CN109033541A - Shale gas reservoir heterogeneity evaluation method after a kind of pressure based on EUR - Google Patents
Shale gas reservoir heterogeneity evaluation method after a kind of pressure based on EUR Download PDFInfo
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Abstract
The invention proposes shale gas reservoir heterogeneity evaluation methods after a kind of pressure based on EUR (ultimate recoverable reserves).This method comprises: obtaining individual well EUR；The EUR accumulation contribution percentage and well number accumulation contribution percentage for calculating every implication well, draw EUR Lorentz curve；Coefficient of heterogeneity is calculated by the individual well EUR Lorentz curve, establishes shale gas reservoir heterogeneity evaluation standard, quantitative assessment shale gas reservoir non-homogeneous degree.EUR dynamic parameter combination Lorentz curve is utilized in the evaluation method, it can overcome since being pumped into for a large amount of proppants of shale gas reservoir changes the influence of reservoir properties spatial distribution bring after pressure, it can be good at solving the problems, such as static parameter shale gas reservoir heterogeneity inaccuracy after evaluation pressure, the precision of shale gas reservoir heterogeneity evaluation result after pressing is improved, filed application is suitble to.
Description
Technical field
The present invention relates to shale gas exploitation technical fields, more specifically, are related to shale gas reservoir after a kind of pressure based on EUR
Heterogeneity evaluation method.
Background technique
Gas reservoir heterogeneity refers to reservoir lithology, physical property or oil-gas possibility etc. in three-dimensional spatial distribution and its difference of variation
Property, it is divided into macroscopic heterogeneity and microheterogeneity, and macroscopic heterogeneity includes heterogeneous in interlayer, plane and layer
Property.Gas reservoir heterogeneity is to influence underground fluid migration and one of principal element of the rate of oil and gas recovery, for strong heterogeneous reservoir,
The probability for boring chance inefficient well is often relatively high, increases the difficulty of exploration and development decision.The non-equal of gas reservoir is accurately recognized as a result,
Matter feature is conducive to exploration and development deployment, reduces development risk, improves development benefit.
The evaluation of conventional oil gas reservoir heterogeneity mainly based on the heterogeneity evaluation of reservoir, generally uses the change of permeability
Different coefficient, coefficient and the permeability grade etc. of advancing by leaps and bounds static parameters describing reservoir Heterogeneous Characteristics, above-mentioned parameter value is bigger, then gas reservoir
Heterogeneity is stronger.Due to using horizontal well multistage pressure break, a large amount of proppants are pumped into stratum and form man-made fracture net shale gas reservoir
Network changes the original physical property distribution of shale gas reservoir, so that shale gas reservoir has the feature of artificial gas reservoir, the evaluation of Static State Index
It may be only available for original shale gas reservoir, can not reflect the artificial gas reservoir evaluation formed after shale pressure.Therefore, it is based on conventional reservoir
Static parameter (permeability) heterogeneity evaluation method be not suitable for shale gas reservoir.
In recent years, domestic and foreign scholars had carried out positive exploration in shale gas reservoir heterogeneity evaluation method.It is some new
Static parameter, such as stress, crack, organic carbon content and rock brittleness static parameter be used to research shale gas reservoir it is heterogeneous
Property.In addition, some scholars propose to use gas reservoir protection parameter evaluation gas reservoir heterogeneity, as initial stage peak value yield, stage produce gas
Measure (peak monthly output or first year gas production) etc..But currently used gas well initial production and stage cumulative production are by production item
Part is affected.So regardless of being static parameter or current used dynamic parameter in grading shale gas reservoir heterogeneity
When all there is certain discomfort, be badly in need of being formed a kind of method of shale gas reservoir non-homogeneous degree after evaluation pressure.
Summary of the invention
It is an object of the invention to overcome the shortcomings of above-mentioned existing shale gas reservoir heterogeneity evaluation method, a kind of base is provided
The shale gas reservoir heterogeneity evaluation method after the pressure of EUR (Estimated Ultimate Recovery).
The present invention is to be achieved through the following technical solutions: shale gas reservoir heterogeneity evaluation side after a kind of pressure based on EUR
Method, comprising the following steps:
(1) shale gas reservoir individual well EUR is obtained by analytic approach of successively decreasing；
Foundation is successively decreased yield and cumulative production expression formula in analysis model:
The q/G in log-log coordinatep~t is in a linear relationship, and mapping to be fitted using creation data determines parameter a and m；
Initial production q is determined by whole creation dataiIf:
Consider bottom-hole storage, Relationship with Yield can indicate are as follows:
Q=qiT (a, m)+q∞
The relationship that q~t (a, m) is made in rectangular coordinate system determines initial production qiWith additional product value q∞；
It determines abandonment rate and corresponding time, passes through corresponding time prediction ultimate recoverable reserves:
Wherein: qiFor initial production, 104m3/d；GpFor cumulative production, 104m3；Q is yield, 104m3/d；When t is production
Between, d；D is lapse rate, zero dimension；A, m is parameter related with lapse rate, zero dimension；q∞For the additional production for considering bottom-hole storage
Amount, 104m3/d。
(2) every implication well EUR contribution margin cumulative percentage and well number contribution margin cumulative percentage are calculated, individual well EUR is drawn
Lorentz curve；
1. be ranked up by individual well EUR value increasing sequence, and to gas well since 1 number consecutively, according to well number be incremented by
Sequentially, every implication well EUR contribution margin cumulative percentage is calculated；
2. calculating well number contribution margin cumulative percentage according to the sequence of well number increasing；
3. being respectively vertical by abscissa, well number contribution margin cumulative percentage of every implication well EUR contribution margin cumulative percentage
Coordinate draws individual well EUR Lorentz curve.
The calculating of every implication well EUR contribution margin cumulative percentage and the well number contribution margin cumulative percentage is pressed
Formula:
Wherein: i is gas well number；N is total well number；EURiFor the corresponding EUR value of i-th mouthful of well, 104m3；LiFor i-th mouthful of well
EUR is to overall contribution percentage, %；LjIt is jth mouth well EUR to overall contribution percentage, %；XiIt is tired for 1~i well EUR contribution margin
Product percentage, %；YiFor the well number contribution margin cumulative percentage of 1~i well, %.
(3) coefficient of heterogeneity is calculated by the individual well EUR Lorentz curve, establishes shale gas reservoir heterogeneity evaluation mark
Standard, quantitative assessment shale gas reservoir non-homogeneous degree.
The coefficient of heterogeneity is Gini coefficient model in former Lorentz curve, and coefficient of heterogeneity is to pass through curve matching
Integration method calculates.
The calculation formula of the coefficient of heterogeneity are as follows:
K=S1/(S1+S2)
Wherein: K is coefficient of heterogeneity, and K indicates that practical gas reservoir EUR Lorentz curve deviates the face of ideal gas reservoir EUR curve
The long-pending ratio with ideal gas reservoir EUR area under the curve；S1The area surrounded by EUR Lorentz curve and 45 ° of angled straight lines indicates
Practical gas reservoir EUR Lorentz curve deviates the degree of ideal gas reservoir EUR curve；S2For EUR Lorentz curve and axis of ordinates and
The area that upper reference axis surrounds.
K=0 indicates that gas reservoir is perfectly homogenous, K=1, indicates the extremely heterogeneous feature of gas reservoir tool, and general shale gas reservoir is non-
Matter coefficient is between 0~1.
The curve matching integration method uses ExpAssoc equation, the ExpAssoc equation expression formula are as follows:
By carrying out curve fitting to obtain fit parameter values to the individual well EUR Lorentz curve, substitutes into integral formula and ask
Area is obtained, the area value is substituted into the calculation formula of the coefficient of heterogeneity, and then the coefficient of heterogeneity is calculated.
The integral formula are as follows:
Wherein: y is well number contribution margin cumulative percentage, %；X is EUR contribution margin cumulative percentage, %；y0,A1、t1、A2、
t2For the fitting parameter in equation；Y0 is offset, %；A1、A2For amplitude, zero dimension；t1、t2For width, zero dimension.
It is described when establishing shale gas reservoir heterogeneity evaluation standard, with reference to tight gas reservoir heterogeneity evaluation standard, using described
Coefficient of heterogeneity, quantitative assessment shale gas reservoir non-homogeneous degree.
The beneficial effects of the present invention are: providing a kind of method of shale gas reservoir heterogeneity after quantitative assessment pressure, this method
Shale gas reservoir is solved due to pressing crack construction, a large amount of proppants are pumped into the spatial distribution for changing reservoir properties, existing parameter
It is unable to accurate evaluation shale gas reservoir heterogeneity, causes shale gas producing region inefficient well ratio big, the problem of development benefit difference.
Detailed description of the invention
Fig. 1 is shale gas reservoir heterogeneity evaluation method flow diagram after the pressure based on EUR；
Fig. 2 is certain 4509 implication well EUR distribution curve of shale gas producing region that present example provides；
Fig. 3 is the individual well EUR Lorentz curve drawn out through the invention.
Specific embodiment
Below with reference to embodiment, invention is further described in detail, but embodiments of the present invention are not limited only to this.
Fig. 1 shows the process of shale gas reservoir heterogeneity evaluation method after the pressure according to the present invention based on EUR.
As shown in Figure 1, shale gas reservoir heterogeneity evaluation method after a kind of pressure based on EUR provided by the invention, including
Following steps:
Step S1: shale gas reservoir individual well EUR is obtained；
Step S2: calculating every implication well EUR contribution margin cumulative percentage and well number contribution margin cumulative percentage, draws individual well
EUR Lorentz curve；
Step S3: coefficient of heterogeneity is calculated by the individual well EUR Lorentz curve, establishes shale gas reservoir heterogeneity evaluation
Standard, quantitative assessment shale gas reservoir non-homogeneous degree.
In order to make it easy to understand, the present invention is illustrated with a specific example.
By taking certain western basin shale gas reservoir of China as an example, using successively decreasing, analytic approach obtains 4509 implication of shale gas reservoir producing region
Individual well EUR.
Fig. 2 is 4509 mouthfuls of shale gas reservoir producing region Single Gas Well EUR distribution curve using analytic approach acquisition of successively decreasing.
The every implication well EUR contribution margin cumulative percentage of the shale gas reservoir and well number contribution margin cumulative percentage are calculated, is drawn
Individual well EUR Lorentz curve.
According to well number incremental order, every implication well EUR contribution margin cumulative percentage is calculated:
In formula: i is gas well number；N is total well number；EURiFor the corresponding EUR value of i-th mouthful of well, 104m3；LiFor i-th mouthful of well
EUR is to overall contribution percentage, %；LjIt is jth mouth well EUR to overall contribution percentage, %；
XiFor 1~i well EUR contribution margin cumulative percentage, %.
According to the sequence of well number increasing, well number contribution margin cumulative percentage is calculated:
In formula: YiFor the well number contribution margin cumulative percentage of 1~i well, %.
Respectively with every implication well EUR contribution margin cumulative percentage XiFor abscissa, well number contribution margin cumulative percentage YiIt is vertical
Coordinate draws EUR Lorentz curve, and Fig. 3 is block individual well EUR Lorentz curve.
Coefficient of heterogeneity is calculated by calculating the shale gas reservoir individual well EUR Lorentz curve, it is heterogeneous to establish shale gas reservoir
Evaluation criterion, the quantitative assessment shale gas reservoir non-homogeneous degree.
The coefficient of heterogeneity is Gini coefficient model in former Lorentz curve, and coefficient of heterogeneity is to pass through curve matching
Integration method calculates.
The calculation formula of coefficient of heterogeneity are as follows: K=S1/(S1+S2)。
The curve matching integration method uses ExpAssoc equation, the ExpAssoc equation expression formula are as follows:
By carrying out curve fitting to obtain fitting parameter y to the individual well EUR Lorentz curve0=2.49, A1=
111.92、t1=71.85, A2=13.18, t2=2.62, it substitutes into integral formula and acquires area S1=0.1433 and S2=0.3567
The integral formula are as follows:
Wherein: y is well number contribution margin cumulative percentage, %；X is EUR contribution margin cumulative percentage, %；y0、A1、t1、A2、
t2For the fitting parameter in equation；y0For offset, %；A1、A2For amplitude, zero dimension；t1、t2For width, zero dimension.
The area value S1=0.1433 and S2=0.3567 is substituted into the calculation formula of the coefficient of heterogeneity, Jin Erji
Calculate coefficient of heterogeneity K=0.287.
It is described when establishing shale gas reservoir heterogeneity evaluation standard, with reference to tight gas reservoir heterogeneity evaluation standard, the page of foundation
Rock gas reservoir heterogeneity evaluation standard is as shown in table 1, and using the coefficient of heterogeneity K=0.287, available block integrally has weak
Heterogeneous Characteristics.
1 shale gas reservoir EUR heterogeneity evaluation criterion of table
The above, be only presently preferred embodiments of the present invention not to the present invention to limitation in any form, it is all according to
According to any simple modification, equivalent variations made by technology of the invention, the substantial above embodiments of method, each fall within of the invention
Within protection scope.
Claims (10)
1. shale gas reservoir heterogeneity evaluation method after a kind of pressure based on EUR, which comprises the following steps:
Step S1: shale gas reservoir individual well EUR is obtained；
Step S2: calculating every implication well EUR contribution margin cumulative percentage and well number contribution margin cumulative percentage, draws individual well EUR
Lorentz curve；
Step S3: coefficient of heterogeneity is calculated by the individual well EUR Lorentz curve, establishes shale gas reservoir heterogeneity evaluation mark
Standard, quantitative assessment shale gas reservoir non-homogeneous degree.
2. shale gas reservoir heterogeneity evaluation method after the pressure according to claim 1 based on EUR, it is characterised in that: institute
Stating shale gas reservoir individual well EUR is by successively decreasing what analysis method was calculated.
3. shale gas reservoir heterogeneity evaluation method after the pressure according to claim 2 based on EUR, it is characterised in that: institute
Analysis method of successively decreasing is stated to mainly comprise the steps that
1. establishing yield and cumulative production expression formula in analysis model of successively decreasing:
2. the q/G in log-log coordinatep~t is in a linear relationship, and mapping to be fitted using creation data determines parameter a and m；
3. determining initial production q by entirety creation dataiIf:
Consider bottom-hole storage, Relationship with Yield can indicate are as follows:
Q=qiT (a, m)+q∞
The relationship that q~t (a, m) is made in rectangular coordinate system determines initial production qiWith additional product value q∞；
4. determining abandonment rate and corresponding time, pass through corresponding time prediction ultimate recoverable reserves:
Wherein: qiFor initial production, 104m3/d；GpFor cumulative production, 104m3；Q is yield, 104m3/d；T is production time, d；D
For lapse rate, zero dimension；A, m is parameter related with lapse rate, zero dimension；q∞For consider bottom-hole storage additional product,
104m3。
4. shale gas reservoir heterogeneity evaluation method after the pressure according to claim 3 based on EUR, it is characterised in that: institute
The method for drafting for stating individual well EUR Lorentz curve described in step S2 includes:
1. be ranked up by individual well EUR value increasing sequence, and to gas well since 1 number consecutively, according to well number incremental order,
Calculate every implication well EUR contribution margin cumulative percentage；
2. calculating well number contribution margin cumulative percentage according to the sequence of well number increasing；
3. being respectively ordinate by abscissa, well number contribution margin cumulative percentage of every implication well EUR contribution margin cumulative percentage
Draw individual well EUR Lorentz curve.
5. shale gas reservoir heterogeneity evaluation method after the pressure based on EUR described in any one according to claim 1~4,
Be characterized in that: the calculating of every implication well EUR contribution margin cumulative percentage and the well number contribution margin cumulative percentage is pressed
Formula:
Wherein: i is gas well number；N is total well number；EUhiFor the corresponding EUR value of i-th mouthful of well, 104m3；LiIt is i-th mouthful EUR pairs of well
Overall contribution percentage, %；LjIt is jth mouth well EUR to overall contribution percentage, %；XiFor 1~i well EUR contribution margin accumulation hundred
Score, %；YiFor the well number contribution margin cumulative percentage of 1~i well, %.
6. shale gas reservoir heterogeneity evaluation method after the pressure according to claim 5 based on EUR, it is characterised in that: institute
State the calculation formula of coefficient of heterogeneity described in step S3 are as follows:
K=S1/(S1+S2)
Wherein: K is coefficient of heterogeneity, K indicate practical gas reservoir EUR Lorentz curve deviate ideal gas reservoir EUR curve area and
The ratio of ideal gas reservoir EUR area under the curve；S1The area surrounded by EUR Lorentz curve and 45 ° of angled straight lines indicates practical
Gas reservoir EUR Lorentz curve deviates the degree of ideal gas reservoir EUR curve；S2For EUR Lorentz curve and axis of ordinates and upper seat
The area that parameter surrounds.
7. shale gas reservoir heterogeneity evaluation method after the pressure according to claim 6 based on EUR, it is characterised in that: institute
The coefficient of heterogeneity stated is Gini coefficient model in former Lorentz curve, and coefficient of heterogeneity is counted by curve matching integration method
It calculates.
8. shale gas reservoir heterogeneity evaluation method after the pressure according to claim 7 based on EUR, it is characterised in that:
The curve matching integration method uses ExpAssoc equation, by carrying out curve fitting to the individual well EUR Lorentz curve
To fit parameter values, substitutes into integral formula and acquire area, the area value is substituted into the calculation formula of the coefficient of heterogeneity, into
And the coefficient of heterogeneity is calculated.
9. shale gas reservoir heterogeneity evaluation method after the pressure according to claim 8 based on EUR, it is characterised in that:
The ExpAssoc equation expression formula are as follows:
The integral formula are as follows:
Wherein: y is well number contribution margin cumulative percentage, %；X is EUR contribution margin cumulative percentage, %；y0、A1、t1、A2、t2For
Fitting parameter in equation；y0For offset, %；A1、A2For amplitude, zero dimension；t1、t2For width, zero dimension.
10. shale gas reservoir heterogeneity evaluation method after the pressure according to claim 1 based on EUR, it is characterised in that:
It is described when establishing shale gas reservoir heterogeneity evaluation standard, with reference to tight gas reservoir heterogeneity evaluation standard, utilize the heterogeneous system
Number, quantitative assessment shale gas reservoir non-homogeneous degree.
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