CN112922590A - Method for evaluating gas well productivity through index correction based on abnormal productivity well testing data - Google Patents
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Abstract
The invention discloses a method for evaluating gas well productivity by performing index correction based on abnormal productivity well testing data, which comprises the following steps: 1: acquiring the measured gas production rate of the gas well, the gas well shut-in recovery formation pressure and the bottom hole flowing pressure from the abnormal productivity well testing information; 2: drawing an exponential function curve in a rectangular coordinate system according to the actually measured gas production rate, the gas well shut-in recovery formation pressure and the bottom hole flowing pressure to obtain a correction coefficient; 3: obtaining a corrected pressure square error according to the gas well shut-in recovery formation pressure, the bottom hole flowing pressure and the correction coefficient; 4: and performing linear regression in a rectangular coordinate system to obtain a capacity indicating curve according to the corrected pressure square difference and the actually measured gas production rate, obtaining a capacity coefficient according to the capacity indicating curve, constructing a capacity equation according to the capacity coefficient and calculating to obtain the predicted gas production rate of the gas well. According to the method, the index correction is carried out based on the abnormal productivity well testing data of the gas well, the productivity of the gas well is evaluated by using the corrected productivity equation, and the accuracy of the productivity evaluation result of the gas well can be effectively improved.
Description
Technical Field
The invention belongs to the development field of oil-gas exploration and development, and particularly relates to a method for evaluating gas well productivity by performing index correction on abnormal productivity well testing data.
Background
In the gas field exploration and development process, the accurate acquisition of the gas well productivity is the basis for scientific gas field development, and the acquisition of the gas well productivity needs to evaluate the gas well productivity well testing data. However, in the process of productivity well testing operation, the field condition limit or other factors may affect the operation, deviation of the recorded yield and pressure data in different degrees often exists, the coefficient a or B of the binomial productivity equation is negative, the index n of the exponential productivity equation is greater than 1, so that the gas well productivity cannot be evaluated, a trial and error method is usually adopted to correct abnormal productivity well testing data, and because the trial and error method is greatly affected by human factors, many correction coefficients may exist in a certain precision range, and it cannot be determined which correction coefficient evaluated result most accords with the real gas well productivity condition, so that the reliability of the evaluated result is low, and the gas well productivity cannot be accurately obtained.
In addition, a document with publication number CN112196513A discloses a method for predicting the productivity of shale gas wells in the romanxi group based on horizontal well trajectory evaluation, and the method combines the traversing trajectory of a horizontal segment in a small layer and the quality of a reservoir layer, and adopts a shale gas productivity prediction calculation model established based on the trajectory. However, in practical applications, the technology is only based on theoretical formula derivation to calculate the productivity, and the accuracy of the final result is not high.
Disclosure of Invention
The invention aims to overcome the problems in the prior art and provides a method for evaluating the productivity of a gas well by performing index correction based on abnormal productivity well testing data.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a method for evaluating gas well productivity through index correction based on abnormal productivity well testing data is characterized by comprising the following steps:
step 1: acquiring the measured gas production rate of the gas well, the gas well shut-in recovery formation pressure and the bottom hole flowing pressure from the abnormal productivity well testing information;
step 2: drawing an exponential function curve in a rectangular coordinate system according to the actually measured gas production rate, the gas well shut-in recovery formation pressure and the bottom hole flowing pressure to obtain a correction coefficient;
and step 3: obtaining a corrected pressure square error according to the gas well shut-in recovery formation pressure, the bottom hole flowing pressure and the correction coefficient;
and 4, step 4: and performing linear regression in a rectangular coordinate system to obtain a capacity indicating curve according to the corrected pressure square difference and the actually measured gas production rate, obtaining a capacity coefficient according to the capacity indicating curve, constructing a capacity equation according to the capacity coefficient and calculating to obtain the predicted gas production rate of the gas well.
In the step 1, the abnormal productivity well testing data is abnormal productivity well testing data in the back pressure well testing process or abnormal productivity well testing data in the correction isochronous well testing process.
In the step 2, when the abnormal productivity well testing data is the abnormal productivity well testing data during the back pressure well testing, an exponential function curve is drawn in a rectangular coordinate system according to the measured gas production rate of the ith working system of the productivity well testing and the pressure square difference between the gas well shut-in recovery formation pressure and the bottom hole flowing pressure of the ith working system, wherein i is 1,2, …,4 or 5.
In the step 2, the shut-in recovery formation pressure of the gas well is set to be pwsThe bottom hole flowing pressure of the ith working system of the productivity well testing is pwfiThen the gas well is shut in to recover the formation pressure pwsBottom hole flow pressure p with i-th working regimewfiHas a pressure squared difference of
In step 3, the corrected pressure square error is obtained by subtracting a correction coefficient from the pressure square error obtained in step 2, and if the corrected pressure square error is set to be M and the correction coefficient is s:
in the step 2, when the abnormal productivity well testing data is the abnormal productivity well testing data during the corrected isochronous well testing, an exponential function curve is drawn in a rectangular coordinate system according to the measured gas production rate of the ith working system of the productivity well testing and the pressure square difference between the shut-in formation pressure of the ith working system and the bottom hole flowing pressure of the ith working system, wherein i is 1,2, …,4 or 5.
In the step 2, the shut-in recovery formation pressure of the ith working system of the productivity well testing is set to be pwsiThe bottom hole flow pressure of the i-th working system is pwfiThen the shut-in of the ith working regime restores the formation pressure pwsiBottom hole flow pressure p with i-th working regimewfiHas a pressure squared difference of
In step 3, the corrected pressure square error is obtained by subtracting a correction coefficient from the pressure square error obtained in step 2, and if the corrected pressure square error is set to be M and the correction coefficient is s:
in the step 4, a productivity indicating curve is obtained by linear regression in a rectangular coordinate system according to the calculated result of dividing the actually measured gas production and the corrected pressure square error by the actually measured gas production, a binomial capacity equation coefficient is obtained from the productivity indicating curve, a binomial capacity equation is constructed according to the binomial capacity equation coefficient, and finally the predicted gas production of the gas well is calculated according to the binomial capacity equation;
the constructed gas well binomial energy production equation is as follows:
in the formula: p is a radical ofws-gas well shut-in recovery formation pressure, MPa;
pwf-gas well bottom hole flow pressure, MPa;
qgprediction of gas production, 104m3/d；
A-the laminar coefficient of a binomial energy production equation, namely the intercept of a linear regression line;
the B-binomial energy production equation turbulence coefficient is also the slope of the linear regression line.
In the step 4, common logarithms are respectively taken for the corrected pressure square difference and the actually measured gas production rate, then a capacity indicating curve is obtained through linear regression in a rectangular coordinate system, a regression line intercept and a slope are obtained from the capacity indicating curve, the regression line intercept and the slope are converted into exponential capacity equation coefficients, an exponential capacity equation is constructed according to the exponential capacity equation coefficients, and finally the predicted gas production rate of the gas well is calculated according to the exponential capacity equation;
specifically, the calculation method of the predicted gas production rate of the gas well comprises the following steps:
setting the intercept of the regression line as a and the slope as b, wherein the coefficients of the converted exponential productivity equation are C, n respectively, and n is more than or equal to 0.5 and less than or equal to 1, then:
C＝10-a/b
n＝1/b
in the formula: p is a radical ofws-gas well shut-in recovery formation pressure, MPa;
pwf-gas well bottom hole flow pressure, MPa;
qgprediction of gas production, 104m3/d。
The invention has the advantages that:
1. firstly, drawing an exponential function curve for actually measured gas production and pressure square difference in a rectangular coordinate system to obtain a correction coefficient; then subtracting the correction coefficient by using the pressure square error to obtain a corrected pressure square error; and finally, performing linear regression in a rectangular coordinate system by using the actually measured gas production rate and the corrected pressure square difference to obtain a capacity indicating curve, obtaining a capacity coefficient from the capacity indicating curve, and constructing a capacity equation according to the capacity coefficient to evaluate the gas well capacity.
2. The method can accurately evaluate the productivity of the gas well by using the abnormal productivity well testing data of the gas well, can avoid the resource emptying loss caused by retesting, and greatly saves the cost.
3. The method adopts the exponential function to correct the abnormal productivity data of the gas well to obtain the unique correction coefficient, avoids the phenomenon that a plurality of correction coefficients appear when the trial and error method is used for correcting the abnormal productivity data, and can effectively improve the accuracy of the evaluation result of the gas well productivity.
Drawings
FIG. 1 is a block flow diagram of the present invention;
FIG. 2 is a schematic diagram of the gas well productivity evaluation yield and pressure value during back pressure well testing according to the present invention;
FIG. 3 is a schematic diagram of exponential function regression in accordance with the present invention;
FIG. 4 is a schematic diagram of a linear regression of a binomial capacity equation in accordance with the present invention;
FIG. 5 is a schematic diagram of the gas well productivity evaluation yield and pressure values during the correction of the isochronous well test according to the present invention;
FIG. 6 is a diagram illustrating linear regression of the exponential productivity equation in the present invention.
Detailed Description
Example 1
Because the productivity well testing comprises back pressure well testing and correction isochronous well testing, the abnormal productivity well testing information also comprises abnormal productivity well testing information during back pressure well testing or abnormal productivity well testing information during correction isochronous well testing. Based on this, the embodiment discloses a method for performing index correction and evaluating gas well productivity based on abnormal productivity well testing data during back pressure well testing, as shown in fig. 1, the method includes the following steps:
step 1: acquiring the measured gas production rate of the gas well, the gas well shut-in recovery formation pressure and the bottom flowing pressure from the abnormal productivity well testing information, and setting the measured gas production rate to be q and the bottom flowing pressure to be pwfGas well shut-in recovery formation pressure is pwsThe actually measured gas production of the ith working system is qiThe bottom hole flow pressure of the i-th working system is pwfiAnd i is 1,2, …,4 or 5. The values of the actually measured gas production rate, the bottom hole flowing pressure and the gas well shut-in recovery formation pressure are shown in figure 2.
Step 2: recovering the formation pressure p according to the actually measured gas production q and the gas well shut-inwsAnd bottom hole flow pressure pwfAnd drawing an exponential function curve in a rectangular coordinate system, wherein the drawn exponential function curve is shown in FIG. 3, and then obtaining the correction coefficient by the exponential function.
Specifically, the actually measured gas production q is measured according to the ith working system of the productivity well testingiAnd gas well shut-in to recover formation pressure pwsBottom hole flow pressure p with i-th working regimewfiThe square difference of the pressure in the rectangular coordinate system is used for drawing an exponential function curve.
Further, the gas well is shut in to recover the formation pressure pwsBottom hole flow pressure p with i-th working regimewfiHas a pressure squared difference of
And step 3: recovering formation pressure p from gas well shut-inwsBottom hole flow pressure pwfAnd the correction coefficient to derive a corrected pressure squared error.
Specifically, the corrected pressure square error is obtained by subtracting a correction coefficient from the pressure square error obtained in step 2, and if the corrected pressure square error is set to be M and the correction coefficient is s, then:
and 4, step 4: and performing linear regression in a rectangular coordinate system according to the corrected pressure square difference M and the actually measured gas production q to obtain a capacity indicating curve, obtaining a capacity coefficient according to the capacity indicating curve, constructing a capacity equation according to the capacity coefficient and calculating to obtain the predicted gas production of the gas well.
Specifically, the step comprises the following two ways of evaluating the productivity:
the first method comprises the following steps: the method comprises the steps of performing linear regression in a rectangular coordinate system according to a calculation result of dividing an actually measured gas production q by an actually measured gas production q and a corrected pressure square error M to obtain a capacity indicating curve, obtaining binomial capacity equation coefficients A and B according to the capacity indicating curve, constructing a binomial capacity equation according to the binomial capacity equation coefficients A and B, and calculating according to the binomial capacity equation indicating curve as shown in FIG. 4 to obtain the predicted gas production of the gas well.
The constructed gas well binomial energy production equation is as follows:
in the formula: p is a radical ofws-gas well shut-in recovery formation pressure, MPa;
pwf-gas well bottom hole flow pressure, MPa;
qgprediction of gas production, 104m3/d；
A-the laminar coefficient of a binomial energy production equation, namely the intercept of a linear regression line;
the B-binomial energy production equation turbulence coefficient is also the slope of the linear regression line.
And the second method comprises the following steps: the method comprises the steps of firstly, respectively taking common logarithms for a corrected pressure square difference M and an actually measured gas production q, then carrying out linear regression in a rectangular coordinate system to obtain a capacity indicating curve, obtaining a regression line intercept a and a slope b from the capacity indicating curve, converting the regression line intercept a and the slope b into exponential capacity equation coefficients C, n, wherein n is more than or equal to 0.5 and less than or equal to 1, constructing an exponential capacity equation according to the exponential capacity equation coefficients C, n, wherein the exponential capacity equation indicating curve is shown in figure 6, and finally calculating the predicted gas production of the gas well according to the exponential capacity equation.
Specifically, the calculation method of the predicted gas production rate of the gas well comprises the following steps:
the conversion formula of the exponential productivity equation coefficient C is as follows:
C＝10-a/b
the conversion formula of the coefficient n of the exponential productivity equation is as follows:
n＝1/b
the exponential productivity equation is:
in the formula: p is a radical ofws-gas well shut-in recovery formation pressure, MPa;
pwf-gas well bottom hole flow pressure, MPa;
qgprediction of gas production, 104m3/d。
After the predicted gas production rate of the gas well is calculated by adopting the method, the current productivity of the gas well can be determined, the future productivity of the gas well can be effectively predicted, and powerful support is provided for exploitation of the gas well.
Example 2
Because the productivity well testing comprises back pressure well testing and correction isochronous well testing, the abnormal productivity well testing information also comprises abnormal productivity well testing information during back pressure well testing or abnormal productivity well testing information during correction isochronous well testing. Based on this, the present embodiment discloses a method for performing index correction and evaluating gas well productivity based on abnormal productivity well testing data during isochronous well testing, as shown in fig. 1, which includes the following steps:
step 1: acquiring the measured gas production rate of the gas well, the gas well shut-in recovery formation pressure and the bottom flowing pressure from the abnormal productivity well testing information, and setting the measured gas production rate to be q and the bottom flowing pressure to be pwfGas well shut-in recovery formation pressure is pwsThe actually measured gas production of the ith working system is qiThe bottom hole flow pressure of the i-th working system is pwfiThe shut-in recovery formation pressure of the ith working regime is pwsiAnd i is 1,2, …,4 or 5. The values of the actually measured gas production rate, the bottom hole flowing pressure and the gas well shut-in recovery formation pressure are shown in fig. 5.
Step 2: recovering the formation pressure p according to the actually measured gas production q and the gas well shut-inwsAnd bottom hole flow pressure pwfAnd drawing an exponential function curve in a rectangular coordinate system, wherein the drawn exponential function curve is shown in FIG. 3, and then obtaining the correction coefficient by the exponential function.
Specifically, the actually measured gas production q is measured according to the ith working system of the productivity well testingiAnd shut-in recovery of formation pressure p for the ith operating regimewsiBottom hole flow pressure p with i-th working regimewfiThe square difference of the pressure in the rectangular coordinate system is used for drawing an exponential function curve.
Further, shut-in of the ith working regime restores formation pressure pwsiBottom hole flow pressure p with i-th working regimewfiHas a pressure squared difference of
And step 3: recovering formation pressure p from gas well shut-inwsBottom hole flow pressure pwfAnd the correction coefficient to derive a corrected pressure squared error.
Specifically, the corrected pressure square error is obtained by subtracting a correction coefficient from the pressure square error obtained in step 2, and if the corrected pressure square error is set to be M and the correction coefficient is s, then:
and 4, step 4: and performing linear regression in a rectangular coordinate system according to the corrected pressure square difference M and the actually measured gas production q to obtain a capacity indicating curve, obtaining a capacity coefficient according to the capacity indicating curve, constructing a capacity equation according to the capacity coefficient and calculating to obtain the predicted gas production of the gas well.
Specifically, the step comprises the following two ways of evaluating the productivity:
the first method comprises the following steps: the method comprises the steps of performing linear regression in a rectangular coordinate system according to a calculation result of dividing an actually measured gas production q by an actually measured gas production q and a corrected pressure square error M to obtain a capacity indicating curve, obtaining binomial capacity equation coefficients A and B according to the capacity indicating curve, constructing a binomial capacity equation according to the binomial capacity equation coefficients A and B, and calculating according to the binomial capacity equation indicating curve as shown in FIG. 4 to obtain the predicted gas production of the gas well.
The constructed gas well binomial energy production equation is as follows:
in the formula: p is a radical ofws-gas well shut-in recovery formation pressure, MPa;
pwf-gas well bottom hole flow pressure, MPa;
qgprediction of gas production, 104m3/d；
A-the laminar coefficient of a binomial energy production equation, namely the intercept of a linear regression line;
the B-binomial energy production equation turbulence coefficient is also the slope of the linear regression line.
And the second method comprises the following steps: the method comprises the steps of firstly, respectively taking common logarithms for a corrected pressure square difference M and an actually measured gas production q, then carrying out linear regression in a rectangular coordinate system to obtain a capacity indicating curve, obtaining a regression line intercept a and a slope b from the capacity indicating curve, converting the regression line intercept a and the slope b into exponential capacity equation coefficients C, n, wherein n is more than or equal to 0.5 and less than or equal to 1, constructing an exponential capacity equation according to the exponential capacity equation coefficients C, n, wherein the exponential capacity equation indicating curve is shown in figure 6, and finally calculating the predicted gas production of the gas well according to the exponential capacity equation.
Specifically, the calculation method of the predicted gas production rate of the gas well comprises the following steps:
the conversion formula of the exponential productivity equation coefficient C is as follows:
C＝10-a/b
the conversion formula of the coefficient n of the exponential productivity equation is as follows:
n＝1/b
the exponential productivity equation is:
in the formula: p is a radical ofws-gas well shut-in recovery formation pressure, MPa;
pwf-gas well bottom hole flow pressure, MPa;
qgprediction of gas production, 104m3/d。
After the predicted gas production rate of the gas well is calculated by adopting the method, the current productivity of the gas well can be determined, the future productivity of the gas well can be effectively predicted, and powerful support is provided for exploitation of the gas well.
While the invention has been described with reference to specific embodiments, any feature disclosed in this specification may be replaced by alternative features serving the same, equivalent or similar purpose, unless expressly stated otherwise; all of the disclosed features, or all of the method or process steps, may be combined in any combination, except mutually exclusive features and/or steps.
Claims (10)
1. A method for evaluating gas well productivity through index correction based on abnormal productivity well testing data is characterized by comprising the following steps:
step 1: acquiring the measured gas production rate of the gas well, the gas well shut-in recovery formation pressure and the bottom hole flowing pressure from the abnormal productivity well testing information;
step 2: drawing an exponential function curve in a rectangular coordinate system according to the actually measured gas production rate, the gas well shut-in recovery formation pressure and the bottom hole flowing pressure to obtain a correction coefficient;
and step 3: obtaining a corrected pressure square error according to the gas well shut-in recovery formation pressure, the bottom hole flowing pressure and the correction coefficient;
and 4, step 4: and performing linear regression in a rectangular coordinate system to obtain a capacity indicating curve according to the corrected pressure square difference and the actually measured gas production rate, obtaining a capacity coefficient according to the capacity indicating curve, constructing a capacity equation according to the capacity coefficient and calculating to obtain the predicted gas production rate of the gas well.
2. The method for evaluating the gas well productivity through exponential correction based on the abnormal productivity well testing data according to claim 1, wherein the method comprises the following steps: in the step 1, the abnormal productivity well testing data is abnormal productivity well testing data in the back pressure well testing process or abnormal productivity well testing data in the correction isochronous well testing process.
3. The method for evaluating the gas well productivity through exponential correction based on the abnormal productivity well testing data as claimed in claim 2, wherein: in the step 2, when the abnormal productivity well testing data is the abnormal productivity well testing data during the back pressure well testing, an exponential function curve is drawn in a rectangular coordinate system according to the measured gas production rate of the ith working system of the productivity well testing and the pressure square difference between the gas well shut-in recovery formation pressure and the bottom hole flowing pressure of the ith working system, wherein i is 1,2, …,4 or 5.
4. The method for evaluating the gas well productivity through exponential correction based on the abnormal productivity well testing data according to claim 3, wherein the method comprises the following steps: in the step 2, the shut-in recovery formation pressure of the gas well is set to be pwsBottom hole flow of ith working regime of productivity well testingDynamic pressure of pwfiThen the gas well is shut in to recover the formation pressure pwsBottom hole flow pressure p with i-th working regimewfiHas a pressure squared difference of
5. The method for evaluating the gas well productivity through exponential correction based on the abnormal productivity well testing data according to claim 4, wherein the method comprises the following steps: in step 3, the corrected pressure square error is obtained by subtracting a correction coefficient from the pressure square error obtained in step 2, and if the corrected pressure square error is set to be M and the correction coefficient is s:
6. the method for evaluating the gas well productivity through exponential correction based on the abnormal productivity well testing data as claimed in claim 2, wherein: in the step 2, when the abnormal productivity well testing data is the abnormal productivity well testing data during the corrected isochronous well testing, an exponential function curve is drawn in a rectangular coordinate system according to the measured gas production rate of the ith working system of the productivity well testing and the pressure square difference between the shut-in formation pressure of the ith working system and the bottom hole flowing pressure of the ith working system, wherein i is 1,2, …,4 or 5.
7. The method for evaluating the gas well productivity through exponential correction based on the abnormal productivity well testing data according to claim 6, wherein the method comprises the following steps: in the step 2, the shut-in recovery formation pressure of the ith working system of the productivity well testing is set to be pwsiThe bottom hole flow pressure of the i-th working system is pwfiThen the shut-in of the ith working regime restores the formation pressure pwsiBottom hole flow pressure p with i-th working regimewfiHas a pressure squared difference of
8. The method for evaluating the gas well productivity through exponential correction based on the abnormal productivity well testing data according to claim 7, wherein the method comprises the following steps: in step 3, the corrected pressure square error is obtained by subtracting a correction coefficient from the pressure square error obtained in step 2, and if the corrected pressure square error is set to be M and the correction coefficient is s:
9. the method for evaluating the gas well productivity through exponential correction based on the abnormal productivity well testing data according to claim 5 or 8, wherein the method comprises the following steps: in the step 4, a productivity indicating curve is obtained by linear regression in a rectangular coordinate system according to the calculated result of dividing the actually measured gas production and the corrected pressure square error by the actually measured gas production, a binomial capacity equation coefficient is obtained from the productivity indicating curve, a binomial capacity equation is constructed according to the binomial capacity equation coefficient, and finally the predicted gas production of the gas well is calculated according to the binomial capacity equation;
the constructed gas well binomial energy production equation is as follows:
in the formula: p is a radical ofws-gas well shut-in recovery formation pressure, MPa;
pwf-gas well bottom hole flow pressure, MPa;
qgprediction of gas production, 104m3/d；
A-the laminar coefficient of a binomial energy production equation, namely the intercept of a linear regression line;
the B-binomial energy production equation turbulence coefficient is also the slope of the linear regression line.
10. The method for evaluating the gas well productivity through exponential correction based on the abnormal productivity well testing data according to claim 5 or 8, wherein the method comprises the following steps: in the step 4, common logarithms are respectively taken for the corrected pressure square difference and the actually measured gas production rate, then a capacity indicating curve is obtained through linear regression in a rectangular coordinate system, a regression line intercept and a slope are obtained from the capacity indicating curve, the regression line intercept and the slope are converted into exponential capacity equation coefficients, an exponential capacity equation is constructed according to the exponential capacity equation coefficients, and finally the predicted gas production rate of the gas well is calculated according to the exponential capacity equation;
specifically, the calculation method of the predicted gas production rate of the gas well comprises the following steps:
setting the intercept of the regression line as a and the slope as b, wherein the coefficients of the converted exponential productivity equation are C, n respectively, and n is more than or equal to 0.5 and less than or equal to 1, then:
C＝10-a/b
n＝1/b
in the formula: p is a radical ofws-gas well shut-in recovery formation pressure, MPa;
pwf-gas well bottom hole flow pressure, MPa;
qgprediction of gas production, 104m3/d。
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