CN111912761A - Method for accurately representing oil-water phase permeability relation curve in ultra-high water-cut period - Google Patents
Method for accurately representing oil-water phase permeability relation curve in ultra-high water-cut period Download PDFInfo
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 title claims abstract description 166
- 230000035699 permeability Effects 0.000 title claims abstract description 92
- 238000000034 method Methods 0.000 title claims abstract description 18
- 238000012512 characterization method Methods 0.000 claims abstract description 35
- 238000002347 injection Methods 0.000 claims abstract description 13
- 239000007924 injection Substances 0.000 claims abstract description 13
- 238000002474 experimental method Methods 0.000 claims abstract description 4
- 239000012071 phase Substances 0.000 claims description 25
- 239000008346 aqueous phase Substances 0.000 claims description 3
- 238000011161 development Methods 0.000 abstract description 5
- 230000009286 beneficial effect Effects 0.000 abstract description 2
- 238000004364 calculation method Methods 0.000 abstract description 2
- 238000009795 derivation Methods 0.000 abstract description 2
- 238000009991 scouring Methods 0.000 description 4
- 238000012937 correction Methods 0.000 description 3
- 230000014509 gene expression Effects 0.000 description 3
- 238000004458 analytical method Methods 0.000 description 2
- 230000007774 longterm Effects 0.000 description 2
- 238000005259 measurement Methods 0.000 description 2
- 238000005452 bending Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000011010 flushing procedure Methods 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
- 238000005406 washing Methods 0.000 description 1
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Abstract
The invention relates to the technical field of oil and gas field development, and particularly discloses an accurate characterization method of an oil-water phase permeability relation curve in an ultra-high water-cut period. The method comprises the following steps: step 1, selecting high water injection multiple oil-water phase permeability experiment data of a target block or an oil reservoir; step 2, drawing a relation curve of the oil-water relative permeability ratio and the water saturation; step 3, fitting a relation curve of the oil-water relative permeability ratio and the water saturation; and 4, determining a relation representation equation of the oil-water relative permeability ratio and the water saturation. The technical scheme of the invention has the following beneficial effects: a characterization equation more suitable for a relation curve between the oil-water relative permeability ratio value and the water saturation in the ultrahigh water cut period is constructed, the uniform characterization of the segmented nonlinear change of the oil-water relative permeability ratio curve in a semilogarithmic coordinate is accurately realized, and a good foundation is laid for the derivation and establishment of the oil reservoir engineering calculation method in the ultrahigh water cut period.
Description
Technical Field
The invention relates to the technical field of oil and gas field development, in particular to an accurate characterization method of an oil-water relative permeability relation curve in an ultra-high water cut period, which is used for solving the problem of unification and accurate fitting of an oil-water relative permeability ratio and a water saturation relation curve under a high water injection scouring multiple.
Background
With the continuous deepening of the water drive development process, more and more middle-high permeability sandstone oil reservoirs enter an ultrahigh water content development stage. After the oil reservoir enters the ultra-high water cut period, the lithology of the oil reservoir is changed after long-term injection water washing, the semilogarithmic relation curve of the oil-water relative permeability ratio and the water saturation is not completely linear any more, and the curve sag phenomenon occurs.
The invention patent of application No. 201210276977.7 discloses a method for determining a complete oil-water relative permeability curve, which adopts different characterization methods for relative permeability curves before and after a turning point according to the piecewise nonlinear characteristics of the oil-water relative permeability curve under high water injection times, thereby obtaining a complete relative permeability curve reflecting the whole water flooding process; the invention patent of application number 201310571567.X discloses a nonlinear relation characterization method of an oil-water phase permeability ratio curve in an extra-high water cut period, which combines a relational expression in an exponential form to construct a mathematical expression of a lower bending section of the oil-water phase permeability ratio curve on the basis of a linear relation between the oil-water phase permeability ratio curve in the extra-high water cut period and water saturation; the invention patent of application No. 201410095426.X discloses a method for predicting water cut rise rate change of a water-drive oilfield, which adopts a power function relation and describes an analytic relation between an oil-water relative permeability ratio and water saturation; the invention patent of application No. 201911311394.1 discloses a core analysis saturation correction method, which obtains oil content measurement saturation and water content measurement saturation after volatile correction by simultaneously establishing a corresponding relationship between a relative permeability ratio of oil and water phases and actual measured water saturation of a core and actual measured oil saturation of the core and a corresponding relationship between the relative permeability of the oil and water phases and correction values of the oil saturation and the water saturation.
At present, research on the form or change characterization of a relative permeability curve under a high water flooding scouring multiple is very few at home and abroad, as mentioned above, part of established characterization relational expressions of an oil-water relative permeability ratio and water saturation are complex in form and low in fitting precision, and the requirement on the characterization precision of the relative permeability curve under the high water flooding scouring multiple is difficult to meet, so that an oil-water phase permeability relational curve characterization method which can accurately characterize multiple sections of nonlinear characteristics, is simple in form and convenient for water flooding characteristic analysis needs to be established, and a water flooding theory under a long-term water flooding scouring condition and a new characteristic of water flooding development in an ultra-high water flooding period are newly known.
Disclosure of Invention
In order to overcome the defects in the prior art, the invention provides an accurate characterization method of an oil-water relative permeability relation curve in an ultrahigh water-cut period, which can accurately realize the whole-process fitting of the oil-water relative permeability ratio and water saturation relation curve of an ultrahigh water-cut reservoir.
In order to achieve the purpose, the invention adopts the following technical scheme: an accurate characterization method of an oil-water phase permeability relationship curve in an ultrahigh water-cut period comprises the following steps:
and 4, determining a relation representation equation of the oil-water relative permeability ratio and the water saturation.
Preferably, in the step 1, the high water injection multiple is greater than 400 times; the oil-water phase permeability experimental data comprise water saturation SwAnd the relative permeability K of the oil phase measured at the water saturationroRelative permeability of the aqueous phase Krw。
Preferably, the step 2 comprises the following steps:
step 201, calculating different SwRelative oil-water permeability ratio
Step 202, plotting the logarithm value of the oil-water relative permeability ratio
With the water saturation SwGraph of the relationship of (c).
Preferably, in the step 3, based on the characterization equation (1), fitting a relation curve between the oil-water relative permeability ratio and the water saturation by using nonlinear fitting software:
in the characterization equation (1), a, b and c are fitting coefficients of the characterization equation and are in the residual oil saturation SorUnder known conditions, let c be 1-Sor。
Preferably, in the step 4, the values a, b and c obtained by fitting in the step 3 are substituted into the characterization equation (1) to determine a characterization equation of the relationship between the oil-water relative permeability ratio and the water saturation;
preferably, in the step 4, the values a, b and c obtained by fitting in the step 3 are substituted into the characterization equation (2) to determine a relationship characterization equation between the oil-water relative permeability ratio and the water saturation:
the technical scheme of the invention has the following beneficial effects: on the basis of a semilogarithmic linear relation between the oil-water relative permeability ratio at the medium-high water cut stage and the water saturation, a characterization equation more suitable for a relation curve between the oil-water relative permeability ratio at the extra-high water cut stage and the water saturation is constructed, the uniform characterization of the sectional nonlinear change of the oil-water relative permeability ratio curve under the semilogarithmic coordinate is accurately realized, the fitting determination coefficient of the relation curve between the oil-water relative permeability ratio and the water saturation reaches over 0.999, and a good foundation can be laid for the derivation and establishment of the oil reservoir engineering calculation method at the extra-high water cut stage.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the principles of the invention and not to limit the invention. In the drawings:
FIG. 1 is a flow chart of a method for accurately characterizing an oil-water phase permeability relationship curve in an ultra-high water-cut period.
FIG. 2 is a graph of the oil-water relative permeability ratio versus water saturation of the first embodiment.
FIG. 3 is a graph of the oil-water relative permeability ratio versus water saturation curve fit of the first example.
Detailed Description
The present invention is further described below in conjunction with the following figures and specific examples so that those skilled in the art may better understand the present invention and practice it, but the examples are not intended to limit the present invention.
As shown in figure 1, the method for accurately characterizing the oil-water phase permeability relationship curve in the ultra-high water-cut period comprises the following steps:
and 4, determining a relation representation equation of the oil-water relative permeability ratio and the water saturation.
Specifically, the method comprises the following steps. Step 1, selecting high water injection multiple oil-water phase permeability experimental data of a target block or an oil reservoir. The high water injection multiple is more than 400 times of the water injection multiple; the oil-water phase permeability experimental data comprise water saturation SwAnd the relative permeability K of the oil phase measured at the water saturationroRelative permeability of the aqueous phase Krw。
In the first embodiment, the oil-water phase permeability curve data of a well with a water injection flushing multiple of 1000 times is selected and shown in table 1.
TABLE 1. data sheet of phase-permeability curve of a well
And 2, drawing a relation curve of the oil-water relative permeability ratio and the water saturation. The method comprises the following specific steps:
step 201, calculating different SwRelative oil-water permeability ratio
Step 202, plotting the logarithm value of the oil-water relative permeability ratio
With the water saturation SwGraph of the relationship of (c).
In the first embodiment, different S' S are calculatedwRelative oil-water permeability ratio
And its logarithm value
See table 2; plotting the logarithm value of the oil-water relative permeability ratio
With the water saturation SwSee fig. 2.
TABLE 2 oil-water relative permeability ratio and log data table for a well
And 3, fitting a relation curve of the oil-water relative permeability ratio and the water saturation. Fitting a relation curve of the oil-water relative permeability ratio and the water saturation by adopting nonlinear fitting software based on the following characterization equation:
wherein: a. b and c are fitting coefficients of a characteristic equation and are used for representing the residual oil saturation SorUnder known conditions, let c be 1-Sor(ii) a The nonlinear fitting software includes, but is not limited to, origin, matlab, 1st Opt software; and (3) fitting a relation curve of the oil-water relative permeability ratio value and the water saturation through a characterization equation (1) to obtain values a, b and c.
In example one, a curve of the oil-water relative permeability ratio versus the water saturation was fitted, see FIG. 3; the fitting coefficient a is 6.121; -5.14256; c is 0.8012, wherein the coefficient of determination R of curve fitting of the oil-water relative permeability value and the water saturation relation is20.99951, the characterization equation is shown to fit well to the water-oil relative permeability versus water saturation curve.
And 4, determining a relation representation equation of the oil-water relative permeability ratio and the water saturation. Substituting the values a, b and c obtained by fitting in the step 3 into a characterization equation (1) or a characterization equation (2):
the relation representation equation of the oil-water relative permeability ratio and the water saturation can be determined, and e represents an exponential function with a natural constant e as a base.
In the first embodiment, the relation characterization equation of the oil-water relative permeability ratio and the water saturation is determined as follows:
the above-mentioned embodiments are merely preferred embodiments for fully illustrating the present invention, and the scope of the present invention is not limited thereto. The equivalent substitution or change made by the technical personnel in the technical field on the basis of the invention is all within the protection scope of the invention. The protection scope of the invention is subject to the claims.
Claims (6)
1. An accurate characterization method of an oil-water phase permeability relationship curve in an ultrahigh water-cut period is characterized by comprising the following steps:
step 1, selecting high water injection multiple oil-water phase permeability experiment data of a target block or an oil reservoir;
step 2, drawing a relation curve of the oil-water relative permeability ratio and the water saturation;
step 3, fitting a relation curve of the oil-water relative permeability ratio and the water saturation;
and 4, determining a relation representation equation of the oil-water relative permeability ratio and the water saturation.
2. The method for accurately characterizing the oil-water phase permeability relationship curve in the ultra-high water-cut stage as claimed in claim 1, wherein in the step 1, the high water injection multiple is more than 400 times; the oil-water phase permeability experimental data comprise water saturation SwAnd the relative permeability K of the oil phase measured at the water saturationroRelative permeability of the aqueous phase Krw。
3. The method for accurately characterizing the oil-water phase permeability relationship curve in the ultra-high water-cut stage according to claim 2, wherein the step 2 comprises the following steps:
step 201, calculating different SwRelative oil-water permeability ratio
Step 202, plotting the logarithm value of the oil-water relative permeability ratio
With the water saturation SwGraph of the relationship of (c).
4. The method for accurately characterizing the oil-water phase permeability relationship curve in the ultra-high water-cut stage as claimed in claim 3, wherein in the step 3, fitting the relationship curve of the oil-water relative permeability ratio and the water saturation by using a nonlinear fitting software based on the characterization equation (1):
in the characterization equation (1), a, b and c are fitting coefficients of the characterization equation and are in the residual oil saturation SorUnder known conditions, let c be 1-Sor。
5. The method for accurately characterizing the oil-water permeability relationship curve in the ultra-high water-cut stage as claimed in claim 4, wherein in the step 4, the values a, b and c obtained by the fitting in the step 3 are substituted into the characterization equation (1) to determine the characterization equation of the relationship between the oil-water relative permeability ratio and the water saturation.
6. The method for accurately characterizing the oil-water permeability relationship curve in the ultra-high water-cut stage as claimed in claim 4, wherein in the step 4, the values a, b and c obtained by fitting in the step 3 are substituted into the characterization equation (2) to determine the characterization equation of the relationship between the oil-water relative permeability ratio and the water saturation;
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112525799A (en) * | 2020-12-14 | 2021-03-19 | 中国石油大学(华东) | Method for determining porous medium permeability change in gas hydrate decomposition process |
| CN114673494A (en) * | 2022-05-06 | 2022-06-28 | 重庆科技学院 | Method for predicting storage layer pore permeability after steam huff and puff |
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Cited By (2)
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| CN114673494A (en) * | 2022-05-06 | 2022-06-28 | 重庆科技学院 | Method for predicting storage layer pore permeability after steam huff and puff |
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