CN106980758A - A kind of quick calculation method of flooding pattern flow field velocity - Google Patents
A kind of quick calculation method of flooding pattern flow field velocity Download PDFInfo
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Abstract
The present invention provides a kind of quick calculation method of flooding pattern flow field velocity, including note adopts streamline approximate calculation method, streamline and adopts correction factor M computational methods, the computational methods of flooding pattern flow field velocity of the angle to speed to the correction factor C computational methods of speed, note around tomography computational methods, flow curvature.According to it is described note adopt streamline approximate calculation method, streamline around tomography computational methods set up injection-production well between Flow Field Distribution, correction factor of the angle to the correction factor M computational methods computational flow speed of speed is adopted to the correction factor C computational methods of speed, note using the flow curvature, flow field velocity calculating is carried out using the computational methods of the flooding pattern flow field velocity.Permeation fluid mechanics method can not embody oil reservoir Heterogeneous Characteristics and method for numerical simulation process complexity, length research cycle, to personnel requirement limitation during the present invention solves Study on Flow Field so that the quick calculating of flooding pattern fluid velocity is achieved.
Description
Technical field
The present invention relates to the oil reservoir Flow Field Distribution and flow field velocity research field in oil reservoir development adjustment, in particular it relates to
A kind of quick calculation method field of flooding pattern flow field velocity.
Background technology
Especially no matter harvesting is improved in oilfield development process using conventional hydrodynamics method in ultra-high water cut stage
Rate, or using the tertiary oil recovery mode of injection chemical agent, top priority is to get oil reservoir injection clear to adopt flow field and flow velocity size, bright
True water breakthrough direction determines development contradiction, according to flow field contradiction, carries out targetedly Well pattern edjustment conceptual design and liquid measure optimization is set
Meter.It can be seen that on the basis of flooding pattern, a kind of quick calculation method of flooding pattern flow field velocity is set up, for enriching hydrodynamic force
Method, perfect scheme design theory, improve conceptual design efficiency and effect there is very useful engineering theory and valency is applied
Value.
The research method in flooding pattern flow field mainly include Interwell tracer, well-logging method, reservoir engineering method, based on most
Inter well connectivity evaluation method, method for numerical simulation and the streamline simulation method of the principle of optimality, wherein Interwell tracer, well testing side
Method construction cost is high, research cycle is long；Reservoir engineering method requires high to researcher's professional qualities, and analysis result is only limited to
In qualitatively；Optimal method is a kind of fuzzy Judgment method completely based on mathematical theory, and as a result ambiguity can use by force
Property is low；Numerical simulation and streamlined impeller analogy method are stressed the influence of field computation precision, Method And Principle science but resultant error
Larger actual operation is poor.The limitation of various methods is directed to as can be seen here, it is necessary to which setting up a set of can cover geology, well pattern
Well spacing, note adopt dynamic flooding pattern fluid velocity field computation method that is quick, simple, quantifying to be had for reservoir engineering research
Very important meaning.
For tracer testing method the high periodically long, reservoir engineering method of cost qualitatively quantify by force it is weak, optimal
The features such as strong periodicity length with a low credibility and numerical simulation streamlined impeller method of the ambiguity of change method is error big, to ooze
Flow based on theory of mechanics, reservoir heterogeneity is for seepage flow approximate processing, consideration well are carried out streamline track injection-production well
Influence, the change of consideration streamline Macroscopic Curvature and influence of the angle to flow stream velocity between injection-production well of speed, are built using principle of stacking
It is vertical to consider the quick calculation method that reservoir properties, Well Pattern And Spacing, note adopt dynamic flooding pattern fluid velocity.
The content of the invention
The main purpose of the embodiment of the present invention is to provide a kind of quick calculation method of flooding pattern flow field velocity, to solve
Either certainly existing flow field velocity computational methods method is complicated, cost is high, the cycle is long, or it is strong qualitatively to quantify weak, ambiguity by force
Defect with a low credibility.
To achieve these goals, the embodiment of the present invention provides a kind of quick calculation method of flooding pattern flow field velocity,
Including：
Note adopts streamline approximate calculation method, streamline and the correction factor C of speed is calculated around tomography computational methods, flow curvature
Method, note adopt correction factor M computational methods, the computational methods of flooding pattern flow field velocity of the angle to speed.
According to it is described note adopt streamline approximate calculation method, streamline around tomography computational methods set up injection-production well between Flow Field Distribution；
Respectively using the flow curvature correction factor C computational methods of speed, note are adopted angle to the correction of speed because
Sub- M computational methods, obtain flow field velocity correction factor C and correction factor M；
Flow field velocity calculating is carried out using the computational methods of the flooding pattern flow field velocity.
The angle being association of activity and inertia by means of above-mentioned technical proposal, the present invention from oil reservoir, is carried out to flooding pattern streamline track
The change of track Macroscopic Curvature, note adopt influence of the angle for flow field velocity between anisotropism, well between approximate processing, consideration well, profit
With principle of stacking, set up and consider that reservoir properties, Well Pattern And Spacing, note adopt a kind of dynamic quick calculating of flooding pattern flow field velocity
Method.Compared to prior art feature, the present invention solves method for numerical simulation Complicated Periodic length, tracer testing technical costs
The high cycle is long, and reservoir engineering method qualitatively quantifies by force contradiction weak, that optimal method ambiguity is strong so that flooding pattern flow field
The calculating of speed is simple, quick, quantify to be achieved, and further enriches hydrodynamics research method, perfect conceptual design
It is theoretical, improve conceptual design efficiency and effect, the invention has very useful engineering theory application value.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, embodiment will be described below
In required for the accompanying drawing that uses be briefly described, it should be apparent that, drawings in the following description are only some of the present invention
Embodiment, for those of ordinary skill in the art, without having to pay creative labor, can also be according to these
Accompanying drawing obtains other accompanying drawings.
Fig. 1 is the schematic flow sheet that the flooding pattern flow field velocity that the embodiment of the present invention one is provided quickly is calculated；
Fig. 2 is the rhombus model trajectory calculation principle schematic that the embodiment of the present invention one is provided；
Fig. 3 is the straight line model trajectory calculation principle schematic that the embodiment of the present invention one is provided；
Fig. 4 is the passing fault streamline schematic diagram that the embodiment of the present invention one is provided；
Fig. 5 is the Macroscopic Curvature correction principle schematic diagram that the embodiment of the present invention one is provided；
Fig. 6 is the circular arc stream tube model decomposing schematic representation that the embodiment of the present invention one is provided；
Fig. 7 is the circular expanding angle calculation of arc length model that the embodiment of the present invention one is provided；
Fig. 8 is the expanding angle calculation of straight line model that the embodiment of the present invention one is provided；
Fig. 9 is the expanding angle calculation of rhombus model that the embodiment of the present invention one is provided；
Figure 10 is that the note that the embodiment of the present invention one is provided adopts angle calcu-lation schematic diagram；
Figure 11 is the heterogeneous linear model schematic diagram of transverse direction that the embodiment of the present invention one is provided；
Figure 12 be the embodiment of the present invention one provide anisotropism 4.:3.=400:400、④:3.=550:250、④:③
=700:100 flow field velocity figures.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete
Site preparation is described, it is clear that described embodiment is only a part of embodiment of the invention, rather than whole embodiments.It is based on
Embodiment in the present invention, it is every other that those of ordinary skill in the art are obtained under the premise of creative work is not made
Embodiment, belongs to the scope of protection of the invention.
Embodiment one
The present embodiment provides a kind of quick calculation method of flooding pattern flow field velocity, as shown in figure 1, this method includes：
Step 1：Note adopts streamline approximate calculation method
If P coordinates in any point are (X between injection-production wellp, Yp), any point P to water injection well Inj (X is calculated respectively1, Y1)
Apart from d1And to producing well Pro (X2, Y2) apart from d2。
(1) rhombus model
For straight line model as shown in Fig. 2 straightway d1Slope K1For：
Straightway d1Equation be：Y=K1(X-X1)+Y1
Injection-production well line midpoint O coordinates：
The vertical line slope K of injection-production well line2For：
The vertical line equation for obtaining midpoint O and injection-production well line is：Y=K2(X-X0)+Y0
Order：Straightway d1It is (X with crossing midpoint O with injection-production well line vertical line intersection point T coordinatesT,YT), thus obtain：
YT=K1(XT-X1)+Y1Or YT=K2(XT-X0)+Y0
It is (X by T coordinatesT,YT), calculating is obtained：
(2) straight line model
For straight line model as shown in figure 3, directly calculating any point P (X between injection-production wellp, Yp) arrive water injection well Inj (X1,
Y1) apart from d1With to producing well Pro (X2, Y2) apart from d2, this method is compared with rhombus model calculating speed faster.
Step 2：Streamline is around tomography computational methods
Micro-small fault is there may be for fault block oil reservoir, between water injection well and producing well to block, when tomography extension is not enough to
When playing packing effect for injection-production well flow field, injection water will form injection water around tomography around passing fault endpoint stream to producing well
Phenomenon is specific as shown in figure 4, now, for arbitrfary point P in oil reservoir, can be divided into two kinds of situations progress streamlines approximate.
(1) P1 points are in the position between water injection well and tomography
Streamline can flow to tomography end points, i.e. Inj-M1-A and I-M1-B by two kinds of approach, because ∠ I-M1-A are small
It is turn back line in 90 °, can not possibly exists among reality, it is seen that the simplification path of the position M1 points between water injection well and tomography
Mode can carry out approximately, thereby determining that water injection well Inj by fault barrier effect and producing well using Inj-M1-B-Pro
Pro streamline should approximately meet following condition：
①∠Inj-M1-B>90°
②∠M1-B-Pro>90°
3. Dis (Inj-M1-B-Pro)=d01+d02+d1<Dmax
Wherein：Dis (Inj-M1-B-Pro) is the length in Inj-M1-B-Pro paths；Dmax is well testing injection-production well control half
2 times of footpath.
(2) P2 points are in the position between producing well and tomography
For producing well side, streamline can flow to producing well Pro points by two kinds of approach, i.e. Inj-A-M2-Pro and
Inj-B-M2-Pro, is turn back line because ∠ Pro-M2-B are less than 90 °, can not possibly exist among reality, it is seen that in life
Production well can be carried out approximate with the simplification path fashion of the position M2 points between tomography using Inj-A-M2-Pro.Thereby determine that
Producing well P should be met following condition by fault barrier effect is approximate with water injection well I streamline：
①∠Pro-M2-A>90°
②∠M2-A-Inj>90°
3. Dis (Inj-A-M2-Pro)=d0+d11+d12<Dmax
Step 3：Correction factor C computational methods of the flow curvature to speed
(1) Macroscopic Curvature correction principle
The gradation type bend pipe flowing shown in Fig. 6 can be expressed as flow tube unit model during plane seepage flow Fig. 5,
For the flowing of gradation type bend pipe, it can be decomposed into：Equal-diameter elbow flow process+flaring type flow process+gradual shrinkage flow process.
1. for equal-diameter elbow flow process
Flowed in bend pipe, flow direction changes, and speed is constant, the waterhead fall that bend pipe is produced depends on
In the angle, θ and the ratio of radius of curvature size and pipe diameter size of bend pipe, bend pipe often uses resistance coefficient expression formula：
In formula：ξ is resistance coefficient；R, R are respectively elbow radius and radius of curvature；α is bend pipe angle.
For the calculating of 180 ° of bend pipe resistance coefficient, 2 times of right-angle elbow pipe resistance coefficient approximate calculation can be used.
2. for flaring type flow process
Expression formula for increaser local loosening ξ is calculated as：
In formula：λ is friction drag coefficient, for laminar flow,V is flowing velocity, m/s；D is interior
Footpath, m；θ is expanding angle, °；A1、A2For inlet/outlet sectional area；
3. for gradual shrinkage flow process
For gradual shrinkage flow process, resistance coefficient change is little, typically takes ξ=0.04.
(2) calculating of expanding angle, θ
For the calculating of expanding angle, θ, circular arc length model, straight line model, three kinds of models and rhombus model can be passed through
Calculated, comprised the following steps that.
1. circular arc length model
Calculating for the circular expanding angle, θ of arc length model is as shown in fig. 7, make two arc distances from L3It is set as that grid is maximum wide
Degree, expanding angle, θ computational methods：
Because：L4=R1-R1cosθ1-L3、
Because：So：θ=θ1-θ2
2. straight line model
For the expanding angle, θ of straight line model calculating as shown in figure 8, calculating process is as follows.
3. rhombus model
For the expanding angle, θ of rhombus model calculating as shown in figure 9, calculating process is as follows.
It can be seen that, the extra coefficient of resistance caused by flow tube is bent with flow tube gradual change is：
(3) curvature correction coefficient C is determined
Frictional resistance change ratio is that curvature correction coefficient C is：
Step 4：Note adopts correction factor M computational methods of the angle to speed
In the case where flooding pattern is controlled (A, B, C be producing well, D, E be water injection well) as shown in Figure 10, on reservoir Plane Fluid Field
The size of any point O flow velocitys by static parameters such as distance, reservoir properties in addition to being influenceed, also by the point and water injection well, production
The angle ∠ AOD of well line formation, ∠ BOD, ∠ COD, ∠ AOE, ∠ BOE, ∠ COE sizes are relevant, it can be seen that：
(1) ∠ BOE, ∠ COE are respectively less than 90 °, it is seen that O points are influenceed very little by control between water injection well E and producing well B, C well,
It can ignore；
(2) ∠ AOE are more than 90 °, from injection-production relation, and O points are had one by control between water injection well E and producing well A wells
Fixed possibility；
(3) ∠ AOD, ∠ BOD, ∠ COD are all higher than 90 °, wherein ∠ BOD>∠COD>∠ AOD, from injection-production relation, angle
Degree is bigger, and control ability is stronger；
As can be seen here, any point O in reservoir plane, when the angle of itself and injection-production well line formation is less than 90 °, can be neglected
For the control ability of the point slightly between injection-production well, when angle is more than 90 °, with the increase of angle, control ability is incrementally increased,
When angle is equal to 180 °, O points are on main stream line, and most strong by controlling extent between injection-production well well, percolation flow velocity is bigger.
Consider that water filling that the difference on injection-production well line perpendicular direction is caused is advanced by leaps and bounds and injected water horizontal proliferation, is obtained
Note adopts correction factor M of the angle to speed：
M=(cos δ)n
In formula：M is angle modifying factor between injection-production well；δ is the point and the angle of water injection well producing well line formation；N is
Injection-production well line permeability in plane with being perpendicularly to the direction the ratio between permeability.
Step 5：The computational methods of flooding pattern flow field velocity
Know that any point O corresponds to i-th in oil reservoir by the principle of stacking of the Isoquant multi-source remittance infinity plane radial direction force and velocity of a current
Mouthful well is in the velocity that the point is produced：
It is preferred that, in above-mentioned steps 5, it particularly may be divided into following Four processes：
Process 1：Non-homogeneous model computing permeability
For linear seepage flow, it is assumed that streamwise is heterogeneous, length is respectively L1、L2、L3, core intersection is h, is oozed
Saturating rate is respectively K1、K2、K3, then：
Stratum total length L=L1+L2+L3, Δ P=Δs P1+ΔP2+ΔP3, Q=Q1=Q2=Q3
According to Darcy formula：
Obtaining linear seepage flow mean permeability K is：
Process 2：The calculating of injection production pressure difference
(1) injection production pressure difference when giving bottom pressure is calculated
ΔpMij=pInjMij-pproMij
(2) injection production pressure difference given under note Discharge rate is calculated
In formula：Subscript Inji、projRespectively water injection well i and producing well j ambient parameters, a is drainage radius.
(3) injection production pressure difference given under rice note Discharge rate is calculated
(4) drainage radius a determination
The calculating of oil-water well drainage radius is using infinitely great formation plane radial flow Darcy formula：
By oil and gas well testing, in specific permeability k' and a', calculate specific pressure drop Δ p', then it is pressed than
Example is corrected to total pressure drop corresponding during a → ∞, and particular value such as 5000m can be set in this ∞；It is actual according to each mouth well afterwards
Situation k, h carries out pressure drop correction, and Δ p, this pressure drop drop in the actual pressure obtained under the actual note Discharge rate of each individual well at present
As Δ pMij。
Process 3：O point flooding patterns flow field velocity is calculated
O points corresponding i, j well formation vector velocity be：
In formula：I is the corresponding water injection well numbering of O points；J is the corresponding producing well numbering of O points；CijFor the corresponding macroscopic view of O points
Curvature correction coefficient；For the corresponding track mean permeability of O points；aijFor distance between water injection well i and producing well j；For
Respectively O points are to water injection well i, producing well j distances.
The flow field velocity of O points is vector superposed to be：
Process 4：Flooding pattern flow field velocity calculation procedure
Specific flooding pattern flow field velocity calculation procedure is as follows：
1. according to numerical simulation mesh generation result and well pattern control form, appoint and take a grid element center point O；
2. corresponding water injection well i and producing well j is searched for；
3. trajectory parameters model is utilized, point O and water injection well i track and the track to producing well j is calculated；
4. the average reservoir physical parameter thickness in track, permeability, saturation degree etc. are calculated；
5. Macroscopic Curvature correction coefficient C is calculatedij；
6. calculate note and adopt angle influence correction coefficient (cos δMij)n；
7. all water injection well is corresponding with O points, producing well j strength of water drive are calculated repeatedly
8. vector calculating is carried out to the vector flow field velocity of all calculating, obtains the flow field velocity of the point；
9. 1.~8. process is repeated, all grid nodes are calculated, obtains considering that static parameter, well pattern form, note are adopted
The flooding pattern flow field velocity of state.
Embodiment two
In order to which the application effect of the quick calculation method of the flooding pattern flow field velocity of the offer of embodiment one has more intuitively
Understand, the embodiment of the present invention is now illustrated by taking the calculating process using the above method as an example.
Triangle well pattern is adopted for a note two, the heterogeneous design of model is interpolated using the different ratios of permeability between injection-production well
After form non-homogeneous model, design parameter Proportionality design is as shown in table 1
The note two of table 1 one adopts the design of triangle well pattern anisotropism
| Anisotropism | Model 1 | Model 2 | Model 3 |
| ④:③ | 400:400 | 550:250 | 700:100 |
Three kinds of models of design are adopted for a note two, calculate respectively remaining oil saturation when moisture content reaches 98%,
Strength of water drive, water drive degree dividing elements result are as shown in figure 12, it can be seen that when water injection well and production interwell permeability bigger than normal,
After this mouthful of well moisture content reaches 98%, obvious water breakthrough passage is formed between this two mouthfuls of wells, flow field velocity is larger, and remaining oil is in water
Cross-hole region is altered substantially without potentiality, REGION OF WATER INJECTION OILFIELD is concentrated mainly on flow field velocity between producing well and between non-water breakthrough well compared with cell
Domain.
Particular embodiments described above, has been carried out further in detail to the purpose of the present invention, technical scheme and beneficial effect
Describe in detail it is bright, should be understood that the foregoing is only the present invention specific embodiment, the guarantor being not intended to limit the present invention
Scope is protected, within the spirit and principles of the invention, any modification, equivalent substitution and improvements done etc. should be included in this
Within the protection domain of invention.
Claims (6)
1. a kind of quick calculation method of flooding pattern flow field velocity, it is characterised in that including：Note adopts streamline approximate calculation side
Method, streamline adopt correction of the angle to speed around tomography computational methods, flow curvature to the correction factor C computational methods of speed, note
The computational methods of factor M computational methods, flooding pattern flow field velocity.
According to it is described note adopt streamline approximate calculation method, streamline around tomography computational methods set up injection-production well between Flow Field Distribution, utilize
The flow curvature adopts angle and the correction factor M computational methods of speed are calculated to the correction factor C computational methods of speed, note to flow
The correction factor of field speed degree, flow field velocity calculating is carried out using the computational methods of the flooding pattern flow field velocity.
2. according to the method described in claim 1, it is characterised in that the note adopts streamline approximate calculation method, it is specially：Homogeneous
The uniform thickness infinity stratum Isoquant source remittance streamline that any point P is produced in the earth formation is one group of circular arc, by residing for arc track
Grid search process calculating speed influences, the rhombus mould that arc model is reduced to be constituted with water injection well -3 points of point P- producing wells
Type or straight line model, to shorten the calculation of streamlines time.
3. according to the method described in claim 1, it is characterised in that the streamline is around tomography computational methods, specially：Work as tomography
When curtailment adopts packing effect to form note, form injection water and flow into producing well phenomenon around tomography, for any between injection-production well
Point P, can be divided into point P and be in tomography homonymy and point P with producing well in two kinds of situations progress streamlines of tomography homonymy with water injection well
Calculate, Computing Principle is that the track of discounting of water injection well-point P (tomography end points)-tomography end points (point P)-producing well formation comes approximate
Simulate streamline.
4. according to the method described in claim 1, it is characterised in that correction factor C calculating side of the flow curvature to speed
Method, be specially：The flow tube unit model of streamline formation can be expressed as the flowing of gradation type bend pipe, by the flowing of gradation type bend pipe again
It is secondary to be decomposed into equal-diameter elbow flow process+flaring type flow process+gradual shrinkage flow process, three flow process are calculated respectively to rub
Resistance, calculates percolation flow velocity correction factor C.
5. according to the method described in claim 1, it is characterised in that the note adopts correction factor M calculating side of the angle to speed
Method, be specially：The size of any point P percolation flow velocities by static parameters such as distance, reservoir properties except being influenceed in reservoir plane
Outside, go back receptor site P relevant with the corner dimension of water injection well, the formation of producing well line, when line angle is less than 90 °, can ignore
The percolation flow velocity between injection-production well, when angle is more than 90 °, with the increase of angle, speed influence increase, when angle is equal to
At 180 °, the point is on main stream line, and speed influence is maximum, and the power side of the angle cosine value thus is adopted into angle as note
Speed correction factor M.
6. according to the method described in claim 1, it is characterised in that the computational methods of the flooding pattern flow field velocity, specifically
For：By the principle of stacking of the Isoquant multi-source remittance infinity plane radial direction force and velocity of a current, any point P exists corresponding to i-th mouthful of well in oil reservoir
The velocity that the point is produced, obtains final flooding pattern flow field speed after the speed calibrated factor C and correction factor M correction
Degree, wherein the calculating for pressure difference is divided into three kinds of situations, that is, under the injection production pressure difference, given note Discharge rate when giving bottom pressure
Injection production pressure difference computational methods under injection production pressure difference computational methods and given rice note Discharge rate.
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| CN108049849A (en) * | 2017-09-07 | 2018-05-18 | 中国石油化工股份有限公司 | Water-drive pool Plane Fluid Field regulates and controls design method |
| CN108049849B (en) * | 2017-09-07 | 2019-11-29 | 中国石油化工股份有限公司 | Water-drive pool Plane Fluid Field regulates and controls design method |
| CN108868745A (en) * | 2018-07-09 | 2018-11-23 | 中国石油大学(华东) | A kind of oil reservoir flow field matching evaluation method |
| CN108868745B (en) * | 2018-07-09 | 2021-10-01 | 中国石油大学(华东) | Oil reservoir flow field matching evaluation method |
| CN109933899A (en) * | 2019-03-13 | 2019-06-25 | 中国石油大学(华东) | A kind of water drive old filed cyclic waterflooding development cycle calculates plate and determines method |
| CN109933899B (en) * | 2019-03-13 | 2023-04-25 | 中国石油大学(华东) | Method for determining water flooding old oilfield period water flooding development period calculation chart |
| CN110826171A (en) * | 2019-09-18 | 2020-02-21 | 深圳先进技术研究院 | Method and device for simulating external flow field of fan and computer readable storage medium |
| CN116341406A (en) * | 2023-03-03 | 2023-06-27 | 常州大学 | Calculation method for determining injection and production interference time of inclined oil reservoir |
| CN116341406B (en) * | 2023-03-03 | 2024-04-23 | 常州大学 | Calculation method for determining injection and production interference time of inclined oil reservoir |
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