CN106204302A - A kind of method calculating original water saturation and application - Google Patents

A kind of method calculating original water saturation and application Download PDF

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CN106204302A
CN106204302A CN201610522552.8A CN201610522552A CN106204302A CN 106204302 A CN106204302 A CN 106204302A CN 201610522552 A CN201610522552 A CN 201610522552A CN 106204302 A CN106204302 A CN 106204302A
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苏磊
刘洁
吴迪楠
刘茜
赵辉
冯天
葛明曦
户昶昊
宫宇宁
李培武
高飞
宋杨
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China Petroleum and Natural Gas Co Ltd
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Abstract

The invention provides a kind of method calculating original water saturation and application.The method comprises the following steps: measure the core permeability K of crude oil, core porosity φ and rock core irreducible water saturation Swir;Measure interfacial tension σ of described crude oil, angle of wetting θ and mass density ρo;Determine height above sea level degree of depth h of rock core and height above sea level degree of depth h of oil-water interfaces0;According to original water saturation S of rock corewWith described core porosity and the relational expression of permeability, it is calculated original water saturation;In described formula I, g is the on-site acceleration of gravity of rock core of crude oil, ρwFor water density, A is the J function zero dimension replacement pressure of rock core, and B is the J function curve index of rock core.

Description

A kind of method calculating original water saturation and application
Technical field
The invention belongs to field of oil development, relate to a kind of method calculating original water saturation and application.
Background technology
Under initial condition, pore volume aqueous in blowhole in reservoir is referred to as original containing with the ratio of total pore size volume Water saturation, typically with percent or fractional representation.
At present, the determination method of the original water saturation of reservoir mainly has two classes, respectively sealed coring directly to measure, survey Well interpretative method and capillary pressure method etc. calculate indirectly.In China National Petroleum industry standard SY/T5336-2006 the clearest and the most definite Giving current most reliable initial saturation determination techniques is pressurize sealed coring method.But due to pressurize sealed coring technology Expensive, technical costs is high, and difficulty is big, and this technology oil field at home is promoted the use of and is restricted.And indirectly calculate original full The most universal with the application of the method for degree, mainly there are three kinds of methods: 1. empirical statistics method, utilize oil-base mud or sealed coring well The initial data that rock core directly measures, sets up and the relation of conventional physical property, or establishment oil column height and saturation plate etc..The party Method is simple and practical, but depends on sealed coring well data and be only applicable to structural oil pool, practical application system.2. geophysics Logging method, with Archie formula as theoretical basis, sets up the relation with oil reservoir initial data by Electric Log Data, but It is not suitable for the oil-gas reservoir of low-resistivity.3. test reservoir engineering method, utilize the mistake of modern experimental technical modelling oil expelling water Journey analyzes oil reservoir, and conventional has intrusive mercury curve and rel ative permeability curve method, J function method, minimum pore throat radius method, oil column height The methods such as method, producing water ratio and initial saturation equation, but these methods apply in general to structural deposit.
In sum, the data utilizing sealed coring well rock core directly to measure are presently believed to be method the most accurately, but It is on-the-spot sealed coring well limited amount so that the saturation data of actual measurement can only characterize the oil and water zonation of part oil reservoir position and close System, actual application is restricted.J function only has with the oil column height in porosity, permeability, profit character and the oil reservoir of reservoir Close, unrelated with the resistivity of reservoir fluid, but it is relatively complicated to ask for the process of original water saturation by J function method.
Summary of the invention
In view of the shortcoming of above-mentioned prior art, it is an object of the invention to provide a kind of side calculating original water saturation Method, the method can be applicable to the structural oil pool without sealed coring well, and not by on-the-spot sealed coring well number quantitative limitation.
In order to reach aforesaid goal of the invention, the present invention provides a kind of method calculating original water saturation, and it includes Following steps:
Step one: measure the core permeability K of crude oil, core porosity φ and rock core irreducible water saturation Swir
Step 2: measure interfacial tension σ of described crude oil, angle of wetting θ and mass density ρo
Step 3: determine height above sea level degree of depth h of rock core and height above sea level degree of depth h of oil-water interfaces0
Step 4: according to original water saturation S of rock corewWith described core porosity and the relational expression of permeability, calculate Obtain original water saturation;
In described formula I, g is the on-site acceleration of gravity of rock core of crude oil, ρwFor water density, A is the J function of rock core Zero dimension replacement pressure, B is the J function curve index of rock core.
In the above-mentioned methods, it is preferable that in described step one, described crude oil is the above net pay zone of oil-water interfaces and profit The crude oil of intermediate zone.
In the above-mentioned methods, described core permeability K, core porosity φ, rock core irreducible water saturation Swir, interface opens Power σ, angle of wetting θ and mass density ρoMeasuring method can be this area conventional method;Or described core permeability K and Core porosity φ directly quotes the report of rock core Physical Property Analysis, described rock core irreducible water saturation Swir, interfacial tension σ, angle of wetting θ directly quotes fluid analysis report.
In the above-mentioned methods, described height above sea level degree of depth h and height above sea level degree of depth h of oil-water interfaces0This area routine side can be passed through Method determines.
In the above-mentioned methods, it is preferable that in described step 4, described J function zero dimension replacement pressure A and the J of rock core The determination step of function curve index B is:
Measure capillary pressure P of deposition region belonging to rock corec, and to this PcData carry out regression analysis, obtain this crystallizing field The J function zero dimension replacement pressure A and the J function curve index B of rock core of the rock core of territory rock type.
The present invention also provides for the application in oil reservoir is exploited of the method for the original water saturation of above-mentioned calculating.
In above-mentioned application, it is preferable that described oil reservoir includes the oil reservoir without sealed coring well structure.
Beneficial effects of the present invention:
In the oil reservoir of reality exploitation, it is positioned at net pay zone and the water to oil area of more than oil-water interfaces, along with oil column height Increase, original water saturation is gradually reduced, and the initial stage range of decrease is relatively big, and the range of decrease gradually slows down subsequently, and the meter of prior art Calculate result less than normal compared with actual measurement data.The method calculating original water saturation that the present invention provides, can be suitably used for nothing The structural oil pool of sealed coring well;Additionally, the method is relatively complicated for reservoir water saturation calculation procedure, computational accuracy relatively The difficult point such as low, on the basis of existing reservoir parameter (such as porosity, permeability, structure data etc.), the most quick counts exactly Calculating the original water saturation in different oil reservoir region, the result of calculation of this original water saturation, closer to practical situation, makes The water saturation that must determine more conforms to actual rule and the oil and water zonation feature of the original reservoir, improves the original profit of reservoir The description precision of distribution.
Detailed description of the invention
In order to the technical characteristic of the present invention, purpose and beneficial effect are more clearly understood from, the existing skill to the present invention Art scheme carries out described further below, but it is not intended that can the restriction of practical range to the present invention.
Embodiment 1
Present embodiments providing a kind of method calculating original water saturation, it comprises the following steps:
Choosing block of Liaohe oilfield core sample to test, the height above sea level depth intervals of this core sample is-1142.3m To-1152.9m, a length of 10.6m, the on-site gravity acceleration g of this core sample is 9.8m/s2, oil, water quality density are divided Wei 0.98g/m3、1.0g/m3
The first step: experiment indoor measurement, under formation condition, interfacial tension σ of crude oil is 32.3mN/m, and angle of wetting θ is 30 °, therefore, σ cos θ is 28dyne/cm=28mN/m;
Second step: experiment indoor measurement, under formation condition, the core porosity φ of crude oil is 20%, and core permeability K is 500mD, irreducible water saturation SwirIt is 0.03;
3rd step: interfacial tension σ of this Reservoir Crude Oil that measurement is obtained, angle of wetting θ, permeability K, porosity φ, knot Close and measure capillary pressure data P obtainedcPass throughCalculate 8 J functions corresponding under laboratory condition, Pass throughCalculate corresponding under laboratory condition 8Obtain regression analysis data set, as shown in table 1;
Table 1
4th step: the regression analysis data set in table 1 is carried out regression analysis, returns out water saturation logarithm lg (Sw) With the relational expression of J function logarithm lgJ, as follows:
J = 0.02 × ( s w * ) - 1.45
The i.e. J function zero dimension replacement pressure A of the rock core of this deposition region rock type and the J function curve index of rock core B, respectively A=0.02, B=-1.45, correlation coefficient is 0.9941;
5th step: determine that in the middle part of the sampling of described core sample, height above sea level degree of depth h is the height above sea level of-1147.6m and oil-water interfaces Degree of depth h0For-1170m, this sample oil column height in oil reservoir is 22.4m;
6th step: by σ cos θ=28mN/m obtained above, core porosity φ=20% of crude oil, core permeability K =500mD, irreducible water saturation Swir=0.03, the J function zero dimension replacement pressure A=0.02 of rock core and the J function of rock core are bent Linear index B=-1.45, height above sea level degree of depth h of height above sea level degree of depth h=-1147.6m and oil-water interfaces in the middle part of the sampling of core sample0=- 1170m, oil, water quality density po=0.98g/m3、ρw=1.0g/m3Substitute into the computing formula of original water saturation
In calculate, the original water saturation calculating rock core is:
S w = ( ( 1 - 0.98 ) × 9.8 × ( - 1147.6 + 1170 ) 0.02 × 28 × 500 20 ) 1 / ( - 1.45 ) × ( 1 - 0.03 ) + 0.03 = 0.10726 ;
7th step: it is 0.11 that sealed coring measures the original water saturation of this core sample, is computed, embodiment 1 To original water saturation=0.10726 of rock core measure the relative of the original water saturation of this core sample with sealed coring Error is only 2.49%.
As can be seen here, the method calculating original water saturation that the present embodiment provides, its result of calculation is surveyed with laboratory Determine result to be sufficiently close to;The method is relatively simple for reservoir water saturation calculation procedure, computational accuracy is higher, in existing storage On the basis of layer parameter (such as porosity, permeability, structure data etc.), calculate the original of oil reservoir region the most exactly and contained Water saturation, the result of calculation of this original water saturation is close to practical situation.
Comparative example 1
This comparative example provides a kind of experiment reservoir engineering method calculating original water saturation, and it utilizes existing experiment skill The process analysis oil reservoir of art simulated oil expelling water, specifically includes following steps:
Step one: according to Corey ' s equation, establishes water saturation SwAnd the relational expression between capillary pressure,
In this formula (1), SwFor water saturation (%), PeFor threshold pressure (i.e. J100Corresponding capillary pressure), unit For N, PcFor capillary pressure, unit be N, λ be lithology factor, it is relevant with porosity and permeability, dimensionless;
Step 2: according to the J function theory of Leverett, for the hair in same oil reservoir, under J function and this reservoir condition Capillary pressure has identical distribution characteristics,
In this formula (2), J is function, dimensionless, PcFor capillary pressure, unit be N, σ be interfacial tension, unit is mN/ M, θ are angle of wetting, and unit is permeability for degree (°) K, and unit is mD, and φ is porosity (%);
Step 3: set up water saturation S according to formula (1) and formula (2)wAnd the relation between J function:
In this formula (3), J100It is J function when 100% for water saturation;
Step 4: taken the logarithm on formula (3) equal sign both sides, obtains formula (4),
lg(Sw)=λ lgJ+ λ lg (J100) formula (4),
Step 5: according to laboratory capillary pressure curve, each rock sample correspondence hair under laboratory condition can be obtained by formula (2) J function under pipe pressure, and use laboratory conventional method directly to measure each J functional value to should having under capillary pressure Effect water saturation value, the most just can get one group of data, utilizes these group data just can return out water saturation logarithm lg (Sw) with the relational expression of J function logarithm lgJ (each J functional value to should water saturation under capillary pressure data more Many, regression coefficient is the most accurate), its form such as formula (4), and then λ and J can be obtained100.Parameter under reservoir condition is substituted into formula (2) Can try to achieve the J function under reservoir condition, then the relational expression of the water saturation set up by laboratory data and J function, formula (4) the original water saturation of oil reservoir can, be tried to achieve.
Comparative example can be implemented by mode in detail below, such as:
Choosing block of Liaohe oilfield core sample to test, the height above sea level depth intervals of this core sample is-1142.3 To-1152.9m, a length of 10.6m.Under formation condition, σ cos θ is 28mN/m, and oil, water quality density are respectively 0.98g/m3、 1.0g/m3, oil-water interfaces-1170m, porosity is 20%, and permeability is 500mD, and irreducible water saturation is 0.03;
The first step: according to Corey ' s equation, establishes water saturation SwAnd the relational expression between capillary pressure,
Second step: according to the J function theory of Leverett, for the hair in same oil reservoir, under J function and this reservoir condition Capillary pressure has identical distribution characteristics,
Calculate J function under reservoir condition: measure 8 capillary pressure data Pc, and each capillary pressure data PcCorresponding Water saturation S under this capillary pressurew, interfacial tension σ of this Reservoir Crude Oil that measurement is obtained, angle of wetting θ, permeability K, Porosity φ, capillary pressure data P obtained in conjunction with measurementc8 J letters corresponding under laboratory condition are calculated by formula (2) Number, it is thus achieved that regression analysis data set, as shown in table 2:
Table 2
3rd step: set up water saturation S according to formula (1) and formula (2)wAnd the relation between J function:
4th step: taken the logarithm on formula (3) equal sign both sides, obtains formula (4),
lg(Sw)=λ lgJ+ λ lg (J100) formula (4);
5th step: the regression analysis data set in table 2 is carried out regression analysis, returns out water saturation logarithm lg (Sw) With the relational expression of J function logarithm lgJ, as follows:
lg(Sw)=-1.8432lgJ+1.912,
Correlation coefficient is 0.99, i.e. lithology factor λ is-1.8432;
6th step: ask for the J function under reservoir condition:
The oil column height of rock core depths is 22.4m, according to
Pc=(ρwo)gH
Calculate capillary pressure P of this rock core depthsc, wherein, ρwAnd ρoBeing respectively water and the mass density of oil, unit is g/ m3, H is the oil column height of more than oil-water interfaces, and unit is m;
It is calculated capillary pressure P of this rock core depthscFor 4.39N, and substituted into
The J function being calculated this rock core depths is 78.4;
7th step: the J function 78.4 that above-mentioned 5th step is tried to achieve is substituted into formula lg (SwIn)=-1.8432lgJ+1.912, The original water saturation trying to achieve this rock core depths is 0.0263;
8th step: it is 0.11 that sealed coring measures the original water saturation of this core sample, is computed, comparative example 1 Original water saturation=0.0955 of the rock core arrived, measures the relative of the original water saturation of this core sample with sealed coring Error is 76.09%.
In this comparative example, described core permeability K, core porosity φ, rock core irreducible water saturation Swir, interface opens Power σ, angle of wetting θ and mass density ρoQuote and report from rock core Physical Property Analysis.
From embodiment 1 and comparative example 1, with the process analysis that prior art utilizes existing experimental technique simulation oil expelling water Oil reservoir, the experiment reservoir engineering method calculating original water saturation are compared, and the one that the present invention provides calculates original aqueous full With the method for degree, calculation procedure is less, substitutes into data and can obtain result.
Contrast test 1
This contrast test, for same oil reservoir (i.e. embodiment 1 and comparative example 1 block of Liaohe oilfield core sample), uses Embodiment 1 provides method and the experimental oil calculating original water saturation of comparative example 1 offer calculating original water saturation Hide engineering method and calculate the original containing water saturation of the Different Altitude degree of depth, the above net pay zone of oil-water interfaces and water to oil area respectively Spending, and the measurement result of water saturation original with reality compares, comparative result is as shown in table 3:
Table 3
As shown in Table 3, owing to being positioned at net pay zone and the water to oil area of more than oil-water interfaces, along with the increasing of oil column height Adding, original water saturation is gradually reduced, and the range of decrease gradually slows down, each height above sea level degree of depth original containing water saturation measured with reality Degree Sw compares, the process analysis oil reservoir of what comparative example 1 provided utilize existing experimental technique simulation oil expelling water, calculate original aqueous full Less than normal with the result of calculation of the experiment reservoir engineering method of degree, this is because, along with the increase of oil column height, original containing water saturation The initial stage range of decrease of degree causes more greatly.And the result of calculation of the method calculating original water saturation that embodiment 1 provides and reality Border measured value is close.
Choosing in table 3, the height above sea level degree of depth is the oil reservoir of-1050m ,-1060m ,-1070m ,-1140m and-1150m, will implement The method of example 1 original water saturation calculated with the method for comparative example 1 compares with actual measured value respectively, and counts respectively Calculating relative error, its result is as shown in table 4:
Table 4
As known from Table 4, utilize with comparative example 1 existing experimental technique simulation oil expelling water process analysis oil reservoir, calculate original The experiment reservoir engineering method of water saturation is compared, the calculating of the method calculating original water saturation that embodiment 1 provides Result with actual measured value more closely, relative error is less.Illustrating, the method that embodiment 1 provides can be to reservoir original oil Water distribution carries out the description of higher precision.
In sum, the method calculating original water saturation that the present invention provides, can be suitably used for that resistivity is relatively low or nothing The structural oil pool of sealed coring well;Additionally, the method is relatively complicated for reservoir water saturation calculation procedure, computational accuracy relatively The difficult point such as low, on the basis of existing reservoir parameter (such as porosity, permeability, structure data etc.), the most quick counts exactly Calculating the original water saturation in different oil reservoir region, the result of calculation of this original water saturation, closer to practical situation, makes The water saturation that must determine more conforms to actual rule and the oil and water zonation feature of the original reservoir, improves the original profit of reservoir The description precision of distribution.

Claims (5)

1. the method calculating original water saturation, it comprises the following steps:
Step one: measure the core permeability K of crude oil, core porosity φ and rock core irreducible water saturation Swir
Step 2: measure interfacial tension σ of described crude oil, angle of wetting θ and mass density ρo
Step 3: determine height above sea level degree of depth h of rock core and height above sea level degree of depth h of oil-water interfaces0
Step 4: according to original water saturation S of rock corewWith described core porosity and the relational expression of permeability, it is calculated former Beginning water saturation;
In described formula I, g is the on-site acceleration of gravity of rock core of crude oil, ρwFor water density, A be rock core J function without because of Secondary replacement pressure, B is the J function curve index of rock core.
Method the most according to claim 1, it is characterised in that: in described step one, described crude oil be oil-water interfaces with Upper net pay zone and the crude oil of water to oil area.
Method the most according to claim 1, it is characterised in that: in described step 4, described J function zero dimension row drives pressure The determination step of the J function curve index B of power A and rock core is:
Measure capillary pressure P of deposition region belonging to rock corec, and to this PcData carry out regression analysis, obtain this deposition region rock The J function zero dimension replacement pressure A and the J function curve index B of rock core of the rock core of stone type.
4. described in any one of claim 1-3, calculate the application in oil reservoir is exploited of the method for original water saturation.
Application the most according to claim 4, it is characterised in that: described oil reservoir includes the oil reservoir without sealed coring well structure.
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CN107064176A (en) * 2017-03-13 2017-08-18 中国石油大学(北京) Rock core water containing saturability measuring system
CN107701180A (en) * 2017-09-19 2018-02-16 中国石油天然气集团公司 A kind of the original reservoir water saturation computational methods based on sealing core drilling
CN110056346A (en) * 2019-04-17 2019-07-26 中国石油大港油田勘探开发研究院 A kind of three-dimensional original water saturation analogy method of the oil reservoir based on Long-term change trend function
CN110287545A (en) * 2019-06-03 2019-09-27 中国石油天然气股份有限公司 A kind of method and system of the calculating oil reservoir inside original water saturation of any part
CN112392464A (en) * 2020-12-11 2021-02-23 中国石油天然气集团有限公司 Method for calculating reservoir water production rate based on conventional logging information

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Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107064176A (en) * 2017-03-13 2017-08-18 中国石油大学(北京) Rock core water containing saturability measuring system
CN107064176B (en) * 2017-03-13 2019-07-19 中国石油大学(北京) Rock core water containing saturability measuring system
CN107701180A (en) * 2017-09-19 2018-02-16 中国石油天然气集团公司 A kind of the original reservoir water saturation computational methods based on sealing core drilling
CN110056346A (en) * 2019-04-17 2019-07-26 中国石油大港油田勘探开发研究院 A kind of three-dimensional original water saturation analogy method of the oil reservoir based on Long-term change trend function
CN110056346B (en) * 2019-04-17 2022-05-17 中国石油天然气股份有限公司 Oil reservoir three-dimensional original water saturation simulation method based on trend change function
CN110287545A (en) * 2019-06-03 2019-09-27 中国石油天然气股份有限公司 A kind of method and system of the calculating oil reservoir inside original water saturation of any part
CN110287545B (en) * 2019-06-03 2023-02-10 中国石油天然气股份有限公司 Method and system for calculating original water saturation of any part in oil reservoir
CN112392464A (en) * 2020-12-11 2021-02-23 中国石油天然气集团有限公司 Method for calculating reservoir water production rate based on conventional logging information

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