CN111364970B - Method for quantizing inter-well communication coefficient - Google Patents

Method for quantizing inter-well communication coefficient Download PDF

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CN111364970B
CN111364970B CN202010237262.5A CN202010237262A CN111364970B CN 111364970 B CN111364970 B CN 111364970B CN 202010237262 A CN202010237262 A CN 202010237262A CN 111364970 B CN111364970 B CN 111364970B
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周建峰
杨旋
王斌
刘凯
李晓芳
朱运周
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Heimer Pandora Data Technology Shenzhen Co ltd
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Abstract

The invention discloses a method for quantizing an inter-well communication coefficient, which comprises the steps of acquiring the water injection amount of a water injection well and the oil production amount and the water production amount of a production well to obtain a basic database; the water communication coefficient and the oil communication coefficient can be quantized quickly and simply by summing the total water injection amount of the basic database, calculating the ratio matrix of the oil yield and the ratio matrix of the aquatic product amount and fitting the relationship between the ratio matrix and the water and oil communication coefficients according to the water injection natural loss coefficient; and the obtained water communication coefficient and oil communication coefficient can be optimized by adopting a coefficient fine adjustment method. The method has the remarkable effects that accurate inter-well oil communication coefficient and water communication coefficient can be obtained according to historical injection and production data, the estimation precision is high, high-reliability prediction can be carried out on the oil yield and the water yield of the oil well, and practical and reliable application can be carried out in actual production.

Description

Method for quantizing inter-well communication coefficient
Technical Field
The invention relates to the analysis of the well-to-well connectivity during the oil well injection and production, in particular to a method for quantizing the well-to-well connectivity coefficient.
Background
Reservoir characterization and production optimization are goals that are constantly pursued by oilfield operators. Injection-production connectivity analysis is an important component of oilfield production optimization, is an effective method for improving ultimate recovery efficiency, and is an important work for saving production cost. The inter-well connectivity analysis has important guiding significance on the formulation and adjustment of the maximum recovery ratio and the water and oil stabilizing and controlling scheme. Connectivity analysis between injection and production wells may be divided into transfersThe method comprises the steps of arranging injection and production layers, perfecting a water injection system, encrypting a well pattern, increasing water injection well points, dividing fine layers, blocking water and adjusting profile and the like. As water is injected into the injection well, the injected water must spread and affect the production capacity of the surrounding production wells. This effect can be measured by the inter-well communication coefficient, which includes the oil communication coefficient (in terms of
Figure BDA0002431408190000011
Expression) and water communication coefficient (for water communication coefficient)
Figure BDA0002431408190000012
Expressed), wherein the oil connectivity coefficient
Figure BDA0002431408190000013
The influence of the injected water in the water injection well on the oil production of the surrounding production wells can be measured; coefficient of water communication
Figure BDA0002431408190000014
The influence of the water injected by the water injection well on the production water of the surrounding production wells can be measured.
Disclosure of Invention
In order to quantize the oil communication coefficient and the water communication coefficient among wells, the proposal provides a method for quantizing the well communication coefficient, which can quantize the oil communication coefficient and the water communication coefficient more simply and rapidly,
the specific scheme is as follows:
an interwell communication coefficient quantification method comprises the following steps:
step one, the following data are collected from the same zero moment:
collecting water injection quantity w of N-port water injection wells at each momenti,tWherein i is 1,2,3, …, N, T is 0,1,2, …, T;
collecting oil production po of M production wells at each momentj,tWherein j is 1,2,3, …, M, T is 0,1,2, …, T;
acquiring the water yield pw of the M production wells at each momentj,tWherein j is 1,2,3, …, M, T is 0,1,2, …, T;
wherein T is the time when the data acquisition is finished;
step two, calculating the total water injection amount W of the N-port water injection well at the t-th time point according to the formula 1 according to the acquired datat：
Equation 1:
Figure BDA0002431408190000021
wherein:
wi,trepresenting the water injection quantity of the acquired ith water injection well at the tth time point;
step three, calculating a ratio matrix Ro capable of eliminating oil yield in the production well according to a formula 2j,t， j＝0,1,2…,M；t＝0,1,2,…,T；
Equation 2:
Figure BDA0002431408190000022
wherein:
poj,trepresenting the oil production of the j production well at the t time point;
step four, calculating a ratio matrix Rw capable of eliminating the water yield in the production well according to the formula 3j,t， j＝0,1,2…,M；t＝0,1,2,…,T；
Equation 3:
Figure BDA0002431408190000023
wherein:
pwj,trepresenting the collected water yield of the jth production well at the tth time point;
calculating a water injection natural loss coefficient alpha according to a formula 4;
equation 4:
Figure BDA0002431408190000024
wherein:
Figure BDA0002431408190000025
Figure BDA0002431408190000026
sixthly, calculating the water communication coefficient between the ith water injection well and the jth production well according to a formula 5
Figure BDA0002431408190000027
And the oil communication coefficient between the ith water injection well and the jth production well
Figure BDA0002431408190000028
And
Figure BDA0002431408190000029
all the value ranges of (1) and (0);
equation 5:
Figure BDA0002431408190000031
wherein:
n represents the number of water injection wells in the well pattern, wherein the distance between the water injection wells and the jth production well is 2;
witime series of water injection amount of the ith water injection well;
poja time series representing oil production from the jth production well;
pwja time series representing water production from the jth production well;
std is a standard deviation calculation formula in the statistical method.
Preferably, the method also comprises a seventh step of calculating and optimizing the oil communication coefficient by adopting a coefficient fine adjustment method
Figure BDA0002431408190000032
And optimizing water communication coefficient
Figure BDA0002431408190000033
Figure BDA0002431408190000034
Figure BDA0002431408190000035
c1Calculated according to equation 6:
equation 6:
Figure BDA0002431408190000036
c2calculated according to equation 7:
equation 7:
Figure BDA0002431408190000037
yjis the time series of oil production from the jth producing well.
Drawings
FIG. 1 is a collected and plotted water injection rate-time curve of a 17-hole water injection well;
FIG. 2 is a graph of oil production versus time for a given 18 production wells collected and plotted;
FIG. 3 is a plot of water production versus time for a given 18 production wells;
FIG. 4 is a graph calculated and labeled with optimized oil connectivity coefficients
Figure BDA0002431408190000041
Well pattern of (2);
FIG. 5 is a graph calculated and labeled with optimized water communication coefficients
Figure BDA0002431408190000042
Well pattern of (2);
FIG. 6 shows the amount of oil produced
Figure BDA0002431408190000043
A yield comparison graph of the predicted total oil yield and the actual oil yield in the same period is obtained by sequence calculation;
FIG. 7 shows the amount of oil produced
Figure BDA0002431408190000044
A yield comparison graph of the predicted total oil yield and the actual oil yield in the same period is obtained by sequence calculation;
FIG. 8 shows the water yield
Figure BDA0002431408190000045
A yield comparison graph of the predicted total water yield and the current actual water yield obtained by sequence calculation;
FIG. 9 shows the amount of oil produced
Figure BDA0002431408190000046
And (4) comparing the predicted total water yield obtained by sequence calculation with the yield of the current actual water yield.
Detailed Description
The present invention will be further described with reference to the following examples and the accompanying drawings.
Example 1:
an interwell communication coefficient quantification method comprises the following steps:
step one, the following data are collected from the same zero moment:
collecting water injection quantity w of N-port water injection wells at each momenti,tWherein i is 1,2,3, …, N, T is 0,1,2, …, T;
collecting oil production po of M production wells at each momentj,tWherein j is 1,2,3, …, M, T is 0,1,2, …, T;
acquiring the water yield pw of the M production wells at each momentj,tWherein j is 1,2,3, …, M, T is 0,1,2, …, T;
wherein T is the time when the data acquisition is finished;
step two, calculating the total water injection amount W of the N-port water injection well at the t-th time point according to the formula 1 according to the acquired datat：
Equation 1:
Figure BDA0002431408190000051
wherein:
wi,trepresenting the water injection quantity of the acquired ith water injection well at the tth time point;
step three, calculating a ratio matrix Ro capable of eliminating oil yield in the production well according to a formula 2j,t， j＝0,1,2…,M；t＝0,1,2,…,T；
Equation 2:
Figure BDA0002431408190000052
wherein:
poj,trepresenting the oil production of the j production well at the t time point;
step four, calculating a ratio matrix Rw capable of eliminating the water yield in the production well according to the formula 3j,t， j＝0,1,2…,M；t＝0,1,2,…,T；
Equation 3:
Figure BDA0002431408190000053
wherein:
pwj,trepresenting the collected water yield of the jth production well at the tth time point;
calculating a water injection natural loss coefficient alpha according to a formula 4;
equation 4:
Figure BDA0002431408190000054
wherein:
Figure BDA0002431408190000055
Figure BDA0002431408190000056
sixthly, calculating the water communication coefficient between the ith water injection well and the jth production well according to a formula 5
Figure BDA0002431408190000057
And the oil communication coefficient between the ith water injection well and the jth production well
Figure BDA0002431408190000058
And
Figure BDA0002431408190000059
all the value ranges of (1) and (0);
equation 5:
Figure BDA0002431408190000061
wherein:
n represents the number of water injection wells in the well pattern, wherein the distance between the water injection wells and the jth production well is 2;
witime series of water injection amount of the ith water injection well;
poja time series representing oil production from the jth production well;
pwja time series representing water production from the jth production well;
std is a standard deviation calculation formula in a statistical method;
step seven, calculating and optimizing the oil communication coefficient by adopting a coefficient fine adjustment method
Figure BDA0002431408190000062
And optimizing water communication coefficient
Figure BDA0002431408190000063
Figure BDA0002431408190000064
Figure BDA0002431408190000065
c1Calculated according to equation 6:
equation 6:
Figure BDA0002431408190000066
c2calculated according to equation 7:
equation 7:
Figure BDA0002431408190000067
yjis the time series of oil production from the jth producing well.
Example 2:
the oil and water communication coefficients of a certain oilfield well pattern (containing 17 water injection wells and 18 production wells) in texas, usa were quantified using the method described in example 1.
The water injection quantity-time curves of 17 (4 th, 5 th, 8 th, 9 th, 14 th, 16 th, 20 th, 21 th, 22 th, 24 th, 26 th, 30 th, 31 th, 33 th, 36 th, 39 th and 41 th) water injection wells are collected and are shown in figure 1;
the oil production-time curves of the 18 (1, 2, 6, 7, 12, 13, 15, 17, 19, 25, 27, 28, 29, 32, 35, 37, 38 and 40) production wells are collected and shown in figure 2, and the water production-time curves are shown in figure 3.
As can be seen from FIG. 1, the historical waterflood data is relatively smooth, except for the large fluctuations in waterflood during the period from 4 months 1997 to 10 months 1997. Figure 2 shows that the original production wells have a strong long term decline trend that is long-lasting with continuous water injection. Figure 3 shows the trend of the water production profile of the original production wells remaining continuously rising for a long period of time with continuous water injection.
The amount of injected water w obtained by the above collectioni,tOil production poj,tWater yield pwj,tData, inter-well oil communication coefficient calculated according to formulas 1,2,3, 4 and 5 in sequence
Figure BDA0002431408190000071
And water communication coefficient between wells
Figure BDA0002431408190000072
In formula 5, n is 2.
Performing coefficient fine adjustment on the oil communication coefficient and the water communication coefficient according to a formula 6 and a formula 7 to obtain an optimized oil communication coefficient and an optimized water communication coefficient; optimizationThe results of the calculations are labeled in FIGS. 4 and 5, where FIG. 4 shows the optimized oil connectivity coefficients between wells
Figure BDA0002431408190000073
FIG. 5 shows the optimized water communication coefficient between wells
Figure BDA0002431408190000074
Example 3:
yield prediction was performed using the connectivity coefficients obtained in example 2 and compared to the collected contemporaneous actual yields.
Predicting the oil production of the jth port according to the following formula
Figure BDA0002431408190000075
Or
Figure BDA0002431408190000076
The sequence is as follows:
Figure BDA0002431408190000081
or
Figure BDA0002431408190000082
Wherein: rojRepresenting the oil production ratio sequence of the jth production well;
predicting the water yield of the jth port according to the following formula
Figure BDA0002431408190000083
Or
Figure BDA0002431408190000084
The sequence is as follows:
Figure BDA0002431408190000085
or
Figure BDA0002431408190000086
Wherein: rojRepresenting the water production ratio sequence of the j production well.
Calculating the total oil production and the total water production of the jth well in a certain time period (three consecutive months) according to the predicted oil production sequence and the predicted water production sequence, comparing the total oil production and the total water production with the collected real total oil production and real total water production in the same period, and drawing a yield comparison graph, wherein the yield comparison graph is shown in figures 6-9: the predicted total output and the current actual total output are expressed by the size of a circle, the predicted total output and the current actual total output are almost close to each other by superposition, the non-superposition indicates that a difference exists, and the area size of the difference between the predicted total output and the current actual total output is positively correlated with the value difference.
From a comparison of fig. 6 and 7, and of fig. 8 and 9, it can be seen that: by optimizing the oil connectivity factor
Figure BDA0002431408190000087
And optimizing water communication coefficient
Figure BDA0002431408190000088
Calculated predicted total yield compared to non-optimized oil connectivity factor
Figure BDA0002431408190000089
Coefficient of communication with water
Figure BDA00024314081900000810
The calculated predicted total yield has smaller error (the oil yield is obviously represented on the production wells No. 6, 7, 15 and 25, and the water yield is obviously represented on the production wells No. 1, 6, 15, 25 and 27), so that the stability is better, and the predicted result is closer to the true value.
In order to quantitatively evaluate the prediction capability of the above two connected coefficients (the un-optimized connected coefficient and the optimized connected coefficient), a weighted relative percentage error (WMAPE) is used for evaluation, and the calculation expression of the WMAPE is shown in formula 8:
equation 8:
Figure BDA0002431408190000091
wherein:
yirepresenting a true yield value;
Figure BDA0002431408190000092
representing a predicted yield value;
m represents the number of observed production wells and is 18.
Meanwhile, in order to illustrate how much the prediction accuracy is improved for the optimized connected coefficient relative to the non-optimized connected coefficient, the lifting height is calculated according to the formula 9:
equation 9:
Figure BDA0002431408190000093
wherein x isiA statistical index value (WMAPE in the patent) representing the model i; the index can calculate how much the two connected coefficient predicted yields differ.
Table 1 shows the respective results
Figure BDA0002431408190000094
Calculating a weighted relative percentage error (WMAPE) of the predicted oil production and the contemporaneous true oil production, and using
Figure BDA0002431408190000095
Predicted oil production versus utilization
Figure BDA0002431408190000096
Improvement of predicted oil production
Figure BDA0002431408190000097
TABLE 1 prediction of oil production error and lift height for production wells (Unit:%)
Figure BDA0002431408190000098
As can be seen from table 1: by optimizing the oil connectivity factor
Figure BDA0002431408190000099
Predicted average WMAPE error is only 1.43%, however, with unoptimized oil connectivity factor
Figure BDA00024314081900000910
The predicted average WMAPE error was 2.08% with a corresponding lift of 31.52%, indicating the use of an optimized oil connectivity factor
Figure BDA00024314081900000911
Performance ratio of predicted oil production over use of an unoptimized oil connectivity factor
Figure BDA00024314081900000912
The oil production was predicted to be 31.52% higher.
Table 2 shows the results of
Figure BDA0002431408190000101
Calculating a weighted relative percentage error (WMAPE) of the predicted water production versus the contemporaneous true water production, and using
Figure BDA0002431408190000102
Predicted oil production versus utilization
Figure BDA0002431408190000103
Improvement of predicted oil production
Figure BDA0002431408190000104
TABLE 2 prediction of production well yield error and elevation (unit:%)
Figure BDA0002431408190000105
As can be seen from table 2: by optimizing the water communication coefficient
Figure BDA0002431408190000106
Predicted average WMAPE error is only 1.29%, however, with non-optimized water flux factor
Figure BDA0002431408190000107
The predicted average WMAPE error was 2.07% with a corresponding lift of 37.94%, indicating that optimized water communication coefficients were used
Figure BDA0002431408190000108
Performance ratio of predicted water production over non-optimized water communication coefficient
Figure BDA0002431408190000109
The water yield is predicted to be 37.94% higher.
Has the advantages that: by adopting the method for quantizing the inter-well communication coefficient, the relatively accurate inter-well oil communication coefficient and water communication coefficient can be obtained according to historical injection and production data, and the estimation precision is high, so that the oil yield and the water yield of an oil well can be predicted with high reliability, and the method can be practically and reliably applied to actual production.
Finally, it should be noted that the above-mentioned description is only a preferred embodiment of the present invention, and those skilled in the art can make various similar representations without departing from the spirit and scope of the present invention.

Claims (2)

1. A method for quantizing an inter-well communication coefficient is characterized by comprising the following steps:
step one, the following data are collected from the same zero moment:
collecting water injection quantity w of N-port water injection wells at each momenti,tWherein i is 1,2,3, …, N, T is 0,1,2, …, T;
collecting oil production po of M production wells at each momentj,tWherein j is 1,2,3, …, M, T is 0,1,2, …, T;
acquiring the water yield pw of the M production wells at each momentj,tWhere j is 1,2,3, …, M, t is 0,1,2,…,T；
Wherein T is the time when the data acquisition is finished;
step two, calculating the total water injection amount W of the N-port water injection well at the t-th time point according to the formula 1 according to the acquired datat：
Equation 1:
Figure FDA0002431408180000011
wherein:
wi,trepresenting the water injection quantity of the acquired ith water injection well at the tth time point;
step three, calculating a ratio matrix Ro capable of eliminating oil yield in the production well according to a formula 2j,t，j＝0,1,2…,M；t＝0,1,2,…,T；
Equation 2:
Figure FDA0002431408180000012
wherein:
poj,trepresenting the oil production of the j production well at the t time point;
step four, calculating a ratio matrix Rw capable of eliminating the water yield in the production well according to the formula 3j,t，j＝0,1,2…,M；t＝0,1,2,…,T；
Equation 3:
Figure FDA0002431408180000013
wherein:
pwj,trepresenting the collected water yield of the jth production well at the tth time point;
calculating a water injection natural loss coefficient alpha according to a formula 4;
equation 4:
Figure FDA0002431408180000014
wherein:
Figure FDA0002431408180000015
Figure FDA0002431408180000016
sixthly, calculating the water communication coefficient between the ith water injection well and the jth production well according to a formula 5
Figure FDA0002431408180000021
And the oil communication coefficient between the ith water injection well and the jth production well
Figure FDA0002431408180000022
And
Figure FDA0002431408180000023
all the value ranges of (1) and (0);
equation 5:
Figure FDA0002431408180000024
wherein:
n represents the number of water injection wells in the well pattern, wherein the distance between the water injection wells and the jth production well is 2;
witime series of water injection amount of the ith water injection well;
poja time series representing oil production from the jth production well;
pwja time series representing water production from the jth production well;
std is a standard deviation calculation formula in the statistical method.
2. The method for quantizing the inter-well communication coefficient according to claim 1, wherein: further comprises a seventh step of calculating and optimizing the oil communication coefficient by adopting a coefficient fine adjustment method
Figure FDA0002431408180000025
And optimizing water communication coefficient
Figure FDA0002431408180000026
Figure FDA0002431408180000027
Figure FDA0002431408180000028
c1Calculated according to equation 6:
equation 6:
Figure FDA0002431408180000029
c2calculated according to equation 7:
equation 7:
Figure FDA00024314081800000210
yjis the time series of oil production from the jth producing well.
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