CN109214705A - It is a kind of consider gas well deliverability variation gas storage gas recovery well number determine method - Google Patents

It is a kind of consider gas well deliverability variation gas storage gas recovery well number determine method Download PDF

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CN109214705A
CN109214705A CN201811132562.6A CN201811132562A CN109214705A CN 109214705 A CN109214705 A CN 109214705A CN 201811132562 A CN201811132562 A CN 201811132562A CN 109214705 A CN109214705 A CN 109214705A
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gas
well
storage
recovery well
deliverability
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CN109214705B (en
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刘鹏程
安红燕
兰义飞
徐文
赵忠军
于占海
叶珍
肖峰
李鹏
冯敏
张波
席怡
田清华
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China Petroleum and Natural Gas Co Ltd
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    • G06COMPUTING; CALCULATING OR COUNTING
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    • G06Q10/063Operations research, analysis or management
    • G06Q10/0631Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06315Needs-based resource requirements planning or analysis
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00Systems or methods specially adapted for specific business sectors, e.g. utilities or tourism
    • G06Q50/02Agriculture; Fishing; Mining

Abstract

The present invention provides a kind of gas storage gas recovery well numbers of consideration gas well deliverability variation to determine method, it is fitted to obtain recurrence mean reservoir pressure by the joint of Gas Well Productivity and wellbore tubular flow equation and gas recovery well rationally produces tolerance data function relational expression daily, and mean reservoir pressure and cumulative gas fit functional relation, determine i-th day mean reservoir pressure of gas storage, then gas storage gas well i-th day reasonable gas production is obtained, pass through gas storage i-th day peak regulation tolerance and gas well i-th day reasonable gas production again, obtain gas recovery well number N required for i-th day gas production stage of gas storagei, gas recovery well number maximum value required for choosing the gas storage gas production stage daily is as gas recovery well number J needed for construction of storage.Compared with prior art, the present invention determines gas storage gas recovery well number by the variation of consideration gas well gas deliverability, and more fitting scene is practical, and calculating is more acurrate, avoids investment waste.

Description

It is a kind of consider gas well deliverability variation gas storage gas recovery well number determine method
Technical field
The invention belongs to natural gas underground storages, gas reservoir engineering technical field, and in particular to a kind of consideration gas well deliverability change The gas storage gas recovery well number of change determines method.
Background technique
Construction of storage is to adjust the national natural gas equilibrium of supply and demand, guarantees the important means of country's gas supply safety.Gas recovery well Number calculating is the important component that construction of storage parameter calculates, and the calculating of gas recovery well number must assure that the daily gas production energy of gas recovery well The sum of power meets the requirement of gas storage planning daily output tolerance, if calculating, well number is less than normal, and gas storage peak regulation is unable to reach planning daily output Tolerance;Conversely, calculating well number is bigger than normal, investment waste will cause.
Underground natural gas storage tank in actual moving process, gas well gas production ability be with gas storage planning daily gas amount variation and Variation, and gas well gas production ability is different from gas storage planning daily gas quantitative change law, such as Fig. 1 is certain gas storage gas well Gas production power curve and gas storage planning daily output tolerance curve comparison figure, wherein gas well gas production ability be with the time increase without It is disconnected to reduce, and gas storage planning daily output tolerance is after first gradually rising, then is gradually reduced.Therefore, gas storage needs daily Gas recovery well number is all different, and maximum well needed for the gas production stage counts the existing time and also do not know.
Currently, domestic and foreign scholars when calculating gas storage gas recovery well number, do not account for gas well gas deliverability and planning mostly The relationship for producing tolerance daily, when not calculating gas storage operation yet daily needed for well number, such as document the 10th phase of volume 33 in 2013 The article " underground natural gas storage tank peak regulation yield and gas recovery well number designing technique " of " gas industry ", directly given gas recovery well production capacity model Enclose 75~35 × 104m3, the gas recovery well number that construction of storage needs then is calculated according to the maximum value of gas production ability and minimum value. This method does not account for the variation of daily gas recovery well number, can not accurately calculate gas recovery well number required for construction of storage.
Summary of the invention
The purpose of the present invention is to provide a kind of gas storage gas recovery well numbers of consideration gas well deliverability variation to determine method, overcomes The above-mentioned problems in the prior art, the accurate gas recovery well number for calculating construction of storage and needing.
Technical solution provided by the invention is as follows:
It is a kind of consider gas well deliverability variation gas storage gas recovery well number determine method, comprising the following steps:
Step 1) chooses two creation data points according to construction of storage region deliverability testing data, substitutes into gas well deliverability Equation solves Gas Well Productivity coefficient a, b;
Step 2) determines the gas well shaft bottom stream under different daily output tolerance according to wellbore tubular flow equation and gas production wellhead pressure Pressure;
Step 3) draws different mean reservoir pressure P under the same coordinate system, according to Gas Well ProductivityeUnder the conditions of, it adopts Gas well produces tolerance q and flowing bottomhole pressure (FBHP) P dailywfRelation curve, while gas recovery well daily output tolerance q and well are drawn according to wellbore tubular flow equation P is pressed in underflowwfRelation curve forms gas well inflow and outflow curve and crosses figure, and the corresponding gas well daily output tolerance of point of intersection is in PeItem The reasonable daily output tolerance of gas recovery well under part;
It chooses 3 or more joint mean reservoir pressures and gas recovery well rationally produces tolerance data daily, fitting returns fifty-fifty Stressor layer PeRationally produce tolerance q daily with gas recovery wellIt closesData function relational expression;
Step 4) is fitted construction of storage region mean reservoir pressure PeWith cumulative gas QIt is tiredData, recurrence obtain function Relational expression;
Step 5) gives the total number of days E of gas storage gas production and the daily peak regulation tolerance q of gas storagePeak regulation(i), gas storage is calculated to adopt Gas the 1st day to i-th day accumulative gas production QIt is tired(i), wherein 0 < i≤E;
The accumulative gas production Q that step 6) returns obtained functional relation according to step 4) and step 5) obtainsIt is tired(i), really Determine gas storage i-th day mean reservoir pressure Pe(i);
The mean reservoir pressure P that the functional relation and step 6) that step 7) is obtained according to step 3) determinee(i), storage is determined Air reservoir gas well i-th day reasonable gas production qIt closes(i);
Step 8) the peak regulation tolerance q daily according to the gas storage that step 5) givesPeak regulation(i) gas well i-th obtained with step 7) It reasonable gas production qIt closes(i), gas recovery well number N required for i-th day gas production stage of gas storage is obtainedi
Gas recovery well number maximum value required for step 9) chooses the gas storage gas production stage daily is as needed for construction of storage Gas recovery well number J, J=max (N1, N2..., NE)。
At two creation data points described in step 1) the yield moon rate of regression less than 5%, speed of successively decreasing the flowing bottomhole pressure (FBHP) moon Rate is less than 3%.
The deliverability equation isWherein, PeFor the mean reservoir pressure for producing data point, MPa; PwfFor the flowing bottomhole pressure (FBHP) for producing data point, MPa;Q be produce data point gas recovery well daily output tolerance, 104m3/d。
The wellbore tubular flow equation is as follows:
Wherein, PwfFor flowing bottomhole pressure (FBHP), MPa;PtfFor well head pressure, MPa;F is to rub to help coefficient;Q is gas recovery well daily gas Amount, m3/d;For gas mean temperature, K in tubing string;For wellbore gas coefficient of mean deviation, dimensionless;D is pipe aperture, Mm, s are equation index.
Mean reservoir pressure P in step 4)eWith cumulative gas QIt is tiredFunctional relation be Pe=z × (c × QIt is tired+ d), formula In, z is Gas Compression Factor, and c, d are equation coefficient.
In step 5)Wherein 0 < i≤E.
The functional relation that step 6) obtains is Pe(i)=z × (c × QIt is tired(i)+d), in formula, z is Gas Compression Factor, c, d For equation coefficient.
In step 8)
rgFor natural gas relative density, H is depth in the middle part of well head to gas-bearing formation.
The beneficial effects of the present invention are:
Compared with prior art, the present invention is by considering that gas well gas deliverability changes to determine gas storage gas recovery well number, more Fitting scene is practical, and calculating is more acurrate, avoids investment waste.The present invention is applied in the process of construction of certain gas storage, The more former scheme of shaft building number reduces 1 mouthful, about 15,000,000 yuan of investment reduction.
It is described in further details below in conjunction with attached drawing.
Detailed description of the invention
Fig. 1 is gas storage gas well gas production power curve and gas storage planning daily output tolerance curve comparison figure;
Fig. 2 is that gas well inflow and outflow curve crosses figure under different mean reservoir pressures;
Fig. 3 is that gas recovery well rationally produces tolerance and mean reservoir pressure relation curve daily;
Fig. 4 mean reservoir pressure and gas storage cumulative gas relation curve;
Fig. 5 is the daily peak regulation tolerance curve of gas storage.
Specific embodiment
Embodiment 1:
The gas storage gas recovery well number for present embodiments providing a kind of consideration gas well deliverability variation determines method, including following step It is rapid:
Step 1) chooses two creation data points according to construction of storage region deliverability testing data, substitutes into gas well deliverability Equation solves Gas Well Productivity coefficient a, b;
Step 2) determines the gas well shaft bottom stream under different daily output tolerance according to wellbore tubular flow equation and gas production wellhead pressure Pressure;
Step 3) draws different mean reservoir pressure P under the same coordinate system, according to Gas Well ProductivityeUnder the conditions of, it adopts Gas well produces tolerance q and flowing bottomhole pressure (FBHP) P dailywfRelation curve, while gas recovery well daily output tolerance q and well are drawn according to wellbore tubular flow equation P is pressed in underflowwfRelation curve forms gas well inflow and outflow curve and crosses figure, and the corresponding gas well daily output tolerance of point of intersection is in PeItem The reasonable daily output tolerance of gas recovery well under part;
It chooses 3 or more joint mean reservoir pressures and gas recovery well rationally produces tolerance data daily, fitting returns fifty-fifty Stressor layer PeRationally produce tolerance q daily with gas recovery wellIt closesData function relational expression;
Step 4) is fitted construction of storage region mean reservoir pressure PeWith cumulative gas QIt is tiredData, recurrence obtain function Relational expression;
Step 5) gives the total number of days E of gas storage gas production and the daily peak regulation tolerance q of gas storagePeak regulation(i), gas storage is calculated to adopt Gas the 1st day to i-th day accumulative gas production QIt is tired(i), wherein 0 < i≤E;
The accumulative gas production Q that step 6) returns obtained functional relation according to step 4) and step 5) obtainsIt is tired(i), really Determine gas storage i-th day mean reservoir pressure Pe(i);
The mean reservoir pressure P that the functional relation and step 6) that step 7) is obtained according to step 3) determinee(i), storage is determined Air reservoir gas well i-th day reasonable gas production qIt closes(i);
Step 8) the peak regulation tolerance q daily according to the gas storage that step 5) givesPeak regulation(i) gas well i-th obtained with step 7) It reasonable gas production qIt closes(i), gas recovery well number N required for i-th day gas production stage of gas storage is obtainedi
Gas recovery well number maximum value required for step 9) chooses the gas storage gas production stage daily is as needed for construction of storage Gas recovery well number J, J=max (N1, N2..., NE)。
The present invention determines gas storage gas recovery well number by considering the variation of gas well gas deliverability, and more fitting scene is practical, meter It is more acurrate, avoid investment waste.
Embodiment 2:
On the basis of embodiment 1, a kind of gas storage gas recovery well number of consideration gas well deliverability variation is present embodiments provided Determine method, comprising the following steps:
Step 1, according to construction of storage region gas well liquid loading dynamic data and deliverability testing data, choose two production numbers Strong point substitutes into deliverability equation, solves Gas Well Productivity coefficient a, b after simultaneous equations;It is required that the yield at creation data point Month rate of regression is less than 5%, and the flowing bottomhole pressure (FBHP) moon, rate of regression was less than 3%;
First creation data point: (Pe1、Pwf1、q1);
Second creation data point: (Pe2、Pwf2、q2);
Deliverability equation:
Wherein, Pe1For the mean reservoir pressure for producing data point 1, MPa;Pwf1For produce data point 1 flowing bottomhole pressure (FBHP), MPa;q1For produce data point 1 gas recovery well produce daily tolerance, 104m3/d;Pe2For the mean reservoir pressure for producing data point 2, MPa; Pwf2For the flowing bottomhole pressure (FBHP) for producing data point 2, MPa;q2For produce data point 2 gas recovery well produce daily tolerance, 104m3/d;A, b is to produce It can equation coefficient;
Step 2, using gas composition analysis data and oil pipe parameter, wellbore tubular flow equation is established, in conjunction with pipeline system pressure Power determines gas production wellhead pressure, and seeks gas well flowing bottomhole pressure (FBHP) under different daily output tolerance.Wellbore tubular flow equation:
In formula: PwfFor flowing bottomhole pressure (FBHP), MPa;PtfFor well head pressure, MPa;F is to rub to help coefficient;Q is gas recovery well daily gas Amount, m3/d;For gas mean temperature, K in tubing string;For wellbore gas coefficient of mean deviation, dimensionless;D is pipe aperture, Nm, s are equation index, rgFor natural gas relative density, H is depth in the middle part of well head to gas-bearing formation;
Step 3, under the same coordinate system, according to deliverability equation draw Different Strata pressure PeUnder the conditions of, gas recovery well daily output Tolerance q and flowing bottomhole pressure (FBHP) PwfRelation curve (flow into curve), at the same according to wellbore tubular flow equation draw gas recovery well daily output tolerance q and Flowing bottomhole pressure (FBHP) PwfRelation curve (elution curve) forms gas well inflow and outflow curve and crosses figure, the corresponding gas well daily output of point of intersection Tolerance is in PeUnder the conditions of gas recovery well reasonable daily output tolerance;It chooses 3 or more joint mean reservoir pressures and gas recovery well closes Reason daily output tolerance data, fitting return strata pressure PeRationally produce tolerance q daily with gas recovery wellIt closesData function relational expression;qIt closes=f (Pe), in formula, qIt closesTolerance is rationally produced daily for gas recovery well;PeFor mean reservoir pressure;
Step 4, fitting construction of storage region mean reservoir pressure PeWith cumulative gas QIt is tiredData, recurrence obtain function Relational expression;Pe=z × (c × QIt is tired+d);
In formula, PeFor mean reservoir pressure;Z is Gas Compression Factor;QIt is tiredFor construction of storage region cumulative gas;c, D is equation coefficient;
Step 5, comprehensive gas storage geological conditions, storage capacity parameter, Production development and peak regulation demand, it is total to give gas storage gas production Number of days E and the daily peak regulation tolerance of gas storage, wherein the 1st day peak regulation tolerance is qPeak regulation(1), i-th day peak regulation tolerance is qPeak regulation(i), Calculate gas storage gas production the 1st day to i-th day accumulative gas production QIt is tired(i);Wherein, i-th day peak regulation tolerance is gas storage i-th day Daily output tolerance;
In formula, 0 < i≤E;
Step 6, the functional relation obtained according to step 4 determine gas storage i-th day mean reservoir pressure Pe(i);
Pe(i)=z × (c × QIt is tired(i)+d);
Step 7, the functional relation obtained according to step 3 determine gas storage gas well i-th day reasonable gas production qIt closes(i);
qIt closes(i)=f (Pe(i));
Step 8 calculates gas recovery well number N required for i-th day gas storage gas production stagei, specific formula for calculation:
Step 9, choose the gas storage gas production stage daily required for gas recovery well number maximum value as needed for construction of storage Gas recovery well number J;J=max (N1, N2..., NE)。
Embodiment 3:
The present embodiment is described further the present invention by the determination of certain gas storage gas recovery well number.Determine that steps are as follows:
Step 1 obtains Gas Well Productivity using certain gas storage well test data:
Step 2 chooses tubing size 31/2In, well head pressure 3MPa determine Wellbore Flow equation.
Step 3 crosses figure (see Fig. 2) according to Gas Well Productivity and flow equation drafting inflow and outflow curve, chooses 5 Joint A (100,19.2,29), B (85,16.5,25), C (65,12.8,20), D (45,9.4,15), E (25,6.1,10), Middle A point, which represents, means that, when mean reservoir pressure is 29MPa, gas well flowing bottomhole pressure (FBHP) is 19.2MPa, and gas well rationally produces tolerance daily It is 100 × 104m3/ d, other joint meanings are similar.It is reasonable according to the mean reservoir pressure of joint A, B, C, D, E and gas well Daily gas magnitude, fitting return mean reservoir pressure PeRationally produce tolerance q daily with gas recovery wellIt closesData function relational expression: qIt closes= 3.909Pe-11.7;Fitted figure is shown in Fig. 3.
Step 4, fitting mean reservoir pressure PeWith region cumulative gas QIt is tiredData, recurrence obtain functional relation: Pe=- 1.62QIt is tired+29;Conjunction figure is shown in Fig. 4.
Step 5, comprehensive gas storage geological conditions, storage capacity parameter, Production development and peak regulation demand, it is total to give gas storage gas production Number of days is 120 days, i-th day gas production stage peak regulation tolerance qPeak regulation(i), the daily peak regulation curve of gas storage is shown in Fig. 5;
qPeak regulation(i)=- 0.11 × i2+14.10i+136.01
Calculate gas storage i-th day accumulative gas production QIt is tired(i)
Step 6, the functional relation obtained according to step 4 calculate gas storage i-th day mean reservoir pressure Pe(i);Pe (i)=- 1.62QIt is tired(i)+29=0.06i3-11.42i2-220.3i+29;
Step 7, the functional relation obtained according to step 3 determine gas storage gas well i-th day reasonable gas production qIt closes(i); qIt closes(i)=3.909Pe(i) -11.7=0.235i3-44.64i2-861.2i+101.7;
Step 8 calculates gas recovery well number N required for i-th day gas storage gas production stagei, specific formula for calculation:
Gas recovery well number calculated result required for i-th day is shown in Table 1;
Step 9, according to the gas storage gas production stage in table 1 daily required for gas recovery well number show when peak regulation the 72nd day, storage Air reservoir gas production number is maximum, and gas production number is 7.2 mouthfuls, and considering that practical behaviour does well number cannot be decimal, gas recovery well needed for construction of storage Number is finally calculated as 8 mouthfuls.
The 1 gas storage gas production stage of table needs gas recovery well number calculation result table daily
The foregoing examples are only illustrative of the present invention, does not constitute the limitation to protection scope of the present invention, all It is within being all belonged to the scope of protection of the present invention with the same or similar design of the present invention.The component that embodiment does not describe in detail With the well-known components and common structure or conventional means of the structure category industry, do not describe one by one here.

Claims (9)

1. a kind of gas storage gas recovery well number for considering gas well deliverability variation determines method, which comprises the following steps:
Step 1) chooses two creation data points according to construction of storage region deliverability testing data, substitutes into Gas Well Productivity, Solve Gas Well Productivity coefficient a, b;
Step 2) determines the gas well flowing bottomhole pressure (FBHP) under different daily output tolerance according to wellbore tubular flow equation and gas production wellhead pressure;
Step 3) draws different mean reservoir pressure P under the same coordinate system, according to Gas Well ProductivityeUnder the conditions of, gas recovery well day Gas production q and flowing bottomhole pressure (FBHP) PwfRelation curve, while gas recovery well daily output tolerance q and flowing bottomhole pressure (FBHP) are drawn according to wellbore tubular flow equation PwfRelation curve forms gas well inflow and outflow curve and crosses figure, and the corresponding gas well daily output tolerance of point of intersection is in PeUnder the conditions of adopt The reasonable daily output tolerance of gas well;
It chooses 3 or more joint mean reservoir pressures and gas recovery well rationally produces tolerance data daily, fitting is returned and is fifty-fifty laminated Power PeRationally produce tolerance q daily with gas recovery wellIt closesData function relational expression;
Step 4) is fitted construction of storage region mean reservoir pressure PeWith cumulative gas QIt is tiredData, recurrence obtain functional relation Formula;
Step 5) gives the total number of days E of gas storage gas production and the daily peak regulation tolerance q of gas storagePeak regulation(i), gas storage gas production the 1st is calculated It was to i-th day accumulative gas production QIt is tired(i), wherein 0 < i≤E;
The accumulative gas production Q that step 6) returns obtained functional relation according to step 4) and step 5) obtainsIt is tired(i), storage is determined Air reservoir i-th day mean reservoir pressure Pe(i);
The mean reservoir pressure P that the functional relation and step 6) that step 7) is obtained according to step 3) determinee(i), gas storage gas is determined Well i-th day reasonable gas production qIt closes(i);
Step 8) the peak regulation tolerance q daily according to the gas storage that step 5) givesPeak regulation(i) and step 7) obtain gas well i-th day Reasonable gas production qIt closes(i), gas recovery well number N required for i-th day gas production stage of gas storage is obtainedi
Gas recovery well number maximum value required for step 9) chooses the gas storage gas production stage daily is as gas production needed for construction of storage Well number J, J=max (N1, N2..., NE)。
2. a kind of gas storage gas recovery well number for considering gas well deliverability variation according to claim 1 determines method, feature Be: at two creation data points described in step 1) the yield moon rate of regression less than 5%, the flowing bottomhole pressure (FBHP) moon rate of regression it is small In 3%.
3. a kind of gas storage gas recovery well number for considering gas well deliverability variation according to claim 1 determines method, feature Be: the deliverability equation isWherein, PeFor the mean reservoir pressure for producing data point, MPa;Pwf For the flowing bottomhole pressure (FBHP) for producing data point, MPa;Q be produce data point gas recovery well daily output tolerance, 104m3/d。
4. a kind of gas storage gas recovery well number for considering gas well deliverability variation according to claim 1 determines method, feature It is, the wellbore tubular flow equation is as follows:
Wherein, PwfFor flowing bottomhole pressure (FBHP), MPa;PtfFor well head pressure, MPa;F is to rub to help coefficient;Q is that gas recovery well produces tolerance, m daily3/ d;For gas mean temperature, K in tubing string;For wellbore gas coefficient of mean deviation, dimensionless;D is pipe aperture, and mm, s are Equation index.
5. a kind of gas storage gas recovery well number for considering gas well deliverability variation according to claim 1 determines method, feature It is: the mean reservoir pressure P in step 4)eWith cumulative gas QIt is tiredFunctional relation be Pe=z × (c × QIt is tired+ d), in formula, z For Gas Compression Factor, c, d are equation coefficient.
6. a kind of gas storage gas recovery well number for considering gas well deliverability variation according to claim 1 determines method, feature It is: in step 5)Wherein 0 < i≤E.
7. a kind of gas storage gas recovery well number for considering gas well deliverability variation according to claim 1 determines method, feature Be: the functional relation that step 6) obtains is Pe(i)=z × (c × QIt is tired(i)+d), in formula, z is Gas Compression Factor, and c, d are Equation coefficient.
8. a kind of gas storage gas recovery well number for considering gas well deliverability variation according to claim 1 determines method, feature It is: in step 8)
9. a kind of gas storage gas recovery well number for considering gas well deliverability variation according to claim 4 determines method, feature It is:rgFor natural gas relative density, H is depth in the middle part of well head to gas-bearing formation.
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CN112053029A (en) * 2020-07-28 2020-12-08 中国石油天然气股份有限公司 Classification and classification method for gas production pipeline management of natural gas field
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CN110516850A (en) * 2019-08-02 2019-11-29 中国石油天然气股份有限公司 A kind of gas storage moving model optimization method under the mode based on history learning
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CN110617048A (en) * 2019-10-08 2019-12-27 中国石油天然气股份有限公司 Gas storage well spacing method
CN110617048B (en) * 2019-10-08 2021-11-02 中国石油天然气股份有限公司 Gas storage well spacing method
CN110992202A (en) * 2019-12-19 2020-04-10 中国石油大港油田勘探开发研究院 Method for determining number of gas production wells of underground gas storage
CN112053029A (en) * 2020-07-28 2020-12-08 中国石油天然气股份有限公司 Classification and classification method for gas production pipeline management of natural gas field
CN112053029B (en) * 2020-07-28 2024-03-08 中国石油天然气股份有限公司 Classification and classification method for natural gas field gas production pipeline management
CN115017736A (en) * 2022-07-06 2022-09-06 重庆科技学院 Method for predicting free gas movable reserves of shale gas well

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