CN109214705B - Gas storage reservoir gas production well number determination method considering gas well productivity change - Google Patents
Gas storage reservoir gas production well number determination method considering gas well productivity change Download PDFInfo
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Abstract
The invention provides a method for determining the number of gas production wells of a gas storage reservoir by considering the capacity change of a gas well, which is implemented by the aid of gas well productionFitting the intersection point of the energy equation and the shaft pipe flow equation to obtain a regression average formation pressure and reasonable daily gas production data functional relation of the gas production well and a fitting functional relation of the average formation pressure and the accumulated gas production, determining the average formation pressure of the gas storage on the ith day, then obtaining the reasonable gas production of the gas storage well on the ith day, and obtaining the number N of the gas production wells required on the ith day in the gas production stage of the gas storage through the peak-shaving gas production of the gas storage on the ith day and the reasonable gas production of the gas well on the ith dayiAnd selecting the maximum value of the number of the gas production wells required every day in the gas production stage of the gas storage as the number J of the gas production wells required by the construction of the gas storage. Compared with the prior art, the method has the advantages that the number of the gas production wells of the gas storage reservoir is determined by considering the gas production capacity change of the gas wells, the method is more suitable for field practice, the calculation is more accurate, and the investment waste is avoided.
Description
Technical Field
The invention belongs to the technical field of natural gas underground storage and gas reservoir engineering, and particularly relates to a method for determining the number of gas production wells of a gas storage reservoir by considering the capacity change of gas wells.
Background
The construction of the gas storage is an important means for regulating the balance of supply and demand of national natural gas and ensuring the national gas supply safety. The calculation of the number of the gas production wells is an important component of the calculation of the construction parameters of the gas storage, the calculation of the number of the gas production wells must ensure that the sum of the gas production capacity of the gas production wells per day meets the requirement of the planned daily gas production of the gas storage, and if the number of the calculated wells is small, the peak regulation of the gas storage cannot reach the planned daily gas production; on the contrary, the large number of the calculation wells causes investment waste.
In the actual operation process of the underground gas storage, the gas production capacity of a gas well changes along with the change of the planned daily gas production of the gas storage, and the gas production capacity of the gas well is different from the change rule of the planned daily gas production of the gas storage, for example, fig. 1 is a comparison graph of a gas production capacity curve of a gas well of a certain gas storage and a planned daily gas production curve of the gas storage, wherein the gas production capacity of the gas well is continuously reduced along with the increase of time, and the planned daily gas production of the gas storage is firstly gradually increased and then gradually reduced. Therefore, the number of gas production wells required by the gas reservoir per day varies, and the time for the occurrence of the maximum number of wells required for the gas production phase is not determined.
At present, scholars at home and abroad mostly do not consider the relationship between the gas production capacity of a gas well and the planned daily gas production rate when calculating the number of gas producing wells of a gas storage, and also do not calculate the number of wells required each day when the gas storage operates, for example, the peak regulation yield and the number of gas producing wells of an underground gas storage design technology in the article of 2013, volume 33, phase 10, natural gas industry, directly give the productivity range of the gas producing wells of 75-35 multiplied by 104m3And then calculating the number of gas production wells required by the construction of the gas storage according to the maximum value and the minimum value of the gas production capacity. The method does not consider the change of the number of gas production wells every day, and cannot accurately calculate the number of the gas production wells required by the construction of the gas storage.
Disclosure of Invention
The invention aims to provide a method for determining the number of gas production wells of a gas storage reservoir by considering the capacity change of the gas wells, which overcomes the problems in the prior art and accurately calculates the number of gas production wells required by the construction of the gas storage reservoir.
The technical scheme provided by the invention is as follows:
a method for determining the number of gas production wells in a gas storage reservoir by considering the variation of the gas well productivity comprises the following steps:
step 1) selecting two production data points according to productivity well testing information of a gas storage building area, substituting the two production data points into a gas well productivity equation, and solving gas well productivity equation coefficients a and b;
step 2) determining the bottom flow pressure of the gas well under different daily gas production quantities according to a shaft pipe flow equation and the pressure of a gas production wellhead;
step 3) drawing different average formation pressures P according to the gas well productivity equation under the same coordinate systemeUnder the condition, the daily gas production q and the bottom hole flowing pressure P of the gas production wellwfAnd (5) drawing a relation curve, namely drawing the daily gas production q and the bottom hole flow pressure P of the gas recovery well according to a shaft pipe flow equationwfA relation curve is formed, a gas well inflow and outflow curve intersection graph is formed, and the daily gas production rate of the gas well corresponding to the intersection point is PeThe reasonable daily gas production rate of the gas production well under the condition;
selecting average formation pressure of more than 3 junction points and reasonable daily gas production data of a gas production well, and fitting and regressing average formation pressure PeReasonable daily gas production rate q of gas production wellCombination of Chinese herbsA data function relation;
step 4) fitting average formation pressure P of gas storage construction areaeAnd cumulative gas production QTired ofRegression is carried out on the data to obtain a functional relation;
step 5) giving total days E for gas production of the gas storage and peak-shaving gas quantity q of the gas storage every dayPeak regulation(i) Calculating the accumulated gas production Q from the 1 st day to the i th day of gas production of the gas storageTired of(i) Wherein 0 is<i≤E;
Step 6) obtaining a function relation formula according to regression in the step 4) and the accumulated gas production Q obtained in the step 5)Tired of(i) Determining the average formation pressure P of the reservoir at day ie(i);
Step 7) determining the average formation pressure P according to the functional relationship obtained in step 3) and step 6)e(i),Determining the reasonable gas production q on the ith day of a gas well of a gas storage reservoirCombination of Chinese herbs(i);
Step 8) according to the peak shaving air quantity q of the gas storage given in the step 5) every dayPeak regulation(i) And step 7), obtaining the reasonable gas production q of the gas well on the ith dayCombination of Chinese herbs(i) Obtaining the number N of gas production wells required by the day i in the gas production stage of the gas storagei;
Step 9) selecting the maximum value of the number of gas production wells required by the gas production stage of the gas storage every day as the number J of the gas production wells required by the construction of the gas storage, wherein J is max (N)1,N2…,NE)。
The monthly decline rate of the production at the two production data points in the step 1) is less than 5 percent, and the monthly decline rate of the bottom flowing pressure is less than 3 percent.
The capacity equation isWherein, PeAverage formation pressure, MPa, for production data points; pwfBottom hole flowing pressure of production data points, MPa; q is the daily gas production rate of the gas recovery well at the production data point, 104m3/d。
The wellbore tubular flow equation is as follows:
wherein, PwfIs bottom hole flowing pressure, MPa; p istfThe wellhead pressure is MPa; f is the coefficient of friction; q is the daily gas production of the gas recovery well, m3/d;The average temperature of the gas in the column, K;the average deviation coefficient of the gas in the shaft is dimensionless; d is the inner diameter of the oil pipe, mm and s is an equation index.
Average formation pressure P in step 4)eAnd cumulative gas production QTired ofFunction ofIs Pe=z×(c×QTired of+ d), where z is the gas compression factor and c, d are the equation coefficients.
The function relation obtained in the step 6) is Pe(i)=z×(c×QTired of(i) + d), where z is the gas compression factor and c, d are the equation coefficients.
The invention has the beneficial effects that:
compared with the prior art, the method determines the number of the gas production wells of the gas storage by considering the gas production capacity change of the gas wells, is more suitable for field practice, is more accurate in calculation, and avoids investment waste. The invention is applied in the construction process of a certain gas storage, the number of the constructed wells is reduced by 1 compared with the original scheme, and the investment is saved by about 1500 ten thousand yuan.
The following will be described in further detail with reference to the accompanying drawings.
Drawings
FIG. 1 is a graph comparing a gas production capacity curve of a gas well of a gas reservoir with a planned daily gas production curve of the gas reservoir;
FIG. 2 is a cross-sectional view of a gas well influx and efflux curves at different average formation pressures;
FIG. 3 is a graph of the relationship between the reasonable daily gas production rate of the gas production well and the average formation pressure;
FIG. 4 is a graph of the average formation pressure versus the cumulative gas production from a gas reservoir;
FIG. 5 is a peak-shaving gas volume curve for each day of the gas storage.
Detailed Description
Example 1:
the embodiment provides a method for determining the number of gas producing wells of a gas storage reservoir by considering the capacity change of the gas wells, which comprises the following steps:
step 1) selecting two production data points according to productivity well testing information of a gas storage building area, substituting the two production data points into a gas well productivity equation, and solving gas well productivity equation coefficients a and b;
step 2) determining the bottom flow pressure of the gas well under different daily gas production quantities according to a shaft pipe flow equation and the pressure of a gas production wellhead;
step 3) drawing different average formation pressures P according to the gas well productivity equation under the same coordinate systemeUnder the condition, the daily gas production rate q and the bottom hole flow pressure P of the gas production wellwfAnd (5) drawing a relation curve, namely drawing the daily gas production q and the bottom hole flow pressure P of the gas recovery well according to a shaft pipe flow equationwfA relation curve is formed, a gas well inflow and outflow curve intersection graph is formed, and the daily gas production rate of the gas well corresponding to the intersection point is PeReasonable daily gas production of the gas recovery well under the condition;
selecting average formation pressure of more than 3 junction points and reasonable daily gas production data of the gas recovery well, fitting and returning to the average formation pressure PeThe daily gas production rate q is reasonable for the gas production wellCombination of Chinese herbsA data function relation;
step 4) fitting average formation pressure P of gas storage construction areaeAnd cumulative gas production QTired ofRegression is carried out on the data to obtain a functional relation;
step 5) giving total days E for gas production of the gas storage and peak-shaving gas quantity q of the gas storage every dayPeak regulation(i) Calculating the accumulated gas production Q from the 1 st day to the i th day of gas production of the gas storageTired of(i) Wherein 0 is<i≤E;
Step 6) obtaining a function relation formula according to regression in the step 4) and the accumulative gas production Q obtained in the step 5)Tired of(i) Determining the average formation pressure P of the reservoir at day ie(i);
Step 7) determining the average formation pressure P according to the functional relationship obtained in step 3) and step 6)e(i) Determining the reasonable gas production q on the ith day of the gas well of the gas storage reservoirCombination of Chinese herbs(i);
Step 8) according to the gas storage range given in step 5) each timePeak shaving amount of the day qPeak regulation(i) And step 7), obtaining the reasonable gas production q of the gas well on the ith dayClosing box(i) Obtaining the number N of gas production wells required by the day i in the gas production stage of the gas storagei;
Step 9) selecting the maximum value of the number of gas production wells required by the gas production stage of the gas storage every day as the number J of the gas production wells required by the construction of the gas storage, wherein J is max (N)1,N2…,NE)。
The method determines the number of the gas production wells of the gas storage by considering the gas production capacity change of the gas wells, is more suitable for the field reality, is more accurate in calculation, and avoids investment waste.
Example 2:
on the basis of embodiment 1, the present embodiment provides a method for determining the number of gas producing wells in a gas storage reservoir in consideration of the variation of the gas well productivity, which includes the following steps:
first production data Point (P)e1、Pwf1、q1);
Second production data point: (P)e2、Pwf2、q2);
wherein, Pe1Average formation pressure, MPa, for production data point 1; p iswf1Bottom hole flow pressure, MPa, for production data point 1; q. q.s1Gas production well daily gas production to produce data point 1, 104m3/d;Pe2Average formation pressure, MPa, for production data point 2; pwf2Bottom hole flow pressure, MPa, for production data point 2; q. q.s2Gas production well daily gas production to produce data points 2, 104m3D; a. b is the productivity equation coefficient;
and 2, analyzing data and oil pipe parameters by using the gas components, establishing a shaft pipe flow equation, determining the pressure of a gas production wellhead by combining the pressure of a pipeline system, and solving the bottom flow pressure of the gas well at different daily gas production rates. Wellbore tubular flow equation:
in the formula: pwfIs the bottom hole flowing pressure, MPa; ptfThe wellhead pressure is MPa; f is the coefficient of friction; q is the daily gas production of the gas recovery well, m3/d;The average temperature of the gas in the column, K;the average deviation coefficient of the gas in the shaft is dimensionless; d is the inner diameter of the oil pipe, nm, s is the equation index, rgThe relative density of natural gas, H is the depth from the well head to the middle part of the gas layer;
In the formula, PeIs the average formation pressure; z is a gas compression factor; qTired ofAccumulating gas production for the gas storage construction area; c. d is an equation coefficient;
Pe(i)=z×(c×QTired of(i)+d);
Step 7, determining the reasonable gas production q of the gas well of the gas storage on the ith day according to the function relation obtained in the step 3Combination of Chinese herbs(i);
qCombination of Chinese herbs(i)=f(Pe(i));
Step 8, calculating the number N of gas production wells required by the day i in the gas production stage of the gas storageiThe concrete calculation formula is as follows:
step 9, selecting the maximum value of the number of gas production wells required every day in the gas production stage of the gas storage as the number J of the gas production wells required for building the gas storage; j ═ max (N)1,N2…,NE)。
Example 3:
the present example further describes the present invention through the determination of the number of gas production wells in a gas storage. The determination steps are as follows:
qpeak regulation(i)=-0.11×i2+14.10i+136.01
Calculating the accumulated gas production Q of the gas storage on the ith dayTired of(i)
Step 7, determining the reasonable gas production q of the gas well of the gas storage on the ith day according to the function relation obtained in the step 3Combination of Chinese herbs(i);qCombination of Chinese herbs(i)=3.909Pe(i)-11.7=0.235i3-44.64i2-861.2i+101.7;
Step 8, calculating the number N of gas production wells required by the day i in the gas production stage of the gas storageiThe concrete calculation formula is as follows:
the calculation result of the number of the gas production wells required on the ith day is shown in a table 1;
and 9, according to the number of the gas production wells required every day in the gas production stage of the gas storage in the table 1, when the peak regulation is carried out on the 72 th day, the gas production number of the gas storage is the largest, the gas production number is 7.2, the number of the gas production wells required for building the gas storage is finally calculated to be 8 by considering that the number of the actual operation wells cannot be decimal.
TABLE 1 gas production phase of gas storage reservoir gas production phase gas production well number calculation result table
The above examples are merely illustrative of the present invention and should not be construed as limiting the scope of the invention, which is intended to be covered by the claims and any design similar or equivalent to the scope of the invention. Components and structures not described in detail in the embodiments are those well-known in the art and commonly used structures or commonly used means, which are not all specifically described herein.
Claims (9)
1. A method for determining the number of gas production wells in a gas storage reservoir by considering the change of the productivity of the gas wells is characterized by comprising the following steps of:
step 1) selecting two production data points according to productivity well testing information of a gas storage building area, substituting the two production data points into a gas well productivity equation, and solving gas well productivity equation coefficients a and b;
step 2) determining the bottom flow pressure of the gas well under different daily gas production quantities according to a shaft pipe flow equation and the pressure of a gas production wellhead;
step 3) drawing different average formation pressures P according to the gas well productivity equation under the same coordinate systemeUnder the condition, the daily gas production rate q and the bottom hole flow pressure P of the gas production wellwfAnd (5) drawing a relation curve, namely drawing the daily gas production q and the bottom hole flow pressure P of the gas recovery well according to a shaft pipe flow equationwfA relation curve, forming a gas well inflow and outflow curve intersection graph, wherein the daily gas production of the gas well corresponding to the intersection point is PeThe reasonable daily gas production rate of the gas production well under the condition;
selecting average formation pressure of more than 3 junction points and reasonable daily gas production data of a gas production well, and fitting and regressing average formation pressure PeReasonable daily gas production rate q of gas production wellCombination of Chinese herbsA data function relation;
step 4) fitting average formation pressure P of gas storage construction areaeAnd cumulative gas production QTired ofRegression is carried out on the data to obtain a functional relation;
step 5) giving total days E for gas production of the gas storage and peak-shaving gas quantity q of the gas storage every dayPeak regulation(i) Calculating the accumulated gas production Q from the 1 st day to the i th day of gas production of the gas storageTired of(i) Wherein 0 is<i≤E;
Step 6) obtaining a function relation formula according to regression in the step 4) and the accumulative gas production Q obtained in the step 5)Tired of(i) Determining the average formation pressure P of the reservoir at day ie(i);
Step 7) determining the average formation pressure P according to the functional relation obtained in the step 3) and the average formation pressure P determined in the step 6)e(i) Determining the reasonable gas production rate of gas well on day i of gas storageqCombination of Chinese herbs(i);
Step 8) according to the accumulative gas production Q of the step 5)Tired of(i) And step 7), obtaining the reasonable gas production q of the gas well on the ith dayCombination of Chinese herbs(i) Obtaining the number N of gas production wells required by the day i in the gas production stage of the gas storagei;
Step 9) selecting the maximum value of the number of gas production wells required by the gas production stage of the gas storage every day as the number J of the gas production wells required by the construction of the gas storage, wherein J is max (N)1,N2…,NE)。
2. The method for determining the number of gas producing wells in a gas reservoir in view of the variation in gas well productivity as set forth in claim 1, wherein: the monthly decline rate of the production at the two production data points in the step 1) is less than 5 percent, and the monthly decline rate of the bottom flowing pressure is less than 3 percent.
3. The method for determining the number of gas producing wells in a gas reservoir in view of the variation in gas well productivity as set forth in claim 1, wherein: the capacity equation isWherein, PeAverage formation pressure, MPa, for the production data point; pwfBottom hole flowing pressure of production data points, MPa; q is the daily gas production rate of the gas production well at the production data point, 104m3/d。
4. The method of determining the number of gas producing wells in a gas reservoir in view of the change in gas well productivity of claim 1, wherein the wellbore tubular flow equation is as follows:
wherein, PwfIs bottom hole flowing pressure, MPa; ptfThe wellhead pressure is MPa; f is the coefficient of friction; q is the daily gas production rate of the gas production well, m3/d;The average temperature of gas in the tubular column, K;the average deviation coefficient of the gas in the shaft is dimensionless; d is the inner diameter of the oil pipe, mm and s is an equation index.
5. The method for determining the number of gas producing wells in a gas reservoir in view of the variation in gas well productivity as set forth in claim 1, wherein: average formation pressure P in step 4)eAnd cumulative gas production QTired ofHas a functional relation of Pe=z×(c×QTired of+ d), where z is the gas compression factor and c, d are the equation coefficients.
7. The method for determining the number of gas producing wells in a gas reservoir in view of the variation in gas well productivity as set forth in claim 1, wherein: average formation pressure P in step 6)e(i)=z×(c×QTired of(i) + d), where z is the gas compression factor and c, d are the equation coefficients.
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