CN106777628A - Consider the oil reservoir injectivity and productivity plate method for drafting of non-Darcy flow - Google Patents
Consider the oil reservoir injectivity and productivity plate method for drafting of non-Darcy flow Download PDFInfo
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Abstract
The application is related to a kind of oil reservoir injectivity and productivity plate method for drafting for considering non-Darcy flow, and the method comprises the following steps：(1) target block rock core is extracted, test starting barometric gradient obtains the feature expression of free-boundary problem；(2) oil reservoir basic data is collected, free-boundary problem is calculated；(3) low-permeability oil deposit vertical well fracture productivity model is corrected, regression training obtains the modifying factor of Productivity Formulae；(4) arrange parameter constant interval, carries out sensitivity analysis, completes the drafting of AOF calculation plate；(5) water injection well balance injectivity index is calculated, different injection-production ratios is set, complete the drafting of water injection pressure plate.The application obtains Productivity Formulae by the regression training of real data, the plane heterogeneity for overcoming generally existing during LOW PERMEABILITY OILFIELD DEVELOPMENT is strong, the problems such as region product note capacity variance is big, improve the precision of AOF calculation, the product note integration of formation calculates plate, it is easy to instruct the actual production of low permeability oil field.
Description
Technical field
This method belongs to oil-gas field development field, in particular it relates to a kind of low-permeability oil deposit injectivity and productivity plate drafting side
Method.
Background technology
In explored reserves, the ratio of low-permeability oil deposit reserves is very high, accounts for more than the 2/3 of national reserves, exploitation
Have a high potential.The characteristics of there is typical note not enter, can not adopt during development of low-permeability oil reservoir：Water injection well injection pressure is high,
Water absorbing capacity is poor, or even the extreme case such as occur building the pressure；Producing well can just possess production capacity, water breakthrough by fracturing reform mostly
Decline substantially without therefore fluid productivity index afterwards, oil reservoir stable yields difficulty is big；Therefore, the product note ability tool of low-permeability oil deposit is calculated exactly
Have reality and important meaning.
At present, vertical well fracture productivity model both domestic and external is based primarily upon free-boundary problem and stress sensitivity, but
This does not have universality for heterogeneous stronger low permeability oil field.The production capacity degree of accuracy for directly being calculated using productivity model
It is relatively low, it is impossible to instruct actual production.
The content of the invention
For low permeability oil field plane heterogeneity by force, the problems such as region product note capacity variance is big, the present invention is to hyposmosis
Oil field production capacity computational methods have carried out correlative study, on the basis of low-permeability oil deposit non-Darcy flow feature is considered, correct low
Infiltration oil reservoir vertical well fracture steady state productivity computation model, the production capacity meter for obtaining matching with actual block is trained by data regression
Formula is calculated, solves the problems, such as that low-permeability oil deposit product note capacity variance is big, and be applied to the drafting of rational productivity plate；According to
Note power balance and water flooding feature pressure equation are produced, the drafting of water injection pressure plate is completed, two sets of plates are overlapped, is formed and is produced note one
The application plate of body, to instruct actual production.
To achieve the above object, the present invention uses following technical scheme：
Consider the oil reservoir injectivity and productivity plate method for drafting of non-Darcy flow, comprise the following steps：
Step one：Target block rock core is extracted, test starting barometric gradient obtains feature expression；
Step 2：Oil reservoir basic data is collected, free-boundary problem is calculated；
Step 3：Amendment low-permeability oil deposit vertical well fracture productivity model, regression training obtains the amendment of Productivity Formulae
The factor；
Step 4：Arrange parameter constant interval, carries out sensitivity analysis, completes the drafting of AOF calculation plate；
Step 5：Water injection well balance injectivity index is calculated, different injection-production ratios are set, calculate water injection well water injection rate, completed
The drafting of water injection pressure plate.
Compared with prior art, the present invention has the advantages that：
1st, consider low-permeability oil deposit non-Darcy flow feature, correct vertical well fracture steady state productivity computation model；
2nd, according to the characteristic of different oil reservoirs difference flooding unit itself, recurrence obtains the production capacity supporting with specific flooding unit
Computation model, overcomes the problems such as low permeability oil field is heterogeneous relatively strong, and region product note capacity variance is big；
3rd, according to note equilibrium principle is produced, by water flooding feature curve, the product note integral application with directive significance is obtained
Plate, facilitates produce reality application.
Brief description of the drawings
Fig. 1 is the oil reservoir injectivity and productivity plate method for drafting schematic flow sheet for considering non-Darcy flow；
Fig. 2 is minimum starting pressure gradient determination experiment device；
Fig. 3 is free-boundary problem experiment and permeability relation curve；
Fig. 4 is AOF calculation plate；
Fig. 5 is water injection indication curve；
Fig. 6 adopts integrated plate for note.
Specific embodiment
As shown in Figure 1, it is considered to the oil reservoir injectivity and productivity plate method for drafting of non-Darcy flow, comprise the following steps：
Step one, extraction target block rock core, test starting barometric gradient obtain feature expression；Specifically, including such as
Lower step：
(1) oil reservoir target block, is selected, target block rock core, perm-plug method after rock core is dried, then by rock is extracted
The heart soaks more than 40h in normal saline solution；The normal saline solution salinity is 10000mg/L, and viscosity is 0.9038mPas；
(2), combine and free-boundary problem experimental apparatus for testing is installed：
Free-boundary problem experimental apparatus for testing includes high pressure displacement pump, core holding unit, the big portion of capillary with a scale three
Point, as shown in Fig. 2 minimum starting pressure gradient can be determined rapidly and accurately.The high-pressure metering pump mainly provides high accuracy
The displacement of the liquid or gas of flow or high accuracy constant high-pressure, including liquid displacement module, gas displacement module, and it is equipped with meter
Calculation machine software control injection pressure and injection rate, can design three-phase (gas, oil, water) core analysis test system；
(3) it is, slow to fluid is injected in saturated core using high pressure displacement pump, by observing gas column in port of export capillary
Situation of movement, when gas column occurs unit displacement 1mm, judges that driving pressure has overcome the minimum startup pressure of rock core, it is determined that most
Small startup pressure limit, and termination of pumping, close arrival end valve；
The injection fluid is experiment kerosene, and viscosity is 1.6166mPas.
(4), when in capillary gas column no longer move and when precision instrument reading is constant, recording apparatus pressure value Pg, enter one
Step is tried to achieve rock core minimum starting pressure gradient and is：
Wherein, G is rock core minimum starting pressure gradient；pgIt is recording apparatus pressure value；L is the length of rock core.
(5), the experimental data after treatment is made scatter diagram by computer, and carries out simply data fitting, is opened
The feature expression of dynamic pressure gradient；
Step 2, collection oil reservoir basic data, calculate free-boundary problem；Specifically, comprise the following steps：
(1) basic datas such as creation data, reservoir properties, the fluid properties of target block, are collected；
The creation data refers to producing pressure differential, Liquid output, fracture length；Reservoir properties refer to quick effective thickness, stress
Sense coefficient；Fluid properties refer to permeability, viscosity.
(2), the feature expression obtained using free-boundary problem test experiments, calculates free-boundary problem；
Step 3, amendment low-permeability oil deposit vertical well fracture productivity model, regression training obtain the amendment of Productivity Formulae
The factor；Specifically, comprise the following steps：
(1), consider that the Productivity Formulae of the low-permeability oil deposit vertical well fracture of non-Darcy flow is as follows：
Wherein, q is Liquid output, and k is permeability, and h is formation thickness, and μ is viscosity, and α is stress sensitive coefficients, peIt is oil reservoir
Pressure, pwfIt is flowing bottomhole pressure (FBHP), (pe-pwf) it is producing pressure differential, xfIt is fracture length, G is free-boundary problem, ueAnd uwIt is middle
Variable (ue≈ln(2Re/xf), uw≈0)。
The simplification of vertical well fracture Productivity Formulae is processed, addition factor of influence β 1, β 2, β 3, β 4, β 5 are carried out to Productivity Formulae
Amendment.Revised Productivity Formulae is as follows：
(2), by oil reservoir basic data substitution amendment Productivity Formulae, the equation group of object function is built, builds and optimize
Object function equation group it is as follows：
F (x)=q-qIt is actual
Wherein, q is to calculate Liquid output；qIt is actualIt is actual Liquid output；F (x) is object function；X is |input paramete；N is target
The producing well number of unit；Z is object function equation group.
(3) regression training, is carried out to equation group using optimization alternative manner, factor of influence factor beta 1, β 2, β 3, β is asked for
4th, β 5, in substitution amendment deliverability calculation, so as to obtain the deliverability calculation supporting with target block；
(4), the accuracy of the deliverability calculation that test is returned, if meeting precision<10%, then export Productivity Formulae；If
Precision is more than 10%, then proceed regression training next time, until reaching required precision；
Step 4, arrange parameter constant interval, carry out sensitivity analysis, complete the drafting of AOF calculation plate；Specifically,
Comprise the following steps：
(1), arrange parameter constant interval, sensitivity analysis is carried out to Productivity Formulae, contrasts production history amplitude size, really
The fixing Dominated Factors for ringing block production capacity；
(2) average value of non-Dominated Factors, is counted, the constant interval of Dominated Factors is set；
(3) AOF calculation plate, is drawn；
Step 5, calculating water injection well balance injectivity index, set different injection-production ratios, complete painting for water injection pressure plate
System；Specifically, comprise the following steps：
(1), the water injection pressure and water injection rate data of statistics flooding unit, calculates water injection well balance injectivity index and water filling is opened
Dynamic pressure；
The injectivity index is daily water-injection rate of the water injection well under unit difference between reservoir pre ssure and injection pressure, and it reflects water injection well water injection capacity
And the size of oil reservoir water absorbing capacity；
(2), different injection-to-producing well ratios are set, the injection indicatrix under different injection mode is drawn, water injection rate is calculated
Formula is shown below：
Jw'=Jw×C
qinj=Jw'×(pf-pc)
Wherein, JwIt is balance injectivity index；C is injection-production ratio；J'wIt is injectivity index；pfIt is water injection pressure；pcFor water filling is opened
Dynamic pressure；qinjIt is water injection well water injection rate；
(3), water injection indication curve and AOF calculation plate are overlapped, note is formed and is adopted integrated plate；
Embodiment
Step one, extraction target block rock core, test starting barometric gradient obtain feature expression；
A note exploiting field block in selected oil reservoir A, table 1 is free-boundary problem experimental data, and Fig. 3 is that computer will be processed
Scatter diagram and the free-boundary problem experiment of fitting and permeability relation curve that data afterwards are made
The free-boundary problem experimental data of table 1
| Permeability (md) | 10.2 | 22.6 | 12.0 | 2.8 | 4.1 | 2.32 |
| Free-boundary problem (MPa/m) | 0.105 | 0.604 | 0.082 | 0.406 | 0.328 | 0.528 |
Be fitted free-boundary problem is with the variation relation formula of permeability
G=1.1811k-0.995
Step 2, collection oil reservoir basic data, calculate free-boundary problem；
Note exploiting field block creation data, reservoir properties, the basic parameter of fluid properties are collected, and is surveyed using free-boundary problem
The feature expression that examination experiment is obtained, as shown in table 2：
The block statistical information of table 2
| Pound sign | Permeability | Formation thickness | Producing pressure differential | Free-boundary problem | Fracture length | Liquid output |
| 1 | 8.2 | 12.3 | 8.2 | 0.014556 | 75.6 | 4.2 |
| 2 | 11.2 | 8.2 | 10.4 | 0.106737 | 100 | 7.5 |
| 3 | 14.5 | 16.5 | 12.5 | 0.082552 | 122.5 | 15.1 |
| 4 | 15.9 | 10.2 | 15.2 | 0.075318 | 146 | 22.3 |
| 5 | 19.8 | 12.1 | 11.2 | 0.060549 | 132 | 14.2 |
| 6 | 8.3 | 26 | 9.5 | 0.143815 | 56.3 | 4.2 |
| 7 | 10 | 11.4 | 13.5 | 0.119478 | 124 | 15.2 |
| 8 | 16 | 18 | 15.6 | 0.074849 | 130 | 20.3 |
Pressure sensitivity coefficient is 0.037, and viscosity is 1.1mPags
Step 3, amendment low-permeability oil deposit vertical well fracture productivity model, regression training obtain the amendment of Productivity Formulae
The factor；
Consider that the Productivity Formulae of the low-permeability oil deposit vertical well fracture of non-Darcy flow is as follows：
Addition factor of influence β 1, β 2, β 3, β 4, β 5 are corrected, and Productivity Formulae is modified.Revised Productivity Formulae is such as
Under：
By in oil reservoir basic data substitution amendment Productivity Formulae, the equation group of object function is built, build the mesh for optimizing
Scalar functions equation group is as follows：
Optimize alternative manner using Levenberg-Marquardt carries out regression training to above-mentioned equation group, asks for shadow
Ring factor factor beta 1, β 2, β 3, β 4, β 5, substitute into amendment Productivity Formulae, obtain be with the deliverability calculation that target block is supporting：
Separately take one group of creation data carries out accuracy test to the Productivity Formulae corrected, and accuracy test result is as shown in the table：
The accuracy test table of table 3
By accuracy test, error<10%, required precision, therefore output Productivity Formulae are met, as supporting with block A
Productivity Formulae.
Step 4：Arrange parameter constant interval, carries out sensitivity analysis, completes the drafting of AOF calculation plate；
It is interval that each Parameters variation is set, sensitivity analysis is carried out to Productivity Formulae.Table 4 for set parameter variation range and
Liquid output changes table.
The sensitivity analysis table of table 4
| Oil deposit parameter | Parameter | Minimum value | Maximum | Amplitude of variation | Sequence |
| Permeability | Value | 10 | 20 | 4 | |
| Liquid output | 6.14 | 6.41 | 0.26 | ||
| Formation thickness | Value | 10 | 15 | 3 | |
| Liquid output | 6.14 | 6.56 | 0.41 | ||
| Producing pressure differential | Value | 5 | 10 | 2 | |
| Liquid output | 6.14 | 10.40 | 4.25 | ||
| Free-boundary problem | Value | 0 | 0.05 | 5 | |
| Liquid output | 6.14 | 6.21 | 0.06 | ||
| Fracture half-length | Value | 100 | 150 | 1 | |
| Liquid output | 6.14 | 11.40 | 5.25 |
According to sensitivity experiments, two Dominated Factors that fracture half-length and producing pressure differential are the flooding unit production capacity are determined.
The average value of non-Dominated Factors is counted, as shown in table 5, Dominated Factors excursion is set and is respectively：Producing pressure differential is set to 5-
20MPa, fracture half-length is set to (10m 50m 100m 150m 200m).
The flooding unit mean parameter of table 5
Based on matlab or excel, the AOF calculation plate of the block is drawn, as shown in Figure 4
Step 5：Water injection well balance injectivity index is calculated, different injection-production ratios are set, complete painting for water injection pressure plate
System；
Injectivity index is tried to achieve for 40m according to actual production data3/ (dgMPa), well starts pressure pcIt is 22MPa.Set
Different injection-to-producing well ratios, calculates the balance injectivity index under different injection-to-producing well ratios (C), as shown in table 6：
Table 6 balances injectivity index table
| Injection-to-producing well ratio | 1:1 | 1:2 | 1:3 |
| Balance injectivity index m3/(dgMPa) | 0.82 | 1.64 | 2.46 |
Water injection indication curve is drawn according to water injection well water injection rate computing formula, the injection feature under different injection mode is drawn
Curve, as shown in Figure 5.
Water injection indication curve and AOF calculation plate are overlapped, note is formed and is adopted integrated plate, formed note and adopt integrated figure
Version, as shown in Figure 6.
Claims (6)
1. it is a kind of consider non-Darcy flow oil reservoir injectivity and productivity plate method for drafting, it is characterised in that comprise the following steps：
Step one：Target block rock core is extracted, test starting barometric gradient obtains feature expression；
Step 2：Oil reservoir basic data is collected, free-boundary problem is calculated；
Step 3：Amendment low-permeability oil deposit vertical well fracture productivity model, regression training obtains the modifying factor of Productivity Formulae；
Step 4：Arrange parameter constant interval, carries out sensitivity analysis, completes the drafting of AOF calculation plate；
Step 5：Water injection well balance injectivity index is calculated, different injection-production ratios are set, complete the drafting of water injection pressure plate.
2. the oil reservoir injectivity and productivity plate method for drafting of non-Darcy flow is considered as claimed in claim 1, it is characterised in that step
Rapid one specific method is as follows：
(1) oil reservoir target block, is selected, target block rock core is extracted, after measurement permeability, rock core is soaked；
(2), combine and free-boundary problem experimental apparatus for testing is installed；
(3), slow to fluid is injected in saturated core using high pressure displacement pump, gas column moves feelings in observation port of export capillary
Condition, it is determined that minimum start pressure limit；
(4), when in capillary gas column no longer move and when precision instrument reading is constant, recording apparatus pressure value Pg, ask for rock core most
Small free-boundary problem；
(5) experimental data after treatment, is made by scatter diagram using computer, and carries out simply data fitting, opened
The feature expression of dynamic pressure gradient.
3. as described in claim 1-2 consideration non-Darcy flow oil reservoir injectivity and productivity plate method for drafting, it is characterised in that
The specific method of step 2 is as follows：
(1) creation data, reservoir properties, the fluid properties parameter of target block, are collected；
(2), the feature expression obtained using free-boundary problem test experiments, calculates free-boundary problem.
4. as described in claim 1-3 consideration non-Darcy flow oil reservoir injectivity and productivity plate method for drafting, it is characterised in that
The specific method of step 3 is as follows：
(1), by adding factor of influence β 1, β 2, β 3, β 4, β 5, low-permeability oil deposit vertical well fracture Productivity Formulae is modified；
(2), by oil reservoir basic data substitution amendment Productivity Formulae, object function equation group is built；
(3) regression training, is carried out to equation group using optimization alternative manner, Productivity Formulae modifying factor is asked for；
(4), the accuracy of the deliverability calculation that test is returned, if not meeting required precision, proceeds to return next time
Training, until reaching required precision.
5. as described in claim 1-4 consideration non-Darcy flow oil reservoir injectivity and productivity plate method for drafting, it is characterised in that
The specific method of step 4 is as follows：
(1), arrange parameter constant interval, sensitivity analysis is carried out to Productivity Formulae, it is determined that the Dominated Factors of influence block production capacity；
(2) average value of non-Dominated Factors, is counted, the constant interval of Dominated Factors is set；
(3) AOF calculation plate, is drawn.
6. as described in claim 1-5 consideration non-Darcy flow oil reservoir injectivity and productivity plate method for drafting, it is characterised in that
The specific method of step 5 is as follows：
(1) the balance injectivity index and water filling for, calculating water injection well start pressure；
(2), different injection-to-producing well ratios are set, the injection indicatrix under different injection mode is drawn；
(3), water injection indication curve and AOF calculation plate are overlapped, note is formed and is adopted integrated plate.
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| CN108681793A (en) * | 2018-05-18 | 2018-10-19 | 中国石油天然气集团有限公司 | Deep Reservoirs productivity index prediction technique and device |
| CN108681793B (en) * | 2018-05-18 | 2022-02-01 | 中国石油天然气集团有限公司 | Deep reservoir oil extraction index prediction method and device |
| CN109339774A (en) * | 2018-10-18 | 2019-02-15 | 中国石油化工股份有限公司 | Low permeability deformation non linear fluid flow through porous medium method for numerical simulation based on boundary layer |
| CN109339774B (en) * | 2018-10-18 | 2021-09-28 | 中国石油化工股份有限公司 | Boundary layer-based nonlinear seepage numerical simulation method for low-permeability deformation medium |
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| CN111810137B (en) * | 2020-07-16 | 2023-03-03 | 中国石油大学(华东) | Drawing method of granite buried hill reservoir development rule chart |
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| CN112814653A (en) * | 2021-02-05 | 2021-05-18 | 西南石油大学 | Fracture-cavity type oil reservoir structure judgment method |
| CN112761602A (en) * | 2021-02-05 | 2021-05-07 | 西南石油大学 | Far well reserve potential excavating method for fracture-cavity oil reservoir |
| CN114510847A (en) * | 2022-04-19 | 2022-05-17 | 成都理工大学 | Low-permeability reservoir contaminated well productivity calculation method, electronic device and storage medium |
| CN114510847B (en) * | 2022-04-19 | 2022-06-21 | 成都理工大学 | Low-permeability reservoir contaminated well productivity calculation method, electronic device and storage medium |
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