CN106897531A - A kind of method for quantitatively evaluating of hyposmosis limestone reservoir permeability - Google Patents

A kind of method for quantitatively evaluating of hyposmosis limestone reservoir permeability Download PDF

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CN106897531A
CN106897531A CN201710127525.5A CN201710127525A CN106897531A CN 106897531 A CN106897531 A CN 106897531A CN 201710127525 A CN201710127525 A CN 201710127525A CN 106897531 A CN106897531 A CN 106897531A
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hyposmosis
limestone
permeability
porosity
formula
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CN106897531B (en
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李雄炎
秦瑞宝
平海涛
刘小梅
魏丹
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Beijing Research Center of CNOOC China Ltd
CNOOC China Ltd
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CNOOC China Ltd
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
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Abstract

The invention provides a kind of method for quantitatively evaluating of hyposmosis limestone reservoir permeability, it includes herein below:1) T2 geometrical mean is obtained by Sandstone Cores sample experiments under the conditions of a small amount of hyposmosis limestone core sample under a certain depth in stratum and similar porosities;2) ratio of hyposmosis limestone core sample and Sandstone Cores sample permeability is calculated;3) porosity of whole stratomere is obtained using logger measurement;4) quantitative evalution model according to hyposmosis limestone reservoir permeability is calculated, and obtains hyposmosis limestone reservoir permeability, completes the quantitative assessment of whole well section hyposmosis limestone reservoir permeability.A kind of method for quantitatively evaluating of hyposmosis limestone reservoir permeability of the inventive method, it is ensured that there is provided a kind of simple and practical method while result is accurate.

Description

A kind of method for quantitatively evaluating of hyposmosis limestone reservoir permeability
Technical field
Oozed the present invention relates to a kind of method for quantitatively evaluating of reservoir permeability, more particularly to a kind of hyposmosis limestone reservoir The method for quantitatively evaluating of saturating rate.
Background technology
Generally, the calculating of reservoir permeability, is mainly based upon high-precision function between porosity and permeability Relation, goes to set up the computing formula of permeability using porosity.So as to the computing formula of reservoir permeability can be expressed as formula:
In formula:K is permeability, mD;It is porosity, decimal.
And high-precision functional relation and do not exist between hyposmosis limestone reservoir, porosity and permeability.Therefore, Go to calculate the permeability of hyposmosis limestone reservoir and infeasible based on formula (1).
In addition, being based on Nuclear Magnetic Resonance Logging, in free fluid model, the computing formula of permeability is:
In formula:K is permeability, mD;It is porosity, decimal;C is empirical, dimensionless;FFI is the hole of free fluid Gap volume, %;BVI is the pore volume of irreducible water, %.
In average transverse relaxation time T2In model, the computing formula of permeability is:
In formula:K is permeability, mD;A is empirical, dimensionless;T2gmIt is T2 T2The geometry of distribution is put down Average, ms;It is porosity, decimal.
Formula (2) and formula (3) porosity index 4 are directed to what sandstone reservoir was obtained, are not particularly suited for hyposmosis lime Rock reservoir.Therefore, using the porosity exponent suitable for hyposmosis limestone reservoir, Cai Nengzhun only in formula (2) or formula (3) Really calculate the permeability of hyposmosis limestone reservoir.
The content of the invention
Regarding to the issue above, hyposmosis limestone reservoir permeability can accurately be calculated it is an object of the invention to provide one kind Method for quantitatively evaluating.
The method for quantitatively evaluating of hyposmosis limestone reservoir permeability provided by the present invention, comprises the steps:
1) by Sandstone Cores sample under the conditions of hyposmosis limestone core sample under a certain depth in stratum and similar porosities Carry out testing the T2 geometrical mean T for respectively obtaining hyposmosis limestone core sample2gmlimeWith similar hole The T2 geometrical mean T of Sandstone Cores sample under the conditions of degree2gmsand
2) ratio of the permeability of Sandstone Cores sample under the conditions of hyposmosis limestone core sample and similar porosities is calculated Value y;
3) the whole stratomere in the oil field is measured, obtains the porosity of whole stratomere
4) the quantitative evalution model formula (8) according to hyposmosis limestone reservoir permeability is calculated, and obtains hyposmosis Limestone reservoir permeability, so as to complete the quantitative assessment of whole well section hyposmosis limestone reservoir permeability;
In formula:KlimeIt is hyposmosis limestone permeability, mD;A is empirical, dimensionless;T2gmlimeIt is hyposmosis lime Rock T2 T2The geometrical mean of distribution, ms;It is porosity, decimal;Y is hyposmosis under the conditions of similar porosities The ratio of limestone and Permeability of Sandstone;T2gmsandFor the T2 of Sandstone Cores sample under the conditions of similar porosities is several What average value, ms.
Above method step 1) in, it is so-called it is similar be that can just be learnt according to the Conventional wisdom of those skilled in the art, Similar porosity is such as taken as in ± 3% number range.
Above method step 1) in, carry out nuclear-magnetism T2 T by hyposmosis limestone core sample2Experiment Analysis, draws the T2 geometrical mean T of hyposmosis limestone core sample2gmlime
Above method step 2) operation be:Based on the core sample of hyposmosis limestone reservoir under a certain depth in stratum, Carry out conventional physical property experiment analysis, draw the permeability K of hyposmosis limestone core samplelime;And with similar porosities condition The permeability K of lower Sandstone Cores samplesandIt is divided by, draws hyposmosis limestone and Permeability of Sandstone under the conditions of similar porosities Ratio y.
Above method step 3) in, the whole stratomere in the oil field is measured using logger obtains whole stratomere Porosity
Above method step 4) in, the quantitative evalution model formula (8) of hyposmosis limestone reservoir permeability is by bag Include the method foundation of following step:
A, the functional relation formula (7) set up between hyposmosis limestone reservoir porosity index and porosity;
B, based on the functional relation formula (7) between hyposmosis limestone reservoir porosity index and porosity, using flat Equal T2 model formation (5), sets up the quantitative evalution model formula (8) of hyposmosis limestone reservoir permeability.
In step a, the foundation of the functional relation formula (7) between hyposmosis limestone reservoir porosity index and porosity Method is as follows:
In sandstone reservoir, based on average transverse relaxation time T2Model, the computing formula of permeability is:
In formula:KsandIt is Permeability of Sandstone, mD;A is empirical, dimensionless;T2gmsandIt is sandstone T2 T2 The geometrical mean of distribution, ms;It is porosity, decimal.
In hyposmosis limestone reservoir, based on average transverse relaxation time T2Model, the computing formula of permeability is:
In formula:KlimeIt is hyposmosis limestone permeability, mD;A is empirical, dimensionless;T2gmlimeIt is hyposmosis lime Rock T2 T2The geometrical mean of distribution, ms;It is porosity, decimal;X is hyposmosis limestone porosity exponent, Dimensionless.
Under the conditions of similar porosities, hyposmosis limestone is y with the ratio of Permeability of Sandstone, sees formula (6):
The computing formula of hyposmosis limestone porosity exponent x can be obtained by formula (6), formula (7) is seen:
So as to obtain the functional relation between hyposmosis limestone reservoir porosity index and porosity.
In step b, the quantitative evalution model formula (8) of hyposmosis limestone reservoir permeability is built by operations described below It is vertical:By the functional relation between hyposmosis limestone reservoir porosity index and porosity, (i.e. hyposmosis limestone porosity refers to Number x) substitutes into average transverse relaxation time model formation (5), obtains final product the quantitative evalution model of hyposmosis limestone reservoir permeability Formula (8).
Due to taking above technical scheme, it has advantages below to the present invention:1st, hyposmosis limestone reservoir of the invention The method for quantitatively evaluating of permeability, by extracting average transverse relaxation time T2The porosity of hyposmosis limestone reservoir in model Index, can more accurately determine the permeability of hyposmosis limestone reservoir;2nd, the inventive method avoids carrying out substantial amounts of rock core Experiment, can be effectively cost-effective, with stronger economy;3rd, the present invention is the meter of hyposmosis limestone reservoir permeability Calculate, there is provided a kind of accuracy rate is high, the effective ways of highly versatile, good economy performance, and the present invention can be widely applied to various low Permeate the quantitative assessment of limestone reservoir permeability.
Brief description of the drawings
Fig. 1 is sandstone and hyposmosis limestone T2 T under the conditions of similar porosities2Distribution map;
Fig. 2 is the porosity and T2 geometrical mean T of sandstone and hyposmosis limestone2gmCross plot;
Fig. 3 is the porosity and the cross plot of permeability of sandstone and hyposmosis limestone;
Fig. 4 is the permeability of sandstone and hyposmosis limestone under the conditions of similar porosities;
Fig. 5 is porosity, porosity exponent and hyposmosis limestone and Permeability of Sandstone ratio under the conditions of similar porosities Between relation;
Fig. 6 is the quantitative assessment result map of A wells part interval hyposmosis limestone reservoir permeability.
Specific embodiment
The present invention is described in detail with reference to the accompanying drawings and examples.
The present invention relates to a kind of method for quantitatively evaluating of hyposmosis limestone reservoir permeability, it is comprised the following steps:
1) core sample based on hyposmosis limestone reservoir under a certain depth in stratum, carries out nuclear-magnetism T2 T2 Experimental analysis, draws the T2 geometrical mean T of hyposmosis limestone core sample2gmlime;And to similar hole The T2 geometrical mean T of Sandstone Cores sample under the conditions of degree2gmsandIt is analyzed (Fig. 1);
2) core sample based on hyposmosis limestone reservoir under a certain depth in stratum, carries out conventional physical property experiment analysis, Draw the permeability K of hyposmosis limestone core samplelime;And with similar porosities under the conditions of Sandstone Cores sample permeability KsandIt is divided by, draws the ratio y of hyposmosis limestone and Permeability of Sandstone under the conditions of similar porosities;
3) the whole stratomere in the oil field is measured using logger, whole stratomere porosity can be obtained
4) in sandstone reservoir, based on average transverse relaxation time T2Model, the computing formula of permeability is:
In formula:KsandIt is Permeability of Sandstone, mD;A is empirical, dimensionless;T2gmsandIt is sandstone T2 T2 The geometrical mean of distribution, ms;It is porosity, decimal.
In hyposmosis limestone reservoir, based on average transverse relaxation time T2Model, the computing formula of permeability is:
In formula:KlimeIt is hyposmosis limestone permeability, mD;A is empirical, dimensionless;T2gmlimeIt is hyposmosis lime Rock T2 T2The geometrical mean of distribution, ms;It is porosity, decimal;X is hyposmosis limestone porosity exponent, Dimensionless.
Under the conditions of similar porosities, hyposmosis limestone is y with the ratio of Permeability of Sandstone, sees formula (6):
The computing formula of hyposmosis limestone porosity exponent x can be obtained by formula (6), formula (7) is seen:
5) simultaneous formula (5) and formula (7) can obtain the computing formula of hyposmosis limestone reservoir permeability, see formula (8):
The inventive method is described further below by specific embodiment.
Embodiment 1:By taking the hyposmosis limestone reservoir of certain oil field A wells as an example.
1) core sample based on hyposmosis limestone reservoir under a certain depth of A wells of the oil field, carries out nuclear-magnetism transverse relaxation Time T2Experimental analysis, draws 12 pieces of T2 geometrical mean T of hyposmosis limestone core sample2gmlimeIt is flat Average is about 210ms (table 1 and Fig. 2);And 45 pieces of transverse relaxations of Sandstone Cores sample under the conditions of other oil field similar porosities Time geometry average value T2gmsandAverage value be about 32ms (table 2 and Fig. 2).
The T2 geometrical mean T of the hyposmosis limestone core sample of table 12gmlime
Sequence number Lithology Porosity (%)
1 Limestone 10.35 104.74
2 Limestone 10.81 72.54
3 Limestone 11.26 233.53
4 Limestone 11.85 386.98
5 Limestone 11.86 180.18
6 Limestone 12.93 365.46
7 Limestone 14.73 96.83
8 Limestone 15.14 272.64
9 Limestone 17.25 333.04
10 Limestone 17.77 165.28
11 Limestone 18.58 214.38
12 Limestone 19.83 96.83
The T2 geometrical mean T of Sandstone Cores sample under the conditions of the similar porosities of table 22gmsand
2) core sample based on hyposmosis limestone reservoir under a certain depth of A wells of the oil field, carries out conventional physical property experiment Analysis, draws the permeability K of hyposmosis limestone core samplelimeAverage value be 4.5mD (Fig. 3 and Fig. 4);Similar porosities Under the conditions of Sandstone Cores sample permeability KsandAverage value be 45mD (Fig. 3 and Fig. 4);Therefore, similar porosities bar is drawn Hyposmosis limestone and the ratio y of Permeability of Sandstone are 0.1 under part.
3) the whole stratomere in the oil field is measured using logger, whole stratomere porosity can be obtained
4) in sandstone reservoir, based on average transverse relaxation time T2Model, the computing formula of permeability is:
In formula:KsandIt is Permeability of Sandstone, mD;A is empirical, dimensionless;T2gmsandIt is sandstone T2 T2 The geometrical mean of distribution, ms;It is porosity, decimal.
In low-permeability limestone reservoir, based on average transverse relaxation time T2Model, the computing formula of permeability is:
In formula:KlimeIt is hyposmosis limestone permeability, mD;A is empirical, dimensionless;T2gmlimeIt is hyposmosis lime Rock T2 T2The geometrical mean of distribution, ms;It is porosity, decimal;X is hyposmosis limestone porosity exponent, Dimensionless.
By step 1) understand A well hyposmosis limestone core samples T2 geometrical mean T2gmlimeIt is flat Average is about 210ms, and under the conditions of similar porosities Sandstone Cores sample T2 geometrical mean T2gmsand's Average value is about 32ms.
By step 2) understand that the ratio y of hyposmosis limestone and Permeability of Sandstone under the conditions of similar porosities is 0.1, formula (5) ratio with formula (4) is shown in formula (6):
The computing formula of hyposmosis limestone porosity exponent x can be obtained by formula (6), formula (7) is seen:
Draw the ratio of hyposmosis limestone and Permeability of Sandstone under the conditions of porosity, porosity exponent x and similar porosities Relation between value y, is shown in Fig. 5.As shown in Figure 5, becoming larger with porosity, porosity exponent x becomes larger;With phase Become larger with the ratio y of Permeability of Sandstone like hyposmosis limestone under the conditions of porosity, porosity exponent x is tapered into.
5) simultaneous formula (5) and formula (7) can obtain the computing formula of oil field A well hyposmosis limestone reservoir permeabilities, See formula (8):
In formula (8), a is the T of 5, A wells in limestone reservoir2gmlimeWithCan be obtained by logger measurement.Therefore, The permeability of the full well section of A wells can be calculated based on formula (8).
6) based on formula (8), the permeability of the A well hyposmosis full well sections of limestone reservoir just can be obtained, Fig. 6 is seen, so as to reach The purpose of quantitative assessment A well hyposmosis limestone reservoir permeabilities.
As shown in fig. 6, in the quantitative assessment result map of A wells part interval hyposmosis limestone reservoir permeability, the 1st road It is natural gamma, calliper log curve, represents the lithologic character on the stratum;2nd road be it is deep, in, shallow resistivity log, carve Draw the electrical property feature on the stratum;3rd road is bulk density, neutron porosity and compressional wave time difference log, reflects the stratum Physical property characteristic;4th road is nuclear magnetic resonance log T2 T2;5th road is the porosity calculated based on above-mentioned log With the porosity of core analysis;6th road is based on Nuclear Magnetic Resonance Logging, using average transverse relaxation time T2What model was calculated Permeability and the permeability of core analysis, the two error are relatively large, and mean absolute error is 20.41mD;7th road is based on core Magnetic logging data, the permeability and the permeability of core analysis calculated using free fluid model, the two error is relatively large, Mean absolute error is 21.75mD;8th road is the permeability and rock core point calculated using formula (8) based on Nuclear Magnetic Resonance Logging The permeability of analysis, the two error is relatively small, and mean absolute error is 0.83mD.
Above-described embodiment is merely to illustrate the present invention, every equivalents carried out on the basis of technical solution of the present invention And improvement, should not exclude outside protection scope of the present invention.

Claims (7)

1. a kind of method for quantitatively evaluating of hyposmosis limestone reservoir permeability, comprises the steps:
1) carried out by Sandstone Cores sample under the conditions of hyposmosis limestone core sample under a certain depth in stratum and similar porosities Experiment respectively obtains the T2 geometrical mean T of hyposmosis limestone core sample2gmlimeWith similar porosities bar The T2 geometrical mean T of Sandstone Cores sample under part2gmsand
2) the ratio y of the permeability of Sandstone Cores sample under the conditions of hyposmosis limestone core sample and similar porosities is calculated;
3) the whole stratomere in the oil field is measured, obtains the porosity of whole stratomere
4) the quantitative evalution model formula (8) according to hyposmosis limestone reservoir permeability is calculated, and obtains hyposmosis lime Rock reservoir permeability, completes the quantitative assessment of whole well section hyposmosis limestone reservoir permeability;
In formula:KlimeIt is hyposmosis limestone permeability, mD;A is empirical, dimensionless;T2gmlimeFor hyposmosis limestone is horizontal To relaxation time T2The geometrical mean of distribution, ms;It is porosity, decimal;Y is hyposmosis lime under the conditions of similar porosities The ratio of rock and Permeability of Sandstone;T2gmsandFor the T2 geometry of Sandstone Cores sample under the conditions of similar porosities is put down Average, ms.
2. method for quantitatively evaluating according to claim 1, it is characterised in that:Step 1) in, by hyposmosis limestone Core sample carries out nuclear-magnetism T2 T2Experimental analysis, draws the T2 of hyposmosis limestone core sample Geometrical mean T2gmlime
3. method for quantitatively evaluating according to claim 1 and 2, it is characterised in that:Step 2) operation be:Based on stratum The core sample of hyposmosis limestone reservoir under one depth, carries out conventional physical property experiment analysis, draws hyposmosis limestone rock core The permeability K of samplelime;And with similar porosities under the conditions of Sandstone Cores sample permeability KsandIt is divided by, draws similar hole The ratio y of hyposmosis limestone and Permeability of Sandstone under the conditions of degree.
4. the method for quantitatively evaluating according to any one of claim 1-3, it is characterised in that:Step 3) in, using well logging Instrument is measured to the whole stratomere in the oil field and obtains whole stratomere porosity
5. the method for quantitatively evaluating according to any one of claim 1-4, it is characterised in that:Step 4) in, hyposmosis stone The quantitative evalution model formula (8) of limestone reservoir permeability is that the method by comprising the steps is set up:
A, the functional relation formula (7) set up between hyposmosis limestone reservoir porosity index and porosity;
B, based on the functional relation formula (7) between hyposmosis limestone reservoir porosity index and porosity, using average horizontal stroke To relaxation time model, the quantitative evalution model formula (8) of hyposmosis limestone reservoir permeability is set up.
6. method for quantitatively evaluating according to claim 5, it is characterised in that:In step a, hyposmosis limestone reservoir pore space The method for building up of the functional relation formula (7) between degree index and porosity is as follows:
In sandstone reservoir, based on average transverse relaxation time T2Model, the computing formula of permeability is:
In formula:KsandIt is Permeability of Sandstone, mD;A is empirical, dimensionless;T2gmsandIt is sandstone T2 T2Distribution Geometrical mean, ms;It is porosity, decimal;
In hyposmosis limestone reservoir, based on average transverse relaxation time T2Model, the computing formula of permeability is:
In formula:KlimeIt is hyposmosis limestone permeability, mD;A is empirical, dimensionless;T2gmlimeIt is horizontal hyposmosis limestone To relaxation time T2The geometrical mean of distribution, ms;It is porosity, decimal;X is hyposmosis limestone porosity exponent, immeasurable Guiding principle;
Under the conditions of similar porosities, hyposmosis limestone is y with the ratio of Permeability of Sandstone, sees formula (6):
The computing formula of hyposmosis limestone porosity exponent x can be obtained by formula (6), formula (7) is seen:
Obtain the functional relation between hyposmosis limestone reservoir porosity index and porosity.
7. the method for quantitatively evaluating according to claim 5 or 6, it is characterised in that:In step b, hyposmosis limestone reservoir The quantitative evalution model formula (8) of permeability is set up by operations described below:By hyposmosis limestone reservoir porosity index Functional relation between porosity substitutes into average transverse relaxation time model formation (5), obtains final product hyposmosis limestone reservoir and oozes The quantitative evalution model formula (8) of saturating rate.
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