CN108444884A - Oil relative permeability curve characterizing method based on Harris models - Google Patents
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- CN108444884A CN108444884A CN201810257741.6A CN201810257741A CN108444884A CN 108444884 A CN108444884 A CN 108444884A CN 201810257741 A CN201810257741 A CN 201810257741A CN 108444884 A CN108444884 A CN 108444884A
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- 230000035699 permeability Effects 0.000 title claims abstract description 95
- 238000000034 method Methods 0.000 title claims abstract description 37
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims abstract description 80
- 238000010276 construction Methods 0.000 claims abstract description 8
- 238000004364 calculation method Methods 0.000 claims abstract description 5
- 238000009738 saturating Methods 0.000 claims description 4
- 238000004519 manufacturing process Methods 0.000 abstract description 4
- 238000009795 derivation Methods 0.000 abstract description 3
- 238000004088 simulation Methods 0.000 abstract description 3
- 238000012512 characterization method Methods 0.000 description 6
- 239000009671 shengli Substances 0.000 description 3
- 239000012466 permeate Substances 0.000 description 2
- 238000011084 recovery Methods 0.000 description 2
- 239000002775 capsule Substances 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000002474 experimental method Methods 0.000 description 1
- 238000013178 mathematical model Methods 0.000 description 1
- ZQPPMHVWECSIRJ-KTKRTIGZSA-N oleic acid group Chemical group C(CCCCCCC\C=C/CCCCCCCC)(=O)O ZQPPMHVWECSIRJ-KTKRTIGZSA-N 0.000 description 1
- 238000005325 percolation Methods 0.000 description 1
- 239000011435 rock Substances 0.000 description 1
- 230000001568 sexual effect Effects 0.000 description 1
- 230000005514 two-phase flow Effects 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume or surface-area of porous materials
- G01N15/08—Investigating permeability, pore-volume, or surface area of porous materials
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Abstract
The present invention provides a kind of oil relative permeability curve characterizing method based on Harris models, including：The typical oil-water relative permeability curve data of block or reservoir characteristics feature can be reflected by choosing；Oil relative permeability and water saturation are standardized, the relationship between oil relative permeability and water saturation after criterion；Function expression based on Harris model constructions oil relative permeability Yu water saturation relation curve；Structure oil relative permeability and the coefficient in the function expression of water saturation relation curve are solved using least square method.This has carried out mathematical character based on the oil relative permeability curve characterizing method of Harris models to oil relative permeability and the non-linear rule of water saturation, derivation for reservoir engineering, water drive oil theory and oil reservoir numerical simulation computing method lays the foundation, to Accurate Prediction reservoir water drive development effectiveness and trend, oil field development production practices are instructed.
Description
Technical field
The present invention relates to oil field development technical field, especially relate to that a kind of oil phase based on Harris models is opposite to be oozed
Saturating rate curve characterizing method.
Background technology
Phase percolation curve is the concentrated expression of oil-water two-phase flow feature in rock gap, is water-oil phase in flow event
The most basic rule followed.Oil relative permeability curve is the capsule information in the prediction of reservoir engineering oil production.Effective table
Oil relative permeability is levied, for optimizing oilfield development program, oil recovery rate is improved, improves Development Response of Oilfield with important
Directive significance.
The method of characterization oil relative permeability mainly uses power function characterizing method at present, the function forms of characterization
Simply, but precision is poor.Especially in low water saturation section, oil relative permeability and water saturation can not be characterized
Between complicated non-linear relation, cause oil field development early stage oil production can not Accurate Prediction, influence oilfield development program
Optimization and ultimate recovery raising.
For accurate characterization oil relative permeability and water saturation non-linear relation, the selection of reasonable mathematical model is just
It is particularly important.We have invented a kind of new oil relative permeability curve characterization sides based on Harris models thus
Method solves the above technical problem.
Invention content
The object of the present invention is to provide a kind of energy accurate characterization oil relative permeability based on Harris model constructions with
The oil relative permeability curve characterizing method of non-linear relation between water saturation.
The purpose of the present invention can be achieved by the following technical measures：The present invention provides a kind of oil based on Harris models
Phase permeability saturation curve characterizing method, being somebody's turn to do the oil relative permeability curve characterizing method based on Harris models includes：Step
Rapid 1, choose the typical oil-water relative permeability curve data that can reflect block or reservoir characteristics feature；Step 2, opposite to oil phase
Permeability and water saturation are standardized, between the oil relative permeability and water saturation after criterion
Relationship；Step 3, the function representation based on Harris model constructions oil relative permeability Yu water saturation relation curve
Formula；And step 4, the function table of structure oil relative permeability and water saturation relation curve is solved using least square method
Up to the coefficient in formula.
The purpose of the present invention can be also achieved by the following technical measures：
In step 2, oil relative permeability and water saturation are standardized, the oil phase phase after standardization
Permeability and water saturation are expressed as：
In formula：
Kro- oil relative permeability, zero dimension；
KromaxOil relative permeability under-irreducible water saturation, zero dimension；
KronOil relative permeability after-standardization, zero dimension；
Sw- water saturation, zero dimension；
Swc- irreducible water saturation, zero dimension；
Sor- residual oil saturation, zero dimension；
SwnWater saturation after-standardization, zero dimension.
In step 2, according to the oil relative permeability K after standardizationronWith water saturation SwnCalculation formula, sentence
Oil relative permeability K after disconnected standardizationronWith water saturation SwnBetween relationship.
In step 2, pass through the oil relative permeability K after standardizationronWith water saturation SwnBetween graphics relationship
Figure is it is found that the curved line relation of reverse-s shape is presented in the two.
In step 3, according to the oil relative permeability K after the standardization of step 2 foundationronWith water saturation SwnIt
Between present " anti-S " shape curved line relation it is found that standardization after oil relative permeability KronContain water saturation with after standardization
Spend SwnIncrease and reduce.
In step 3, water saturation S after standardizationwnLevel off to 1 when, the oil phase after corresponding standardization is opposite
Permeability KronLevel off to 0；Water saturation S after standardizationwnLevel off to 0 when, oil phase after corresponding standardization is opposite to be oozed
Saturating rate KronLevel off to 1.
In step 3, the oil relative permeability and water saturation relationship song based on Harris model constructions of foundation
The function expression of line is：
In formula：
A, b-undetermined coefficient.
In step 4, it converts formula (3) to：
Both sides take natural logrithm, obtain
It is right using least square methodAnd lnSwnCarry out linear fit, you can determine the numerical value of coefficient a, b.
The oil relative permeability curve characterizing method based on Harris models in the present invention is opposite by studying oil phase
It is non-thread with water saturation to construct high-precision oil relative permeability for mathematical relationship between permeability and water saturation
The function expression of sexual intercourse curve.And determine that best method for solving solves each term coefficient in expression formula, to realize
The mathematical character of oil relative permeability curve.The present invention is based on Harris models to carry out oil relative permeability curve
Mathematical character, the derivation for reservoir engineering, water drive oil theory and oil reservoir numerical simulation computing method lays the foundation, to accurate
Oil reservoir prediction water flooding effectiveness and trend instruct oil field development production practices.
Description of the drawings
Fig. 1 is a specific embodiment of the oil relative permeability curve characterizing method based on Harris models of the present invention
Flow chart；
Fig. 2 is ln (1/lnK in the specific embodiment of the present inventionron- 1) and lnSwnGraph of relation.
Fig. 3 is conventional indexes method oleic permeability characterizing method in the specific embodiment of the present invention and is based on Harris moulds
The oil relative permeability curve characterizing method comparison diagram of type.
Specific implementation mode
For enable the present invention above and other objects, features and advantages be clearer and more comprehensible, it is cited below particularly go out preferable implementation
Example, and coordinate institute's accompanying drawings, it is described in detail below.
As shown in FIG. 1, FIG. 1 is the streams of the oil relative permeability curve characterizing method based on Harris models of the present invention
Cheng Tu.
In step 101, the typical oil-water relative permeability curve data that can reflect block or reservoir characteristics feature are chosen.
In one embodiment, the typical oil-water relative permeability curve data (table 1) of Shengli Oil Field block are chosen, this can be accurately reflected
Block oil reservoir water-oil phase integrates seepage flow characteristics.
1 Shengli Oil Field block oil-water relative permeability tables of data of table
| Water saturation Sw | Oil relative permeability Kro | Water phase relative permeability Krw |
| 0.304 | 1.000 | 0.000 |
| 0.517 | 0.479 | 0.032 |
| 0.527 | 0.403 | 0.037 |
| 0.542 | 0.316 | 0.045 |
| 0.561 | 0.236 | 0.056 |
| 0.589 | 0.155 | 0.074 |
| 0.618 | 0.102 | 0.098 |
| 0.655 | 0.061 | 0.134 |
| 0.68 | 0.044 | 0.164 |
| 0.701 | 0.034 | 0.192 |
| 0.725 | 0.024 | 0.231 |
| 0.744 | 0.017 | 0.264 |
| 0.777 | 0.000 | 0.334 |
Flow enters step 102.
In step 102, oil relative permeability and water saturation are standardized, the oil phase phase after standardization
Permeability and water saturation are expressed as：
In formula：
Kro- oil relative permeability, zero dimension；
KromaxOil relative permeability under-irreducible water saturation, zero dimension；
KronOil relative permeability after-standardization, zero dimension；
Sw- water saturation, zero dimension；
Swc- irreducible water saturation, zero dimension；
Sor- residual oil saturation, zero dimension；
SwnWater saturation after-standardization, zero dimension；
As shown in Table 1, irreducible water saturation Swc=0.304, residual oil saturation Sor=1-0.777=0.223, according to
Professional standard, laboratory is generally by the oil relative permeability K under irreducible water saturationromaxIt is normalized to 1.000, therefore basis
Formula (1) and formula (2) can be standardized after oil relative permeability KronWith the water saturation S after standardizationwn(table 2).
Oil relative permeability tables of data after the standardization of 2 Shengli Oil Field block of table
Oil relative permeability K after criterionronWith water saturation SwnBetween tracing pattern.
Flow enters step 103.
Oil relative permeability K after step 103, the standardization established according to step 102ronWith water saturation Swn
Between present " anti-S " shape curved line relation, the oil relative permeability K after standardizationronWith the water saturation after standardization
SwnIncrease and reduce, water saturation S after standardizationwnLevel off to 1 when, oil phase after corresponding standardization is opposite to be oozed
Saturating rate KronLevel off to 0；Water saturation S after standardizationwnLevel off to 0 when, oil phase after corresponding standardization is opposite to permeate
Rate KronLevel off to 1.
On this basis, oil relative permeability and water saturation relationship song based on Harris model constructions are established
The function expression of line：
In formula：
A, b-undetermined coefficient；
Flow enters step 104.
It can be converted into for formula (3) in step 104
Both sides take natural logrithm, obtain
It is right using least square methodAnd lnSwnLinear fit (Fig. 2) is carried out, can be obtained
I.e.：Lna=4.3318, b=5.2491,
Coefficient a=76.0811, b=5.2491 can be obtained.
The final letter for establishing oil relative permeability and water saturation relation curve based on Harris model constructions
Number expression formula：
According to above step, the fitting characterization of the oil relative permeability curve based on Harris models is realized.
And according to traditional oil relative permeability power function characterizing method, oil relative permeability and water saturation relationship
The function expression of curve is：
Kron=(1-Swn)1.7474R2=0.9442 (8)
The oil relative permeability that two methods are calculated and water saturation relation curve and actual experiment results contrast
It can be seen that (Fig. 3), the more traditional oil phase of the oil relative permeability curve characterizing method based on Harris models is opposite to permeate
Rate power function characterizing method can increase substantially oil relative permeability fitting precision, can be reservoir engineering, water drive oil theory with
And the derivation of oil reservoir numerical simulation computing method lays the foundation, and improves the precision of prediction of reservoir water drive development effectiveness and trend, refers to
Oil Guide field Efficient Development.
Claims (8)
1. the oil relative permeability curve characterizing method based on Harris models, which is characterized in that Harris models should be based on
Oil relative permeability curve characterizing method include：
Step 1, the typical oil-water relative permeability curve data of block or reservoir characteristics feature can be reflected by choosing；
Step 2, oil relative permeability and water saturation are standardized, the oil phase after criterion is opposite to be oozed
Relationship between rate and water saturation thoroughly；
Step 3, the function expression based on Harris model constructions oil relative permeability Yu water saturation relation curve；
Step 4, the function representation of structure oil relative permeability and water saturation relation curve is solved using least square method
Coefficient in formula.
2. the oil relative permeability curve characterizing method according to claim 1 based on Harris models, feature exist
In in step 2, being standardized to oil relative permeability and water saturation, the oil phase after standardization is opposite to be oozed
Saturating rate and water saturation are expressed as：
In formula：
Kro- oil relative permeability, zero dimension；
KromaxOil relative permeability under-irreducible water saturation, zero dimension；
KronOil relative permeability after-standardization, zero dimension；
Sw- water saturation, zero dimension；
Swc- irreducible water saturation, zero dimension；
Sor- residual oil saturation, zero dimension；
SwnWater saturation after-standardization, zero dimension.
3. the oil relative permeability curve characterizing method according to claim 2 based on Harris models, feature exist
In in step 2, according to the oil relative permeability K after standardizationronWith water saturation SwnCalculation formula, criterion
Oil relative permeability K after changeronWith water saturation SwnBetween relationship.
4. wanting the oil relative permeability curve characterizing method based on Harris models described in 3 according to right, which is characterized in that
In step 2, pass through the oil relative permeability K after standardizationronWith water saturation SwnBetween graphics relationship figure it is found that
The curved line relation of reverse-s shape is presented in the two.
5. the oil relative permeability curve characterizing method according to claim 4 based on Harris models, feature exist
In, in step 3, the oil relative permeability K after the standardization established according to step 2ronWith water saturation SwnBetween present
The curved line relation of " anti-S " shape is it is found that oil relative permeability K after standardizationronWith the water saturation S after standardizationwn's
Increase and reduces.
6. the oil relative permeability curve characterizing method according to claim 5 based on Harris models, feature exist
In, in step 3, water saturation S after standardizationwnLevel off to 1 when, the oil relative permeability after corresponding standardization
KronLevel off to 0；Water saturation S after standardizationwnLevel off to 0 when, the oil relative permeability after corresponding standardization
KronLevel off to 1.
7. the oil relative permeability curve characterizing method according to claim 6 based on Harris models, feature exist
In, in step 3, the letter of the oil relative permeability and water saturation relation curve based on Harris model constructions of foundation
Counting expression formula is：
In formula：
A, b-undetermined coefficient.
8. the oil relative permeability curve characterizing method according to claim 7 based on Harris models, feature exist
In in step 4, in step 4, converting formula (3) to：
Both sides take natural logrithm, obtain
It is right using least square methodAnd lnSwnCarry out linear fit, you can determine the numerical value of coefficient a, b.
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Cited By (5)
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| CN109060639A (en) * | 2018-10-08 | 2018-12-21 | 中国海洋石油集团有限公司 | A kind of measuring method of long cores permeability saturation curve |
| CN109357986A (en) * | 2018-10-26 | 2019-02-19 | 中国石油化工股份有限公司 | The stifled measuring method for adjusting overall process phase percolation curve of High water cut reservoir long cores |
| CN112081589A (en) * | 2020-10-26 | 2020-12-15 | 西南石油大学 | Method for acquiring relative permeability curve of chemical system by standardizing isoosmotic point variable |
| CN112612997A (en) * | 2020-12-29 | 2021-04-06 | 中国石油大学(华东) | Oil-water relative permeability curve calculation method based on deep learning |
| CN112883530A (en) * | 2019-11-29 | 2021-06-01 | 中国石油天然气股份有限公司 | Theoretical water flooding curve determination method and device |
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