacity, disclosed by the embodiment of the invention, a plurality of bottom hole shut-in pressures changing along with time are measured in the bottom hole shut-in pressure recovery process, then the first-order derivative of the bottom hole shut-in pressure and the time is calculated according to the plurality of bottom hole shut-in pressures changing along with time, and finally the matrix gas supply capacity is calculated according to the original formation pressure, the natural gas deviation factor corresponding to the bottom hole shut-in pressure, the original natural gas storage capacity and the first-order derivative of the bottom hole shut-in pressure and the time, so that the gas supply capacity of a matrix system to a crack can.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings 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 that other drawings can be obtained based on these drawings without creative efforts.
FIG. 1 is a flow chart of a method of calculating the gas supply capacity of a substrate in an embodiment of the present invention;
FIG. 2 is a schematic representation of the first derivative of bottom hole shut-in pressure data with time in an embodiment of the present invention;
FIG. 3 is a block diagram of a computing system for substrate gas supply capability in an embodiment of the invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. 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 invention.
In view of the fact that the prior art cannot accurately evaluate the gas supply capacity of the matrix system to the fracture, the embodiment of the invention provides a calculation method of the gas supply capacity of the matrix, so as to accurately evaluate the gas supply capacity of the matrix system to the fracture. The present invention will be described in detail below with reference to the accompanying drawings.
FIG. 1 is a flow chart of a method of calculating the gas supply capacity of a substrate in an embodiment of the present invention. As shown in fig. 1, the method for calculating the gas supply capacity of the substrate includes:
s101: during a bottom-hole shut-in pressure recovery process, a plurality of bottom-hole shut-in pressures are measured that vary over time.
S102: and calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures changing along with time.
S103: and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
The subject of execution of the method for calculating the gas supply capacity of a substrate shown in fig. 1 may be a computer. As can be seen from the process shown in fig. 1, in the method for calculating the substrate gas supply capacity according to the embodiment of the present invention, a plurality of bottom-hole shut-in pressures that change with time are measured in the process of recovering the bottom-hole shut-in pressure, then a first derivative of the bottom-hole shut-in pressure and time is calculated according to the plurality of bottom-hole shut-in pressures that change with time, and finally the substrate gas supply capacity is calculated according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas storage amount, and the first derivative of the bottom-hole shut-in pressure and time, so that the gas supply capacity of the.
In one embodiment, when the compressibility of rock and fluid is neglected, and there is no water drive, the material balance equation for a volumetric closed gas reservoir is:
in the well closing pressure recovery stage, neglecting the variation of the deviation factor along with the pressure, and deriving the above balance equation with respect to time, the following can be obtained:
by the above derivation, the following formula can be obtained to calculate the substrate gas supply capacity:
wherein q iscThe air supply capacity of the substrate is measured in units of ten thousand cubic meters per day; p is a radical ofiRaw formation pressure in megapascals (Mpa); ziThe natural gas deviation factor corresponding to the original formation pressure is dimensionless; p is the bottom hole shut-in pressure in megapascals; z (p) is a natural gas deviation factor corresponding to the bottom hole shut-in pressure p, and is dimensionless; g is the original natural gas reserve in billions of cubic meters; gpThe unit is billionth cubic meters for the accumulative output of natural gas reserves;
the first derivative of the bottom hole shut-in pressure with time.
Wherein, after executing S102, determining whether the matrix supplies gas to the fracture according to a first derivative of the bottom hole shut-in pressure data and time; when the substrate supplies gas to the fracture, S103 is performed.
In one embodiment, a second derivative of the bottom hole shut-in pressure data with time may be calculated based on the first derivative of the bottom hole shut-in pressure data with time; judging whether the absolute value of the second derivative after a preset time is smaller than a preset threshold value or not; and when the second derivative is smaller than the preset threshold value, the first derivative of the bottom hole shut-in pressure and the time tends to be stable in the later stage, which indicates that the matrix supplies gas to the crack at the moment, and the value of the first derivative after the stability is recorded. Specifically, regardless of the reservoir, the recovery of the bottom-hole shut-in pressure is slower and slower as the shut-in time continues, so that the first derivative of the bottom-hole shut-in pressure with time is a decreasing function. If the first derivative value stops decreasing and keeps unchanged in the later period of shut-in, the gas supply of the matrix to the fracture reaches the balance.
One of the specific embodiments of the present invention is as follows:
1. during a bottom-hole shut-in pressure recovery process, a plurality of bottom-hole shut-in pressures are measured that vary over time.
2. Calculating the first derivative of the bottom-hole shut-in pressure and the time according to a plurality of bottom-hole shut-in pressures changing along with the time
FIG. 2 is a schematic representation of the first derivative of bottom hole shut-in pressure data with time in an embodiment of the present invention. As shown in FIG. 2, the horizontal axis of FIG. 2 represents shut-in time in hours, and the vertical axis represents the first derivative of the downhole shut-in pressure data with time
The unit is kilopascals per hour.
3. And judging whether the matrix supplies gas to the fracture or not according to the first-order derivative of the bottom-hole shut-in pressure data and the time. According to the first derivative of the bottom-hole shut-in pressure data and time, the second derivative of the bottom-hole shut-in pressure data and time is calculated; judging whether the absolute value of the second derivative after a preset time is smaller than a preset threshold value or not; bottom-hole shut-in pressure and time when the second derivative is less than a predetermined thresholdThe first derivative tends to stabilize at a later stage, indicating that the matrix is now gassing the fracture. As shown in FIG. 2, after shutting in for 10 hours, the first derivative of the downhole shut in pressure data with time
The stability is reached, the value is 1.0 kilopascal/hour, and the phenomenon of substrate gas supply exists.
4. And calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
In this embodiment, the value of the natural gas deviation factor Z (p) corresponding to the bottom hole shut-in pressure p is 1.65, and the value of the natural gas deviation factor Z corresponding to the original formation pressureiHas a value of 1.70, the original formation pressure pi120.0Mpa, original natural gas reserve G of 40.0 billion cubic meters, and substrate gas supply capacity qcComprises the following steps:
to sum up, the method for calculating the substrate gas supply capacity according to the embodiment of the invention includes measuring a plurality of bottom hole shut-in pressures changing along with time in the process of recovering the bottom hole shut-in pressures, then calculating the first derivative of the bottom hole shut-in pressures and time according to the plurality of bottom hole shut-in pressures changing along with time, and finally calculating the substrate gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom hole shut-in pressures, the original natural gas storage capacity and the first derivative of the bottom hole shut-in pressures and time, so that the gas supply capacity of a substrate system to a fracture can be accurately evaluated.
Based on the same inventive concept, the embodiment of the invention also provides a system for calculating the gas supply capacity of the substrate, and as the principle of solving the problems of the system is similar to the method for calculating the gas supply capacity of the substrate, the implementation of the system can be referred to the implementation of the method, and repeated parts are not described again.
FIG. 3 is a block diagram of a computing system for substrate gas supply capability in an embodiment of the invention. As shown in fig. 3, a computing system for substrate gas supply capacity includes:
the measuring module is used for measuring a plurality of bottom-hole shut-in pressures which change along with time in the process of recovering the bottom-hole shut-in pressure;
the first derivative calculation module is used for calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures changing along with time;
and the matrix gas supply capacity calculation module is used for calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
In one embodiment, the substrate gas supply capacity is calculated by the following formula:
wherein q iscCapacity to supply gas to the substrate, piIs the original formation pressure, ZiIs a natural gas deviation factor corresponding to the original formation pressure, p is the bottom hole shut-in pressure, Z (p) is a natural gas deviation factor corresponding to the bottom hole shut-in pressure, G is the original natural gas reserve,
the first derivative of the bottom hole shut-in pressure with time.
In one embodiment, the method further comprises the following steps:
and the judging module is used for judging whether the matrix supplies gas to the crack or not according to the first-order derivative of the bottom-hole shut-in pressure data and the time.
In one embodiment, the determining module is specifically configured to:
according to the first derivative of the bottom-hole shut-in pressure data and time, calculating a second derivative of the bottom-hole shut-in pressure data and time;
and judging whether the absolute value of the second derivative after a preset time is smaller than a preset threshold value.
To sum up, the calculation system for substrate gas supply capacity according to the embodiment of the present invention measures a plurality of bottom-hole shut-in pressures changing with time in the bottom-hole shut-in pressure recovery process, then calculates a first derivative of the bottom-hole shut-in pressure and time according to the plurality of bottom-hole shut-in pressures changing with time, and finally calculates the substrate gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas storage amount, and the first derivative of the bottom-hole shut-in pressure and time, so that the gas supply capacity of the substrate system to the fracture can be accurately evaluated.
The embodiment of the present invention further provides a computer device, which includes a memory, a processor, and a computer program stored in the memory and capable of running on the processor, and when the processor executes the computer program, the following steps are implemented:
measuring a plurality of bottom-hole shut-in pressures that vary with time during a bottom-hole shut-in pressure recovery process;
calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures which change along with time;
and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
To sum up, the computer device of the embodiment of the invention measures a plurality of bottom shut-in pressures changing along with time in the process of recovering the bottom shut-in pressure, then calculates the first derivative of the bottom shut-in pressure and time according to the bottom shut-in pressures changing along with time, and finally calculates the gas supply capacity of the matrix according to the original formation pressure, the natural gas deviation factor corresponding to the bottom shut-in pressure, the original natural gas reserve and the first derivative of the bottom shut-in pressure and time, so that the gas supply capacity of the matrix system to the fracture can be accurately evaluated.
An embodiment of the present invention further provides a computer-readable storage medium, on which a computer program is stored, where the computer program, when executed by a processor, implements the following steps:
measuring a plurality of bottom-hole shut-in pressures that vary with time during a bottom-hole shut-in pressure recovery process;
calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures which change along with time;
and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
To sum up, the computer-readable storage medium of the embodiment of the present invention measures a plurality of bottom-hole shut-in pressures varying with time in the bottom-hole shut-in pressure recovery process, then calculates a first derivative of the bottom-hole shut-in pressure and time according to the plurality of bottom-hole shut-in pressures varying with time, and finally calculates the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas storage capacity, and the first derivative of the bottom-hole shut-in pressure and time, so that the gas supply capacity of the matrix system to the fracture can be accurately evaluated.
The above-mentioned embodiments are intended to illustrate the objects, technical solutions and advantages of the present invention in further detail, and it should be understood that the above-mentioned embodiments are only exemplary embodiments of the present invention, and are not intended to limit the scope of the present invention, and any modifications, equivalent substitutions, improvements and the like made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (10)
1. A method of calculating a gas supply capacity of a substrate, comprising:
measuring a plurality of bottom-hole shut-in pressures that vary with time during a bottom-hole shut-in pressure recovery process;
calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures changing along with the time;
and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
2. The method of claim 1, wherein the substrate gas supply capacity is calculated by the following formula:
wherein q iscCapacity to supply gas to the substrate, piIs the original formation pressure, ZiIs a natural gas deviation factor corresponding to the original formation pressure, p is the bottom hole shut-in pressure, Z (p) is a natural gas deviation factor corresponding to the bottom hole shut-in pressure, G is the original natural gas reserve,
the first derivative of the bottom hole shut-in pressure with time.
3. The method of calculating substrate gas supply capacity according to claim 1, wherein after calculating the first derivative of the bottom-hole shut-in pressure with time, further comprising:
judging whether the matrix supplies gas to the crack or not according to the first-order derivative of the bottom-hole shut-in pressure data and the time;
when the matrix supplies gas to the fracture, the gas supply capacity of the matrix is calculated according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
4. The method for calculating the gas supply capacity of the matrix according to claim 3, wherein the step of judging whether the matrix supplies gas to the fracture according to the first derivative of the bottom-hole shut-in pressure data and the time comprises the following specific steps:
according to the first derivative of the bottom-hole shut-in pressure data and time, calculating a second derivative of the bottom-hole shut-in pressure data and time;
judging whether the absolute value of the second derivative after a preset time is smaller than a preset threshold value or not;
and when the second derivative is smaller than the preset threshold value, the substrate supplies gas to the crack.
5. A system for calculating the gas supply capacity of a substrate, comprising:
the measuring module is used for measuring a plurality of bottom-hole shut-in pressures which change along with time in the process of recovering the bottom-hole shut-in pressure;
the first derivative calculation module is used for calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures changing along with the time;
and the matrix gas supply capacity calculation module is used for calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
6. The system of claim 5, wherein the substrate gas supply capacity is calculated by the formula:
wherein q iscCapacity to supply gas to the substrate, piIs the original formation pressure, ZiIs a natural gas deviation factor corresponding to the original formation pressure, p is the bottom hole shut-in pressure, Z (p) is a natural gas deviation factor corresponding to the bottom hole shut-in pressure, G is the original natural gas reserve,
the first derivative of the bottom hole shut-in pressure with time.
7. The system of claim 5, further comprising:
and the judging module is used for judging whether the matrix supplies gas to the crack or not according to the first-order derivative of the bottom-hole shut-in pressure data and the time.
8. The system of claim 7, wherein the determining module is specifically configured to:
according to the first derivative of the bottom-hole shut-in pressure data and time, calculating a second derivative of the bottom-hole shut-in pressure data and time;
and judging whether the absolute value of the second derivative after a preset time is smaller than a preset threshold value.
9. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor when executing the computer program implements the steps of:
measuring a plurality of bottom-hole shut-in pressures that vary with time during a bottom-hole shut-in pressure recovery process;
calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures changing along with the time;
and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
10. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out the steps of:
measuring a plurality of bottom-hole shut-in pressures that vary with time during a bottom-hole shut-in pressure recovery process;
calculating a first derivative of the bottom-hole shut-in pressure and time according to the bottom-hole shut-in pressures changing along with the time;
and calculating the matrix gas supply capacity according to the original formation pressure, the natural gas deviation factor corresponding to the bottom-hole shut-in pressure, the original natural gas reserve and the first derivative of the bottom-hole shut-in pressure and time.
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