CN106285568B - A kind of branch horizontal well recovery method based on Green's function - Google Patents
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- 238000000034 method Methods 0.000 title claims abstract description 37
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- 230000015572 biosynthetic process Effects 0.000 claims description 25
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Abstract
The branch horizontal well recovery method based on Green's function that the invention discloses a kind of, is specifically implemented according to the following steps：The theoretical value of the shale gas yield of branch horizontal well is calculated first, secondly it carries out the operation of branch horizontal well day actual production according to theoretical value and draws branch horizontal well day actual production and the curve graph of time, it is adjusted until curve graph trip point does not occur when trip point occurs in curve graph, when accumulative water yield and equal critical water yield, branch horizontal well is scrapped.A kind of branch horizontal well recovery method based on Green's function, it is adjusted after the generation of transition point, be conducive to shale gas and carry output water in horizontal wellbore in time, reduce the harm that air-water mixture returns shaft bottom, reduce aggregation of the output water in shaft bottom, it is efficient to reduce maintenance cost, save maintenance cost.
Description
Technical field
The invention belongs to shale gas exploitation technical field of operation, are related to a kind of branch horizontal well exploitation based on Green's function
Method.
Background technology
In shale gas exploitation, Multilateral Wells are drilled through on the basis of horizontal well can increase target zone length, increase draining face
Product improves oil and gas production, therefore, from after shale gas exploitation cost reduction in 2010, China's branch horizontal well drilling technology hair
Exhibition is rapid, and enters the scale application stage.Currently, branch horizontal well technology is the exploitation relatively effective hand of shale gas reservoir
Section.In the exploitation of shale gas well, in order to obtain maximum cumulative production, usually, a kind of method is control gas well horizontal well
The pressure in shaft bottom is constant, and another method is that the well head flow of control gas well is constant.
But in place of the existing usual Shortcomings of shale gas branch horizontal well recovery method：Keep bottom pressure constant
And over time, gas well yield continuously decreases, and the economic benefit of gas well exploitation also decreases；If being to maintain well head
Flow it is constant and over time, strata pressure difference leads to Horizontal Well bottom output water flooding, stratum water slug shale gas
Gas channel, reduce the exploitation service life of gas well.Both recovery methods all do not account for shale gas well in reservoir branches angle
Degree, the i.e. Green's function of shale gas well, this is one of the physical property of shale gas well.Green's function is along dispersal direction, in page
A kind of method of the rock gas well Multilateral Wells difference Branch Angle to shale gas Multilateral Wells volume analysis.Therefore there is an urgent need for one in the prior art
Kind considers shale gas Green's function to improve the branch horizontal well recovery method of shale gas recovery ratio.
Invention content
The branch horizontal well recovery method based on Green's function that the object of the present invention is to provide a kind of, solves existing shale
With the extension of mining time present in qi leel branch horizontal wells, the air-flow of Horizontal Well bottom stratum water slug shale gas is logical
Road, the problem of reducing the exploitation service life of gas well.
The technical solution adopted in the present invention is that a kind of branch horizontal well recovery method based on Green's function is specifically pressed
Implement according to following steps：
Step 1：Determine the rock core absolute permeability k of target reservoir0With the viscosity, mu of shale gasg；
Step 2：Establish the air water two phase fluid flow formula under the influence of Green's function：
Wherein,
In formula, krwIndicate water phase relative permeability；μwIndicate aqueous viscosity；Indicate the barometric gradient of reservoir；qwTable
Show the theoretical water yield per day of branch horizontal well；qgIndicate the daily output tolerance of branch horizontal well；krgIndicate shale gas relative permeability；
P indicates the pressure of reservoir any position；For dimensionless radius；For non dimensional time；For
Zero dimension horizontal well length；For zero dimension horizontal well branch length；rwIndicate horizontal well radius；R indicates that reservoir is appointed
Distance of the meaning point to Horizontal Well bottom；φ indicates the porosity of rock core；C indicates the compressed coefficient of rock core；rwnIndicate Multilateral Wells half
Diameter；T indicates mining time；L indicates Horizontal Well segment length；LnIndicate Multilateral Wells well section length；l1Indicate reservoir along horizontal well
Axial direction random length；Gl(rD,tD) indicate Green's function；θ indicates Multilateral Wells and horizontal well included angle；N is indicated n-th
Branch；
Step 3：Calculate the theoretical value q of branch horizontal well shale gas yield0；
Step 4：According to the q in step 30Carry out branch horizontal well day actual production qsOperation, even if qs=q0, simultaneously
The production time is recorded, and draws the curve graph A of branch horizontal well day actual production and time, and draws branch horizontal well day reality
The curve graph B of border water yield and time；
Step 5：When trip point occurs in the curve graph A of the step 4, branch horizontal well day actual production q is adjusteds, note
For q1；
Step 6：According to the q in step 51Carry out branch horizontal well day actual production qsOperation, even if qs=q1, simultaneously
The production time is recorded, and draws the curve graph A of branch horizontal well day actual production and time, and draws branch horizontal well day reality
The curve graph B of border water yield and time；
Step 7：When trip point occurs in the curve graph A of the step 6, branch horizontal well day actual production q is adjusteds, note
For q2；
Step 8：Step 6 and step 7 are repeated until branch horizontal well day actual production and the curve graph A of time are not jumped
Until height, branch horizontal well day actual production will be no longer adjusted at this time；
Step 9：Branch horizontal well day practical water yield and the curve graph B of time on day practical water yield is summed to obtain
Accumulative water yield QWater is total, when accumulative water yield and equal critical water yield, branch horizontal well is scrapped.
The features of the present invention also characterized in that：
The theoretical value q of branch horizontal well shale gas yield is calculated in step 30Specific method be：
Step 3.1：According to steady percolation theory, integral is carried out to formula (1) using pseudofunction method and obtains shale gas yield
Formula is：
In formula, l0Indicate gas-bearing formation horizontal length；ZscIndicate Gas Compression Factor under standard state；TscIt indicates under standard state
Temperature；ρgscIndicate gas density under standard state；pscIndicate pressure under standard state；T indicates formation temperature；Z indicates gas pressure
The contracting factor；peIndicate original formation pressure；pwnIndicate that horizontal well branch bottom pressure, R (t) indicate under the influence of horizontal well branch
Moving boundary；rwnIndicate Multilateral Wells wellbore radius；M indicates branch's number of branch horizontal well.
Branch horizontal well day actual production q is adjusted in step 5sSpecific method be：
Step 5.1：Branch number m and each contiguous branch well perforation position are determined according to the drilling well of branch horizontal well and perforation data
The spacing l set, and it is as follows to establish the Tuning function based on Green's function：
Wherein,
In formula, β indicates shale formation pressure propagation coefficient；V indicates that spread speed drops in strata pressure；F (t) indicates adjustment letter
Number；T indicates mining time；INT () indicates bracket function；P indicates the pressure of reservoir any position；
Step 5.2：According to the Tuning function of step 5.1 to branch horizontal well day actual production qsIt is adjusted,
In formula, q1Indicate that gas well mouth adjusts the daily output；l0Indicate gas-bearing formation horizontal length；ZscIndicate gas under standard state
Compressibility factor；TscIndicate temperature under standard state；ρgscIndicate gas density under standard state；pscIndicate that standard state pushes
Power；T indicates formation temperature；Z indicates Gas Compression Factor；peIndicate original formation pressure；pwnIndicate horizontal well Multilateral Wells base pressure
Power；R (t) indicates the moving boundary under the influence of horizontal well branch；rwnIndicate Multilateral Wells wellbore radius.
Add up water yield Q in step 9Water is totalComputational methods be：
In formula, qProduce water dailyIndicate shale gas well day practical water yield；T indicates mining time.
Critical water yield is determined by the prospect pit and well test data of target reservoir formation in step 9.
Rock core absolute permeability k in step 10It is measured by automatic measuring instrument for permeability of rock core.
The viscosity, mu of shale gas in step 1gIt is obtained by curve-fitting method.
The beneficial effects of the invention are as follows：
1, a kind of branch horizontal well recovery method based on Green's function, according to the spy of branch horizontal well shale gas exploitation
Point establishes the air water two phase fluid flow formula for considering shale gas Green's function, can fully exploit the shale gas of reservoir to
Improve the recovery ratio of shale gas；
2, the Tuning function based on Green's function is established, gas well yield can be reasonably adjusted, avoid blindness
Adjustment, reduces the destruction to gas-bearing formation；
3, the formula according to the Tuning function classification adjustment gas well mouth flow based on Green's function is established, selection is passed through
The well head flow of rational classification adjustment shale gas, can reduce stratum producing pressure differential, to slow down water flooding water breakthrough, extend and divide
The production life of well of branch horizontal well；
4, according to the recovery method based on Green's function when occurring transition point on production curve figure, suitable adjustment is selected
Opportunity can delay the drop of pressure speed in the region that pressure drop funnel feeds through to, and extend stripping gas and time and amount of precipitation is precipitated, from
And increase cumulative production on the whole；It is adjusted after the generation of transition point, is conducive to shale gas and carries in horizontal wellbore in time
Output water reduces the harm that air-water mixture returns shaft bottom, aggregation of the output water in shaft bottom is reduced, to reduce maintenance expense
With, it is efficient, save maintenance cost.
Specific implementation mode
A kind of branch horizontal well recovery method based on Green's function of the present invention, specifically includes following steps：
Step 1：Determine the rock core absolute permeability k of target reservoir0With the viscosity, mu of shale gasg, wherein rock core Absolute permeation
Rate k0The viscosity, mu of shale gas is measured by automatic measuring instrument for permeability of rock coregIt is obtained by curve-fitting method；
Step 2：Establish the air water two phase fluid flow formula under the influence of Green's function：
Wherein,
In formula, krwIndicate water phase relative permeability；μwIndicate aqueous viscosity；Indicate the barometric gradient of reservoir；qwTable
Show the theoretical water yield per day of branch horizontal well；qgIndicate the daily output tolerance of branch horizontal well；krgIndicate shale gas relative permeability；
P indicates the pressure of reservoir any position；For dimensionless radius；For non dimensional time；For
Zero dimension horizontal well length；For zero dimension horizontal well branch length；rwIndicate horizontal well radius；R indicates that reservoir is appointed
Distance of the meaning point to Horizontal Well bottom；φ indicates the porosity of rock core；C indicates the compressed coefficient of rock core；rwnIndicate Multilateral Wells half
Diameter；T indicates mining time；L indicates Horizontal Well segment length；Ln indicates Multilateral Wells well section length；l1Indicate reservoir along level
Well axial direction random length；Gl(rD,tD) indicate Green's function；θ indicates Multilateral Wells and horizontal well included angle；N indicates n-th
A branch；
Step 3：Calculate the theoretical value q of branch horizontal well shale gas yield0, specific method is：
According to steady percolation theory, integral is carried out to formula (1) using pseudofunction method and show that shale gas production formula is：
In formula, l0Indicate gas-bearing formation horizontal length；ZscIndicate Gas Compression Factor under standard state；TscIt indicates under standard state
Temperature；ρgscIndicate gas density under standard state；pscIndicate pressure under standard state；T indicates formation temperature；Z indicates gas pressure
The contracting factor；peIndicate original formation pressure；pwnIndicate horizontal well branch bottom pressure；R (t) is indicated under the influence of horizontal well branch
Moving boundary；rwnIndicate Multilateral Wells wellbore radius；M indicates branch's number of branch horizontal well.
Step 4：According to the q in step 30Carry out branch horizontal well day actual production qsOperation, even if qs=q0, and remember
The production time is recorded, and draws the curve graph A of branch horizontal well day actual production and time, and draws branch horizontal well day reality
The curve graph B of water yield and time；
Step 5：When trip point occurs in the curve graph A of the step 4, branch horizontal well day actual production q is adjusteds, note
For q1；
Adjust branch horizontal well day actual production qsSpecific method be：
Step 5.1：Branch number m and each contiguous branch well perforation position are determined according to the drilling well of branch horizontal well and perforation data
The spacing l set, and it is as follows to establish the Tuning function based on Green's function：
Wherein,
In formula, β indicates shale formation pressure propagation coefficient；V indicates that spread speed drops in strata pressure；F (t) indicates adjustment letter
Number；T indicates mining time；INT () indicates bracket function；P indicates the pressure of reservoir any position；
Step 5.2：According to the Tuning function of step 5.1 to branch horizontal well day actual production qsIt is adjusted,
In formula, q1Indicate that gas well mouth adjusts the daily output；l0Indicate gas-bearing formation horizontal length；ZscIndicate gas under standard state
Compressibility factor；TscIndicate temperature under standard state；ρgscIndicate gas density under standard state；pscIndicate that standard state pushes
Power；T indicates formation temperature；Z indicates Gas Compression Factor；peIndicate original formation pressure；pwnIndicate horizontal well Multilateral Wells base pressure
Power；R (t) indicates the moving boundary under the influence of horizontal well branch；rwnIndicate Multilateral Wells wellbore radius.
Step 6：According to the q in step 51Carry out branch horizontal well day actual production qsOperation, even if qs=q1, and remember
The production time is recorded, and draws the curve graph A of branch horizontal well day actual production and time, and draws branch horizontal well day reality
The curve graph B of water yield and time；
Step 7：When trip point occurs in the curve graph A of the step 6, branch horizontal well day actual production q is adjusteds, note
For q2；
Step 8：Step 6 and step 7 are repeated until branch horizontal well day actual production and the curve graph A of time are not jumped
Until height, branch horizontal well day actual production will be no longer adjusted at this time；
Step 9：Branch horizontal well day practical water yield and the curve graph B of time on day practical water yield is summed to obtain
Accumulative water yield QWater is total, the accumulative water yield QWater is totalComputational methods be：
In formula, qProduce water dailyIndicate shale gas well day practical water yield；T indicates mining time.
When accumulative water yield and equal critical water yield, branch horizontal well is scrapped.
Obviously, described embodiments are only a part of embodiments of the present application, instead of all the embodiments.Based on this
Embodiment in application, every other reality obtained by those of ordinary skill in the art without making creative efforts
Example is applied, shall fall within the protection scope of the present application.Cause since total gas production of shale gas well includes gas pressure decline
Yield and shale gas stripping gas caused by yield two parts, therefore can reach by adjusting the well head yield of shale gas and delay
Water flooding output and extend the gas well service life to increase stripping gas yield, to be finally reached increase shale gas well total output mesh
's.
A kind of branch horizontal well recovery method based on Green's function, the characteristics of according to branch horizontal well shale gas exploitation,
The air water two phase fluid flow formula for considering shale gas Green's function is established, can fully exploit the shale gas of reservoir to improve
The recovery ratio of shale gas；The Tuning function based on Green's function is established, gas well yield can be reasonably adjusted, avoid blind
Purpose adjusts, and reduces the destruction to gas-bearing formation；It establishes according to the Tuning function classification adjustment gas well mouth based on Green's function
The formula of flow can reduce stratum producing pressure differential, to subtract by selecting the well head flow of rational classification adjustment shale gas
Slow water flooding water breakthrough, extends the production life of well of branch horizontal well；According to the recovery method based on Green's function in production curve figure
On when there is transition point, select suitable adjustment opportunity, the drop of pressure speed in the region that pressure drop funnel feeds through to can be delayed,
Extend stripping gas and time and amount of precipitation is precipitated, to increase cumulative production on the whole；It is adjusted after the generation of transition point, favorably
It carries the output water in horizontal wellbore in time in shale gas, reduces the harm that air-water mixture returns shaft bottom, reduce output water and exist
The aggregation in shaft bottom, it is efficient to reduce maintenance cost, save maintenance cost.
Claims (7)
1. a kind of branch horizontal well recovery method based on Green's function, which is characterized in that specifically include following steps：
Step 1：Determine the rock core absolute permeability k of target reservoir0With the viscosity, mu of shale gasg；
Step 2：Establish the air water two phase fluid flow formula under the influence of Green's function：
Wherein,
In formula, krwIndicate water phase relative permeability；μwIndicate aqueous viscosity；Indicate the barometric gradient of reservoir；qwIt indicates to divide
The theoretical water yield per day of branch horizontal well；qgIndicate the daily output tolerance of branch horizontal well；krgIndicate shale gas relative permeability；P tables
Show the pressure of reservoir any position；For dimensionless radius；For non dimensional time；For nothing
Dimension horizontal well length；For zero dimension horizontal well branch length；rwIndicate horizontal well radius；R indicates that reservoir is arbitrary
Distance of the point to Horizontal Well bottom；φ indicates the porosity of rock core；C indicates the compressed coefficient of rock core；rwnIndicate Multilateral Wells radius；
T indicates mining time；L indicates Horizontal Well segment length；Ln indicates Multilateral Wells well section length；l1Indicate reservoir along horizontal borehole axis
To direction random length；Gl(rD,tD) indicate Green's function；θ indicates Multilateral Wells and horizontal well included angle；N indicates n-th point
Branch；
Step 3：Calculate the theoretical value q of branch horizontal well shale gas yield0；
Step 4：According to the q in step 30Carry out branch horizontal well day actual production qsOperation, even if qs=q0, while recording life
The time is produced, and draws the curve graph A of branch horizontal well day actual production and time, and draws branch horizontal well day practical production water
The curve graph B of amount and time；
Step 5：When trip point occurs in the curve graph A of the step 4, branch horizontal well day actual production q is adjusteds, it is denoted as q1；
Step 6：According to the q in step 51Carry out branch horizontal well day actual production qsOperation, even if qs=q1, while recording life
The time is produced, and draws the curve graph A of branch horizontal well day actual production and time, and draws branch horizontal well day practical production water
The curve graph B of amount and time；
Step 7：When trip point occurs in the curve graph A of the step 6, branch horizontal well day actual production q is adjusteds, it is denoted as q2；
Step 8：Step 6 and step 7 are repeated until trip point do not occur in branch horizontal well day actual production and the curve graph A of time
Until, branch horizontal well day actual production will be no longer adjusted at this time；
Step 9：Branch horizontal well day practical water yield and the curve graph B of time on sum and added up to day practical water yield
Water yield QWater is total, when accumulative water yield and equal critical water yield, branch horizontal well is scrapped.
2. a kind of branch horizontal well recovery method based on Green's function according to claim 1, which is characterized in that described
Rock core absolute permeability k in step 10It is measured by automatic measuring instrument for permeability of rock core.
3. a kind of branch horizontal well recovery method based on Green's function according to claim 1, which is characterized in that described
The viscosity, mu of shale gas in step 1gIt is obtained by curve-fitting method.
4. a kind of branch horizontal well recovery method based on Green's function according to claim 1, which is characterized in that described
The theoretical value q of branch horizontal well shale gas yield is calculated in step 30Specific method be：
According to steady percolation theory, integral is carried out to formula (1) using pseudofunction method and show that shale gas production formula is：
In formula, l0Indicate gas-bearing formation horizontal length；ZscIndicate Gas Compression Factor under standard state；TscIndicate temperature under standard state
Degree；ρgscIndicate gas density under standard state；pscIndicate pressure under standard state；T indicates formation temperature；Z indicates gas compression
The factor；peIndicate original formation pressure；pwnIndicate horizontal well branch bottom pressure；It is dynamic under the influence of R (t) expression horizontal wells branch
Boundary；rwnIndicate Multilateral Wells wellbore radius；M indicates branch's number of branch horizontal well.
5. a kind of branch horizontal well recovery method based on Green's function according to claim 1, which is characterized in that described
Branch horizontal well day actual production q is adjusted in step 5sSpecific method be：
Step 5.1：Branch number m and each contiguous branch well perforating site are determined according to the drilling well of branch horizontal well and perforation data
Spacing l, and it is as follows to establish the Tuning function based on Green's function：
Wherein,
In formula, β indicates shale formation pressure propagation coefficient；V indicates that spread speed drops in strata pressure；F (t) indicates Tuning function；t
Indicate mining time；INT () indicates bracket function；P indicates the pressure of reservoir any position；
Step 5.2：According to the Tuning function of step 5.1 to branch horizontal well day actual production qsIt is adjusted,
In formula, q1Indicate that gas well mouth adjusts the daily output；l0Indicate gas-bearing formation horizontal length；ZscIndicate gas compression under standard state
The factor；TscIndicate temperature under standard state；ρgscIndicate gas density under standard state；pscIndicate pressure under standard state；T tables
Show formation temperature；Z indicates Gas Compression Factor；peIndicate original formation pressure；pwnIndicate horizontal well branch bottom pressure；R(t)
Indicate the moving boundary under the influence of horizontal well branch；rwnIndicate Multilateral Wells wellbore radius.
6. a kind of branch horizontal well recovery method based on Green's function according to claim 1, which is characterized in that described
Add up water yield Q in step 9Water is totalComputational methods be：
In formula, qProduce water dailyIndicate shale gas well day practical water yield；T indicates mining time.
7. a kind of branch horizontal well recovery method based on Green's function according to claim 1, which is characterized in that described
Critical water yield is determined by the prospect pit and well test data of target reservoir formation in step 9.
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