WO2020192675A1 - Productivity prediction method for fractured horizontal well in tight oil reservoir - Google Patents

Productivity prediction method for fractured horizontal well in tight oil reservoir Download PDF

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WO2020192675A1
WO2020192675A1 PCT/CN2020/081024 CN2020081024W WO2020192675A1 WO 2020192675 A1 WO2020192675 A1 WO 2020192675A1 CN 2020081024 W CN2020081024 W CN 2020081024W WO 2020192675 A1 WO2020192675 A1 WO 2020192675A1
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production
average daily
horizontal well
daily production
peak
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PCT/CN2020/081024
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French (fr)
Chinese (zh)
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苏玉亮
唐梅荣
王文东
杜现飞
范理尧
马兵
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中国石油大学(华东)
中国石油天然气股份有限公司长庆油田分公司油气工艺研究院
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Publication of WO2020192675A1 publication Critical patent/WO2020192675A1/en

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    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B43/00Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
    • E21B43/25Methods for stimulating production
    • E21B43/26Methods for stimulating production by forming crevices or fractures
    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B43/00Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
    • E21B43/25Methods for stimulating production
    • E21B43/26Methods for stimulating production by forming crevices or fractures
    • E21B43/267Methods for stimulating production by forming crevices or fractures reinforcing fractures by propping
    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B49/00Testing the nature of borehole walls; Formation testing; Methods or apparatus for obtaining samples of soil or well fluids, specially adapted to earth drilling or wells

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  • the invention relates to the field of oil and gas field development engineering, and in particular to a productivity prediction method for fracturing horizontal wells in tight oil reservoirs.
  • Tight oil reservoirs are oil reservoirs such as sandstone and limestone with overburden matrix permeability less than or equal to 0.1mD. Because tight oil reservoirs have the characteristics of tight reservoirs, complex pore-throat structures, poor physical properties, and low reservoir pressure coefficients, horizontal well fracturing technology is needed to transform them during development. The productivity prediction of fractured horizontal wells in tight oil reservoirs not only affects the optimization design of horizontal well fracturing and the evaluation of fracturing effect, but also the economic benefit evaluation of fracturing construction.
  • an analytical method is usually used to predict the productivity of a fractured horizontal well in a tight oil reservoir. This method is to establish a corresponding mathematical model for the reservoir by establishing multiple assumptions and physical models to describe oil and gas in terms of production or pressure. The flow in the reservoir is solved to obtain an analytical expression of production, and the production is predicted through the analytical expression of production.
  • the present invention is proposed to provide a productivity prediction method for fracturing horizontal wells in tight oil reservoirs that overcomes or at least partially solves the above-mentioned problems, including:
  • the average value of the peak average daily production determines the main control parameters that affect the production of the fractured horizontal well, and the main control
  • the parameter includes at least one of the geological parameter data and/or the fracturing construction parameter data;
  • the production capacity of the horizontal well to be fractured is predicted.
  • the geological parameters include the average thickness, porosity, permeability and water saturation of the oil layer corresponding to the fractured horizontal well;
  • the fracturing construction parameters include the fracturing length of the fractured horizontal well, the number of fracturing sections, the average sand volume of a single section, the average liquid volume of a single section, the total displacement and the number of fracturing clusters.
  • the calculation of the peak average daily production of the fractured horizontal well based on the daily production data includes:
  • the determining the classification of the fractured horizontal well based on the fuzzy set theory according to the peak average daily production includes:
  • the several fuzzy sets U correspondingly divide the tight oil reservoir fractured horizontal wells into several types.
  • the fuzzy set U is:
  • the main control parameters that affect the production of the fractured horizontal well in the tight oil reservoir are determined.
  • the main control parameters include: the average thickness of the oil layer, the length of the horizontal well, the number of fracturing sections of the horizontal well, the number of fracturing clusters of the horizontal well, the average sand of the single section Volume, the single-stage average liquid volume, and the total displacement.
  • the productivity prediction method provided by the embodiment of the present invention firstly subdivides the fractured horizontal wells in tight oil reservoirs into different categories based on fuzzy sets, and secondly determines the geological parameters, fracturing construction parameters and peak average daily production of different types of horizontal wells.
  • the main control parameters that affect the production of fractured horizontal wells in tight oil reservoirs are determined.
  • the regression analysis method is used to establish the peak value.
  • the average daily production prediction model is used to predict the production capacity of horizontal wells to be fractured in tight oil reservoirs.
  • the productivity prediction method is based on fuzzy sets, which integrates geological factor parameters and fracturing construction parameters, so that the prediction results are closer to the actual situation, and can be effectively used to evaluate the fracturing effect, and further improve and optimize the fracturing construction plan.
  • Fig. 1 is a flowchart of a method for predicting productivity of a fractured horizontal well in a tight oil reservoir according to an embodiment of the present invention
  • Figure 2a is a diagram showing the relationship between production month and monthly average daily production of Well W1 in a block of Changqing Oilfield in the embodiment of the present invention
  • Figure 2b is a diagram showing the relationship between production month and monthly average daily production of Well W2 in a certain block of Changqing Oilfield in the embodiment of the present invention
  • Figure 3 is a frequency distribution diagram of peak average daily production of 55 fractured horizontal wells in a tight oil reservoir in a block of Changqing Oilfield in an embodiment of the present invention
  • Figure 4a is a classification diagram showing the classification of 55 tight oil reservoir fracturing horizontal wells in a block of Changqing Oilfield into 3 categories in an embodiment of the present invention
  • Figure 4b is a classification diagram showing the classification of 55 tight oil reservoir fractured horizontal wells in a block of Changqing Oilfield into 4 categories in the embodiment of the present invention
  • Figure 4c is a classification diagram showing the classification of 55 tight oil reservoir fracturing horizontal wells in a block of Changqing Oilfield into 5 categories in an embodiment of the present invention
  • Figure 5 is a diagram showing the relationship between the length of the horizontal well and the peak average daily production when 55 fracturing horizontal wells in a block of Changqing Oilfield are divided into 32 types in the embodiment of the present invention
  • Figure 6 is a diagram showing the relationship between the length of the horizontal well after the standardized treatment in Figure 5 and the peak average daily production;
  • Fig. 7 is a schematic diagram of obtaining the slope on the basis of Fig. 6;
  • Fig. 8 is a schematic diagram of the influence degree of a single parameter of a fracturing horizontal well of 55 tight oil reservoirs in a block of Changqing Oilfield on the peak average daily production in the embodiment of the present invention
  • Fig. 9 is a comparison diagram between the predicted peak average daily output and the actual peak average daily output using the embodiment of the present invention.
  • the daily output in the early stage of production is an important indicator of oil well productivity and can be directly used to evaluate oil well productivity.
  • the average of consecutive peak production months in the early stage of horizontal well commissioning can be selected.
  • Daily production value-the peak average daily production is used as an evaluation indicator to predict the productivity of a fractured horizontal well in a tight reservoir by predicting the peak average daily production.
  • the embodiment of the present invention provides a productivity prediction method for fracturing horizontal wells in tight oil reservoirs, as shown in FIG. 1, including the following steps:
  • Step 101 Obtain daily production data, geological parameter data, and fracturing construction parameter data of a fractured horizontal well in a tight oil reservoir;
  • Step 102 Calculate the peak average daily production of fractured horizontal wells according to the daily production data
  • Step 103 Determine the classification of the fractured horizontal well based on the fuzzy set according to the peak average daily production
  • Step 104 Calculate the average value of peak average daily production, the average value of geological parameter data, and the average value of fracturing construction parameter data of the corresponding fractured horizontal wells in each category;
  • Step 105 Determine the main control parameters that affect the production of fractured horizontal wells according to the average value of peak average daily production, the average value of geological parameter data, and the average value of fracturing construction parameter data;
  • Step 106 Use regression analysis to establish a peak average daily production prediction model based on the peak average daily production and main control parameters of the fractured horizontal well;
  • Step 107 Predict the productivity of the horizontal well to be fractured according to the peak average daily production prediction model.
  • the productivity prediction method provided by the embodiment of the present invention firstly subdivides the fractured horizontal wells in tight oil reservoirs into different categories based on fuzzy sets, and secondly determines the geological parameters, fracturing construction parameters and peak average daily production of different types of horizontal wells.
  • the main control parameters that affect the production of fractured horizontal wells in tight oil reservoirs are determined.
  • the regression analysis method is used to establish the peak value.
  • the average daily production prediction model is used to predict the production capacity of horizontal wells to be fractured in tight oil reservoirs.
  • the productivity prediction method is based on fuzzy sets, which integrates geological factor parameters and fracturing construction parameters, so that the prediction results are closer to the actual situation, and can be effectively used to evaluate the fracturing effect, and further improve and optimize the fracturing construction plan.
  • the method of using analytical methods to predict production is complicated and difficult to implement.
  • the prediction method provided by the present invention is simple, easy to implement, has strong generalizability, and can effectively guide oil well production allocation.
  • step 101 “acquiring daily production data, geological parameter data, and fracturing construction parameter data of fractured horizontal wells in tight oil reservoirs” refers to obtaining daily production data and geological data of multiple horizontal wells in a certain block. Parameter data and fracturing construction parameter data.
  • the geological parameters may include the average thickness, porosity (average porosity of the reservoir), permeability (average permeability of the reservoir), and water saturation (average water saturation of the reservoir) of the reservoir corresponding to a fractured horizontal well.
  • the fracturing construction parameters can include the fracturing length of the fractured horizontal well, the number of fractured sections of the horizontal well, the average sand volume of a single section (total sand volume/number of sections), the average liquid volume of a single section (total liquid volume/number of sections), and the total Displacement (volume of fracturing fluid injected into the formation per minute) and the number of fracturing clusters in horizontal wells.
  • calculating the peak average daily production of fractured horizontal wells according to the daily production data may include the following steps:
  • Step 1021 Calculate the monthly average daily production of each month after the fractured horizontal well is put into production according to the daily production data
  • the monthly average daily production of each month after the fractured horizontal well is put into production can be calculated, and the monthly average daily production and production month can be plotted in a rectangular coordinate system to obtain the monthly average daily production.
  • Relationship diagram where the horizontal axis can represent the production month, and the vertical axis can represent the monthly average daily output.
  • Step 1022 according to the monthly average daily production, determine the consecutive peak production months before the fractured horizontal wells are put into production;
  • Step 1023 Calculate the peak average daily production of the fractured horizontal wells according to consecutive peak production months.
  • the months with large production in the early stage of the fractured horizontal well can be determined as the consecutive peak production months, and then the peak average daily production can be calculated based on the average daily production value corresponding to the consecutive peak production months.
  • the peak average daily output can be calculated according to the following principles:
  • the average monthly average daily production for 3-5 consecutive months at the beginning of decline can be selected as the peak average daily production.
  • the determined peak average daily production of fractured horizontal well W1 is 3.3 (t/d);
  • step 103 according to the peak average daily production, the classification of the fractured horizontal well is determined based on the fuzzy set.
  • Fuzzy set theory is a method of describing fuzzy phenomena. This method regards the object to be investigated and the fuzzy concept reflecting it as a certain fuzzy set, establishes an appropriate membership function, and analyzes the fuzzy object through related operations and transformations of the fuzzy set. Fuzzy set theory is based on fuzzy mathematics and studies related imprecise phenomena. For horizontal production wells in tight oil reservoirs, high-yield wells and low-yield wells are fuzzy concepts, and how they belong is a key issue in evaluating production effects. The introduction of fuzzy set theory can solve this problem. In addition, the fuzzy classification of horizontal wells indirectly increases the number of samples to be analyzed, which can increase credibility and make the classified data show a better trend.
  • Step 1031 Determine the interval [b, a] according to the peak average daily output, where b represents the minimum value of the peak average daily output, and a represents the maximum value of the peak average daily output;
  • Step 1032 Divide the interval [b, a] into equal parts, and expand the set values to the left and right sides of the equally divided interval to obtain several fuzzy sets U that overlap each other;
  • step 1033 a number of fuzzy sets U correspondingly divide the fractured horizontal wells into several types.
  • the “set value” can be set according to actual needs. For different equally divided intervals, the “set value” can be the same value or different values.
  • the fuzzy set
  • n is the number of equal divisions in the interval [a, b], j is the serial number between equal divisions, j can be 1, 2, 3...; e is a constant.
  • e can be set to different values within different peak average daily production ranges to ensure that horizontal wells are included.
  • the smaller number of iso-zones has a larger expansion range, that is, try to ensure that each iso-zone is a horizontal well classification.
  • the frequency distribution of the peak average daily output can be analyzed first, and then the value of e is determined based on the frequency distribution of the peak average daily output, so that the constant e is different in different peak average daily output ranges Value in order to ensure a larger range of expansion in equal zones with fewer horizontal wells.
  • the frequency distribution of the peak average daily production can be obtained as shown in Figure 3, and the peak average daily production lies in the interval [2, 9] has the largest number of wells and the largest well frequency; the wells with the peak average daily production in the interval (9,15) are the second; the peak average daily production in the interval (15,22) has the least number of wells, and the well frequency is the smallest.
  • Frequency is the percentage of the number of wells with peak average daily production in a certain interval to the total number of wells (55).
  • Figure 3 shows that the higher the peak average daily production, the fewer wells.
  • the fuzzy set U contains more horizontal well samples.
  • the value of the definable constant e is shown in Table 1:
  • a number of fuzzy sets U correspond to the peak average daily production range that divides fractured horizontal wells into several types. All horizontal wells with peak average daily production within this range are classified as one type of horizontal well. If no corresponding horizontal well exists, this range is not selected for horizontal well classification.
  • n can be defined as different values, that is, horizontal wells can be divided into n types.
  • the above-mentioned 55 wells are divided into categories 3, 4 and 5 respectively.
  • 55 wells are classified into 5 categories according to their peak average daily production.
  • the total number of wells is 88. Among them, there are 23 low-yield wells, 21 poor wells, and 21 general wells. There are 17 good wells and 6 high-yield wells. This division significantly expands the number of samples in each fuzzy set U, making the analysis results more reliable.
  • step 104 the average value of the peak average daily production of the fractured horizontal wells in each category, the average value of the geological parameter data, and the average value of the fracturing construction parameter data are calculated respectively.
  • each fuzzy set U corresponds to a category.
  • the corresponding fractured horizontal wells in each category can be obtained The average value of peak average daily production, the average value of geological parameter data and the average value of fracturing construction parameter data.
  • step 105 according to the average value of peak average daily production, the average value of geological parameter data and the average value of fracturing construction parameter data, the main control parameters that affect the production of fractured horizontal wells are determined.
  • the slope of the “maximum straight line segment” in each diagram can be determined, and the slope of the straight line can indicate the impact of each parameter on the output, so that the impact can be determined according to the slope Main control parameters for the production of fractured horizontal wells.
  • Step 1051 Normalize the average value of the geological parameter data and the average value of the fracturing construction parameter data respectively.
  • Normalization is a way of standardization, that is, a dimensional expression is transformed into a non-dimensional expression and becomes a scalar, so that the absolute value of the physical system value becomes a relative value relationship.
  • a dimensional expression is transformed into a non-dimensional expression and becomes a scalar, so that the absolute value of the physical system value becomes a relative value relationship.
  • N is a specific analysis parameter, such as the length of a fractured horizontal well
  • N min is the minimum value of a specific analysis parameter, such as the minimum length of a fractured horizontal well
  • N max is the maximum value of a specific analysis parameter Value, such as the maximum length of a fractured horizontal well
  • Step 1052 Draw a yx relationship curve in a rectangular coordinate system, where y is the average value of the peak average daily output, and x is the average value of the normalized geological parameter data or the average value of the fracturing construction parameter data .
  • Step 1053 Calculate the slope of the largest straight line segment in the y-x relationship curve respectively.
  • Step 1054 Determine the main control parameters that affect the production of the fractured horizontal well according to the magnitude of the slope.
  • the slope of the relationship between the analysis parameter and the peak average daily output can reflect the magnitude of the influence of the parameter on the output, and the greater the slope obtained, the greater the influence of the parameter on the peak average daily output.
  • the main control parameters that can be determined include: the average thickness of the reservoir, the length of the horizontal well (fracturing Length), the number of fracturing sections of horizontal wells, the number of fracturing clusters of horizontal wells, the average sand volume of a single stage, the average liquid volume of a single stage and the total displacement.
  • step 106 according to the peak average daily production and main control parameter data of the fractured horizontal well, a regression analysis method is used to establish a peak average daily production prediction model.
  • Regression analysis method is based on mastering a large amount of observation data, using mathematical statistics to establish the regression relationship function expression between the dependent variable and the independent variable.
  • regression analysis can be used to establish the regression relationship function expression between the peak average daily production and the main control parameters, namely For the peak average daily output forecast model.
  • the peak average daily production prediction model can be obtained as:
  • Step 107 Predict the productivity of the horizontal well to be fractured according to the peak average daily production prediction model.
  • the daily output in the early stage of production is an important indicator of the productivity of an oil well and can be directly used to evaluate the productivity of an oil well.

Abstract

Disclosed is a productivity prediction method for a fractured horizontal well in a tight oil reservoir. The method comprises: firstly, subdividing, based on a fuzzy set, fractured horizontal wells in a tight oil reservoir into different categories; secondly, determining a relationship between geological parameters, fracturing construction parameters and average daily yield peaks of different categories of horizontal wells; then determining main control parameters affecting the yields of the fractured horizontal wells in the tight oil reservoir; and finally, establishing, according to the average daily yield peaks of the fractured horizontal wells in the tight oil reservoir and corresponding main control parameter data, an average daily yield peak prediction model by means of a regression analysis method, so as to predict the productivity of a horizontal well to be fractured in the tight oil reservoir. In the method, geological factor parameters and fracturing construction parameters are combined to make a prediction result be closer to an actual situation, which can be effectively used to evaluate a fracturing effect, thereby further improving and optimizing a fracturing construction plan.

Description

一种用于致密油藏压裂水平井的产能预测方法A productivity prediction method for fractured horizontal wells in tight oil reservoirs 技术领域Technical field
本发明涉及油气田开发工程领域,特别涉及一种用于致密油藏压裂水平井的产能预测方法。The invention relates to the field of oil and gas field development engineering, and in particular to a productivity prediction method for fracturing horizontal wells in tight oil reservoirs.
背景技术Background technique
致密油藏是覆压基质渗透率小于或等于0.1mD的砂岩、灰岩等储集油层。由于致密油藏具有储层致密、孔喉结构复杂、物性差、油藏压力系数低等特点,开发时需要借助水平井压裂技术来对其进行改造。而致密油藏压裂水平井的产能预测不仅影响水平井压裂优化设计和压裂效果评价,还会影响压裂施工的经济效益评价。Tight oil reservoirs are oil reservoirs such as sandstone and limestone with overburden matrix permeability less than or equal to 0.1mD. Because tight oil reservoirs have the characteristics of tight reservoirs, complex pore-throat structures, poor physical properties, and low reservoir pressure coefficients, horizontal well fracturing technology is needed to transform them during development. The productivity prediction of fractured horizontal wells in tight oil reservoirs not only affects the optimization design of horizontal well fracturing and the evaluation of fracturing effect, but also the economic benefit evaluation of fracturing construction.
现有技术中,通常采用解析法对致密油藏压裂水平井的产能进行预测,该方法是通过设立多个假设条件和物理模型对油藏建立相应的数学模型,以产量或压力来描述油气在储层中的流动,并求解得到产量解析表达式,通过产量解析表达式进行产量的预测。In the prior art, an analytical method is usually used to predict the productivity of a fractured horizontal well in a tight oil reservoir. This method is to establish a corresponding mathematical model for the reservoir by establishing multiple assumptions and physical models to describe oil and gas in terms of production or pressure. The flow in the reservoir is solved to obtain an analytical expression of production, and the production is predicted through the analytical expression of production.
发明人发现现有技术中至少存在以下问题:The inventor found at least the following problems in the prior art:
实际生产中,影响致密油藏压裂水平井产能的因素较多,包括各压裂井的地质参数、压裂施工改造等,而采用解析法不能综合考虑地质参数和压裂施工参数(如砂量、液量和排量)的影响,且解析法对致密油藏压裂水平井产能的主控因素了解也不够,使用解析法预测致密油藏的产能与实际致密油藏的产能有较大差距,不能有效地用于评价压裂效果,影响压裂施工方案进一步的改进与优化。In actual production, there are many factors that affect the productivity of fractured horizontal wells in tight oil reservoirs, including the geological parameters of each fractured well, fracturing construction modification, etc. However, the analytical method cannot comprehensively consider geological parameters and fracturing construction parameters (such as sand Analytical method is not enough to understand the main control factors of tight oil reservoir fracturing horizontal well productivity. The use of analytical method to predict the productivity of tight oil reservoirs is greater than the actual tight oil reservoir’s productivity. The gap cannot be effectively used to evaluate the fracturing effect and affect the further improvement and optimization of the fracturing construction plan.
发明内容Summary of the invention
鉴于上述问题,提出了本发明以便提供一种克服上述问题或者至少部分地解决上述问题的一种用于致密油藏压裂水平井的产能预测方法,包括:In view of the above-mentioned problems, the present invention is proposed to provide a productivity prediction method for fracturing horizontal wells in tight oil reservoirs that overcomes or at least partially solves the above-mentioned problems, including:
获取致密油藏已压裂水平井的日产量数据、地质参数数据和压裂施工参数数据;Obtain daily production data, geological parameter data and fracturing construction parameter data of fractured horizontal wells in tight oil reservoirs;
根据所述日产量数据,计算所述已压裂水平井的峰值平均日产量;According to the daily production data, calculate the peak average daily production of the fractured horizontal well;
根据所述峰值平均日产量,基于模糊集合确定所述已压裂水平井的分类;Determine the classification of the fractured horizontal well based on the fuzzy set according to the peak average daily production;
分别计算每种分类中对应的已压裂水平井的所述峰值平均日产量的平均值、所述地质参数数据的平均值以及所述压裂施工参数数据的平均值;Calculate the average value of the peak average daily production, the average value of the geological parameter data, and the average value of the fracturing construction parameter data of the corresponding fractured horizontal wells in each category;
根据所述峰值平均日产量的平均值、所述地质参数数据的平均值和所述压裂施工参数数据的平均值,确定影响所述已压裂水平井产量的主控参数,所述主控参数包括所述地质参数数据和/或所述压裂施工参数数据中的至少一项;According to the average value of the peak average daily production, the average value of the geological parameter data, and the average value of the fracturing construction parameter data, determine the main control parameters that affect the production of the fractured horizontal well, and the main control The parameter includes at least one of the geological parameter data and/or the fracturing construction parameter data;
根据所述已压裂水平井的峰值平均日产量和所述主控参数,基于回归分析法建立峰值平均日产量预测模型;According to the peak average daily production rate of the fractured horizontal well and the main control parameters, establish a peak average daily production prediction model based on regression analysis;
根据所述峰值平均日产量预测模型,预测待压裂水平井的产能。According to the peak average daily production prediction model, the production capacity of the horizontal well to be fractured is predicted.
在一种可能的设计中,所述地质参数包括已压裂水平井对应的油层的平均厚度、孔隙度、渗透率和含水饱和度;In a possible design, the geological parameters include the average thickness, porosity, permeability and water saturation of the oil layer corresponding to the fractured horizontal well;
所述压裂施工参数包括已压裂水平井的压裂长度、压裂段数、单段平均砂量、单段平均液量、总排量和压裂簇数。The fracturing construction parameters include the fracturing length of the fractured horizontal well, the number of fracturing sections, the average sand volume of a single section, the average liquid volume of a single section, the total displacement and the number of fracturing clusters.
在一种可能的设计中,所述根据所述日产量数据,计算所述已压裂水平井的峰值平均日产量,包括:In a possible design, the calculation of the peak average daily production of the fractured horizontal well based on the daily production data includes:
根据所述日产量数据,计算所述已压裂水平井投产后每个月份的月平均日产量;According to the daily production data, calculate the monthly average daily production of each month after the fractured horizontal well is put into production;
根据所述月平均日产量,确定所述已压裂水平井的连续峰值产量月份;Determine the consecutive peak production month of the fractured horizontal well according to the monthly average daily production;
根据所述连续峰值产量月份,计算所述已压裂水平井的峰值平均日产量。According to the consecutive peak production months, calculate the peak average daily production of the fractured horizontal well.
在一种可能的设计中,所述根据所述峰值平均日产量,基于模糊集合理论确定所述已压裂水平井的分类,包括:In a possible design, the determining the classification of the fractured horizontal well based on the fuzzy set theory according to the peak average daily production includes:
根据所述峰值平均日产量,确定区间[b,a],其中,b表示所述峰值平均日产量的最小值,a表示所述峰值平均日产量的最大值;Determine the interval [b, a] according to the peak average daily output, where b represents the minimum value of the peak average daily output, and a represents the maximum value of the peak average daily output;
将所述区间[b,a]进行若干等分,且使等分后的区间分别向左右两边扩大设定值,得到若干个两两重叠的模糊集合U;Divide the interval [b, a] into several equal divisions, and expand the set values to the left and right sides of the divided interval respectively, to obtain several two-by-two overlapping fuzzy sets U;
若干个所述模糊集合U对应将所述致密油藏压裂水平井分为若干类。The several fuzzy sets U correspondingly divide the tight oil reservoir fractured horizontal wells into several types.
在一种可能的设计中,所述模糊集合U为:In a possible design, the fuzzy set U is:
Figure PCTCN2020081024-appb-000001
Figure PCTCN2020081024-appb-000001
其中,n是所述区间[a,b]的等分个数,j为等分区间的序号,j=1,2,3…;e为常数。Wherein, n is the number of equal divisions in the interval [a, b], j is the serial number between equal divisions, j=1, 2, 3...; e is a constant.
在一种可能的设计中,所述根据所述峰值平均日产量的平均值、所述地质参数数据的平均值和所述压裂施工参数数据的平均值,确定影响所述已压裂水平井产量的主控参数,包括:In a possible design, according to the average value of the peak average daily production, the average value of the geological parameter data and the average value of the fracturing construction parameter data, it is determined to affect the fractured horizontal well Main control parameters of output, including:
分别将所述地质参数数据的平均值和所述压裂施工参数数据的平均值进行归一化处理;Normalizing the average value of the geological parameter data and the average value of the fracturing construction parameter data respectively;
在平面直角坐标系下绘制y-x的关系曲线,其中,所述y为所述峰值平均日产量的平均值,所述x为归一化处理后的所述地质参数数据的平均值或所述压裂施工参数数据的平均值;Draw the relationship curve of yx in a rectangular coordinate system, wherein the y is the average value of the peak average daily production, and the x is the average value of the geological parameter data after normalization or the pressure Average value of construction parameter data;
分别计算所述y-x的关系曲线中,最大直线段的斜率;Respectively calculating the slope of the largest straight line segment in the y-x relationship curve;
根据所述斜率的大小,确定影响所述致密油藏压裂水平井产量的主控参数。According to the magnitude of the slope, the main control parameters that affect the production of the fractured horizontal well in the tight oil reservoir are determined.
在一种可能的设计中,所述主控参数包括:所述油层平均厚度、所述水平井长度、所述水平井压裂段数、所述水平井压裂簇数、所述单段平均砂量、所述单段平均液量和所述总排量。In a possible design, the main control parameters include: the average thickness of the oil layer, the length of the horizontal well, the number of fracturing sections of the horizontal well, the number of fracturing clusters of the horizontal well, the average sand of the single section Volume, the single-stage average liquid volume, and the total displacement.
本发明实施例提供的技术方案带来的有益效果至少包括:The beneficial effects brought about by the technical solutions provided by the embodiments of the present invention include at least:
本发明实施例提供的产能预测方法,首先基于模糊集合将致密油藏已压裂水平井细分为不同类别,其次确定了不同类别水平井的地质参数、压裂施工参数与峰值平均日产量之间的关系,进而 确定了影响致密油藏压裂水平井产量的主控参数,最后,根据致密油藏压裂水平井的峰值平均日产量和相应的主控参数数据,利用回归分析法建立峰值平均日产量预测模型,进而对致密油藏待压裂水平井的产能进行预测。该产能预测方法基于模糊集合,综合了地质因素参数和压裂施工参数,使预测结果更接近实际情况,能有效地用于评价压裂效果,进一步地改进和优化压裂施工方案。The productivity prediction method provided by the embodiment of the present invention firstly subdivides the fractured horizontal wells in tight oil reservoirs into different categories based on fuzzy sets, and secondly determines the geological parameters, fracturing construction parameters and peak average daily production of different types of horizontal wells. The main control parameters that affect the production of fractured horizontal wells in tight oil reservoirs are determined. Finally, according to the peak average daily production of fractured horizontal wells in tight oil reservoirs and the corresponding main control parameter data, the regression analysis method is used to establish the peak value. The average daily production prediction model is used to predict the production capacity of horizontal wells to be fractured in tight oil reservoirs. The productivity prediction method is based on fuzzy sets, which integrates geological factor parameters and fracturing construction parameters, so that the prediction results are closer to the actual situation, and can be effectively used to evaluate the fracturing effect, and further improve and optimize the fracturing construction plan.
附图说明Description of the drawings
为了更清楚地说明本发明实施例中的技术方案,下面将对实施例描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly describe the technical solutions in the embodiments of the present invention, the following will briefly introduce the accompanying drawings used in the description of the embodiments. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, other drawings can be obtained from these drawings without creative work.
图1为本发明实施例提供的一种用于致密油藏压裂水平井的产能预测方法的流程图;Fig. 1 is a flowchart of a method for predicting productivity of a fractured horizontal well in a tight oil reservoir according to an embodiment of the present invention;
图2a为本发明实施例中长庆油田某区块W1井的生产月份与月平均日产量的关系图;Figure 2a is a diagram showing the relationship between production month and monthly average daily production of Well W1 in a block of Changqing Oilfield in the embodiment of the present invention;
图2b为本发明实施例中长庆油田某区块W2井的生产月份与月平均日产量的关系图;Figure 2b is a diagram showing the relationship between production month and monthly average daily production of Well W2 in a certain block of Changqing Oilfield in the embodiment of the present invention;
图3为本发明实施例中长庆油田某区块55口致密油藏压裂水平井的峰值平均日产量的频率分布图;Figure 3 is a frequency distribution diagram of peak average daily production of 55 fractured horizontal wells in a tight oil reservoir in a block of Changqing Oilfield in an embodiment of the present invention;
图4a为本发明实施例中将长庆油田某区块55口致密油藏压裂水平井划分为3类的分类情况图;Figure 4a is a classification diagram showing the classification of 55 tight oil reservoir fracturing horizontal wells in a block of Changqing Oilfield into 3 categories in an embodiment of the present invention;
图4b为本发明实施例中将长庆油田某区块55口致密油藏压裂水平井划分为4类的分类情况图;Figure 4b is a classification diagram showing the classification of 55 tight oil reservoir fractured horizontal wells in a block of Changqing Oilfield into 4 categories in the embodiment of the present invention;
图4c为本发明实施例中将长庆油田某区块55口致密油藏压裂水平井划分为5类的分类情况图;Figure 4c is a classification diagram showing the classification of 55 tight oil reservoir fracturing horizontal wells in a block of Changqing Oilfield into 5 categories in an embodiment of the present invention;
图5为本发明实施例中将长庆油田某区块55口致密油藏压裂水平井划分为32类时,水平井长度与峰值平均日产量的关系图;Figure 5 is a diagram showing the relationship between the length of the horizontal well and the peak average daily production when 55 fracturing horizontal wells in a block of Changqing Oilfield are divided into 32 types in the embodiment of the present invention;
图6为图5中标准化处理后的水平井长度与峰值平均日产量之间的关系图;Figure 6 is a diagram showing the relationship between the length of the horizontal well after the standardized treatment in Figure 5 and the peak average daily production;
图7为在图6的基础上求取斜率的示意图;Fig. 7 is a schematic diagram of obtaining the slope on the basis of Fig. 6;
图8为本发明实施例中长庆油田某区块55口致密油藏压裂水平井的单个参数对峰值平均日产量的影响程度示意图;Fig. 8 is a schematic diagram of the influence degree of a single parameter of a fracturing horizontal well of 55 tight oil reservoirs in a block of Changqing Oilfield on the peak average daily production in the embodiment of the present invention;
图9为采用本发明实施例预测的峰值平均日产量和实际的峰值平均日产量的对比图。Fig. 9 is a comparison diagram between the predicted peak average daily output and the actual peak average daily output using the embodiment of the present invention.
具体实施方式detailed description
下面将参照附图更详细地描述本公开的示例性实施例。虽然附图中显示了本公开的示例性实施例,然而应当理解,可以以各种形式实现本公开而不应被这里阐述的实施例所限制。相反,提供这些实施例是为了能够更透彻地理解本公开,并且能够将本公开的范围完整的传达给本领域的技术人员。Hereinafter, exemplary embodiments of the present disclosure will be described in more detail with reference to the accompanying drawings. Although exemplary embodiments of the present disclosure are shown in the drawings, it should be understood that the present disclosure may be implemented in various forms and should not be limited by the embodiments set forth herein. On the contrary, these embodiments are provided to enable a more thorough understanding of the present disclosure and to fully convey the scope of the present disclosure to those skilled in the art.
需要说明的是,投产前期的日产量是油井产能的重要指标,能够直接用于评价油井产能。考虑到致密油藏体积压裂水平井投产时间长的井个数较少,为增加分析的样本数且保证压裂效果评价 分析的可靠性,可选取水平井投产前期的连续峰值产量月份的平均日产量值——峰值平均日产量作为评价指标,通过预测峰值平均日产量来预测致密油藏压裂水平井的产能。It should be noted that the daily output in the early stage of production is an important indicator of oil well productivity and can be directly used to evaluate oil well productivity. Considering that the number of wells in tight reservoirs with volumetric fracturing horizontal wells with a long commissioning time is small, in order to increase the number of samples analyzed and to ensure the reliability of fracturing effect evaluation and analysis, the average of consecutive peak production months in the early stage of horizontal well commissioning can be selected Daily production value-the peak average daily production is used as an evaluation indicator to predict the productivity of a fractured horizontal well in a tight reservoir by predicting the peak average daily production.
本发明实施例提供了一种用于致密油藏压裂水平井的产能预测方法,如图1所示,包括以下步骤:The embodiment of the present invention provides a productivity prediction method for fracturing horizontal wells in tight oil reservoirs, as shown in FIG. 1, including the following steps:
步骤101、获取致密油藏已压裂水平井的日产量数据、地质参数数据和压裂施工参数数据;Step 101: Obtain daily production data, geological parameter data, and fracturing construction parameter data of a fractured horizontal well in a tight oil reservoir;
步骤102、根据日产量数据,计算已压裂水平井的峰值平均日产量;Step 102: Calculate the peak average daily production of fractured horizontal wells according to the daily production data;
步骤103、根据峰值平均日产量,基于模糊集合确定已压裂水平井的分类;Step 103: Determine the classification of the fractured horizontal well based on the fuzzy set according to the peak average daily production;
步骤104、分别计算每种分类中对应的已压裂水平井的峰值平均日产量的平均值、地质参数数据的平均值以及压裂施工参数数据的平均值;Step 104: Calculate the average value of peak average daily production, the average value of geological parameter data, and the average value of fracturing construction parameter data of the corresponding fractured horizontal wells in each category;
步骤105、根据峰值平均日产量的平均值、地质参数数据的平均值和压裂施工参数数据的平均值,确定影响已压裂水平井产量的主控参数;Step 105: Determine the main control parameters that affect the production of fractured horizontal wells according to the average value of peak average daily production, the average value of geological parameter data, and the average value of fracturing construction parameter data;
步骤106、根据已压裂水平井的峰值平均日产量和主控参数,利用回归分析法建立峰值平均日产量预测模型;Step 106: Use regression analysis to establish a peak average daily production prediction model based on the peak average daily production and main control parameters of the fractured horizontal well;
步骤107、根据峰值平均日产量预测模型,预测待压裂水平井的产能。Step 107: Predict the productivity of the horizontal well to be fractured according to the peak average daily production prediction model.
本发明实施例提供的产能预测方法,首先基于模糊集合将致密油藏已压裂水平井细分为不同类别,其次确定了不同类别水平井的地质参数、压裂施工参数与峰值平均日产量之间的关系,进而确定了影响致密油藏压裂水平井产量的主控参数,最后,根据致密油藏压裂水平井的峰值平均日产量和相应的主控参数数据,利用回归分析法建立峰值平均日产量预测模型,进而对致密油藏待压裂水平井的产能进行预测。该产能预测方法基于模糊集合,综合了地质因素参数和压裂施工参数,使预测结果更接近实际情况,能有效地用于评价压裂效果,进一步地改进和优化压裂施工方案。The productivity prediction method provided by the embodiment of the present invention firstly subdivides the fractured horizontal wells in tight oil reservoirs into different categories based on fuzzy sets, and secondly determines the geological parameters, fracturing construction parameters and peak average daily production of different types of horizontal wells. The main control parameters that affect the production of fractured horizontal wells in tight oil reservoirs are determined. Finally, according to the peak average daily production of fractured horizontal wells in tight oil reservoirs and the corresponding main control parameter data, the regression analysis method is used to establish the peak value. The average daily production prediction model is used to predict the production capacity of horizontal wells to be fractured in tight oil reservoirs. The productivity prediction method is based on fuzzy sets, which integrates geological factor parameters and fracturing construction parameters, so that the prediction results are closer to the actual situation, and can be effectively used to evaluate the fracturing effect, and further improve and optimize the fracturing construction plan.
另外,采用解析法预测产量的方法复杂、实现难度大,与此相比,采用本发明提供的预测方法简单、易行,具有较强的可推广性,可有效地指导油井配产。In addition, the method of using analytical methods to predict production is complicated and difficult to implement. Compared with this, the prediction method provided by the present invention is simple, easy to implement, has strong generalizability, and can effectively guide oil well production allocation.
对于步骤101而言,“获取致密油藏已压裂水平井的日产量数据、地质参数数据和压裂施工参数数据”是指获取某区块多口已投产的水平井的日产量数据、地质参数数据和压裂施工参数数据。For step 101, “acquiring daily production data, geological parameter data, and fracturing construction parameter data of fractured horizontal wells in tight oil reservoirs” refers to obtaining daily production data and geological data of multiple horizontal wells in a certain block. Parameter data and fracturing construction parameter data.
上述数据均可由油田生产资料获取。更具体地,地质参数可包括已压裂水平井对应的油藏的平均厚度、孔隙度(油层平均孔隙度)、渗透率(油层平均渗透率)和含水饱和度(油层平均含水饱和度)等;压裂施工参数可包括已压裂水平井的压裂长度、水平井压裂段数、单段平均砂量(总砂量/段数)、单段平均液量(总液量/段数)、总排量(每分钟向地层注入的压裂液的体积)和水平井压裂簇数等。The above data can be obtained from oilfield production materials. More specifically, the geological parameters may include the average thickness, porosity (average porosity of the reservoir), permeability (average permeability of the reservoir), and water saturation (average water saturation of the reservoir) of the reservoir corresponding to a fractured horizontal well. ; The fracturing construction parameters can include the fracturing length of the fractured horizontal well, the number of fractured sections of the horizontal well, the average sand volume of a single section (total sand volume/number of sections), the average liquid volume of a single section (total liquid volume/number of sections), and the total Displacement (volume of fracturing fluid injected into the formation per minute) and the number of fracturing clusters in horizontal wells.
对于步骤102,根据日产量数据,计算已压裂水平井的峰值平均日产量,具体地,可包括以下步骤:For step 102, calculating the peak average daily production of fractured horizontal wells according to the daily production data, specifically, may include the following steps:
步骤1021,根据日产量数据,计算已压裂水平井投产后每个月份的月平均日产量;Step 1021: Calculate the monthly average daily production of each month after the fractured horizontal well is put into production according to the daily production data;
根据日产量数据,可计算已压裂水平井投产后每个月份的月平均日产量,并可将月平均日产量与生产月份绘制在平面直角坐标系中,得到生产月份与月平均日产量的关系图,其中,横轴可表 示生产月份,纵轴可表示月平均日产量。以鄂尔多斯盆地的长庆油田某区块的W1井和W2井为例,所得到的生产月份与月平均日产量的关系图如图2a和图2b所示,其中,横坐标代表的是生产月份,即压裂投产后的第几月;纵坐标代表的是对应月份的月平均日产量。According to the daily production data, the monthly average daily production of each month after the fractured horizontal well is put into production can be calculated, and the monthly average daily production and production month can be plotted in a rectangular coordinate system to obtain the monthly average daily production. Relationship diagram, where the horizontal axis can represent the production month, and the vertical axis can represent the monthly average daily output. Taking Wells W1 and W2 in a block of Changqing Oilfield in the Ordos Basin as an example, the relationship between production month and monthly average daily production is shown in Figure 2a and Figure 2b, where the abscissa represents the production month , That is, the first few months after fracturing is put into production; the ordinate represents the monthly average daily production of the corresponding month.
步骤1022,根据月平均日产量,确定已压裂水平井投产前期的连续峰值产量月份;Step 1022, according to the monthly average daily production, determine the consecutive peak production months before the fractured horizontal wells are put into production;
步骤1023,根据连续峰值产量月份,计算已压裂水平井的峰值平均日产量。Step 1023: Calculate the peak average daily production of the fractured horizontal wells according to consecutive peak production months.
应用时,可根据月平均日产量,确定已压裂水平井投产前期产量较大的若干月份作为连续峰值产量月份,再基于连续峰值产量月份对应的平均日产值,计算峰值平均日产量。In application, according to the monthly average daily production, the months with large production in the early stage of the fractured horizontal well can be determined as the consecutive peak production months, and then the peak average daily production can be calculated based on the average daily production value corresponding to the consecutive peak production months.
示例地,可根据以下原则进行计算峰值平均日产量:For example, the peak average daily output can be calculated according to the following principles:
(1)在水平井生产初期,对于在峰值的月平均日产量变化较为平缓的水平井,可选取开始递减时的连续3-5个月的月平均日产量的平均值作为峰值平均日产量,如图2a所示,确定的已压裂水平井W1的峰值平均日产量为3.3(t/d);(1) In the early stage of horizontal well production, for horizontal wells where the monthly average daily production at the peak changes more slowly, the average monthly average daily production for 3-5 consecutive months at the beginning of decline can be selected as the peak average daily production. As shown in Figure 2a, the determined peak average daily production of fractured horizontal well W1 is 3.3 (t/d);
(2)在水平井生产初期,对于在峰值的月平均日产量变化幅度较大的水平井,为避免误差和保证峰值平均日产量选取的合理性,选取月平均日产量从峰值下降后稳定波动范围内连续3-5个月的月平均日产量的平均值作为峰值平均日产量,如图2b所示,确定的已压裂水平井W2的峰值平均日产量为2.3(t/d)。(2) In the initial stage of horizontal well production, for horizontal wells with large monthly average daily production changes at the peak, in order to avoid errors and ensure the rationality of the selection of peak average daily production, select the monthly average daily production to fluctuate stably after the peak The average monthly average daily production for 3-5 consecutive months in the range is regarded as the peak average daily production. As shown in Figure 2b, the peak average daily production of the determined fractured horizontal well W2 is 2.3 (t/d).
对于步骤103,根据峰值平均日产量,基于模糊集合确定已压裂水平井的分类。For step 103, according to the peak average daily production, the classification of the fractured horizontal well is determined based on the fuzzy set.
模糊集合理论是一种描述模糊现象的方法。这种方法把待考察的对象及反映它的模糊概念作为一定的模糊集合,建立适当的隶属函数,通过模糊集合的有关运算和变换,对模糊对象进行分析。模糊集合论以模糊数学为基础,研究有关非精确的现象。对致密油藏水平生产井而言,高产井、低产井是模糊的概念,而其如何归属是评价生产效果的关键问题,引入模糊集合理论可解决这一问题。另外,通过对水平井的模糊分类间接上增加了分析样本的个数,从而可增加可信度,也使得分类后的数据显示出较好的趋势。Fuzzy set theory is a method of describing fuzzy phenomena. This method regards the object to be investigated and the fuzzy concept reflecting it as a certain fuzzy set, establishes an appropriate membership function, and analyzes the fuzzy object through related operations and transformations of the fuzzy set. Fuzzy set theory is based on fuzzy mathematics and studies related imprecise phenomena. For horizontal production wells in tight oil reservoirs, high-yield wells and low-yield wells are fuzzy concepts, and how they belong is a key issue in evaluating production effects. The introduction of fuzzy set theory can solve this problem. In addition, the fuzzy classification of horizontal wells indirectly increases the number of samples to be analyzed, which can increase credibility and make the classified data show a better trend.
具体地,可包括以下步骤:Specifically, it may include the following steps:
步骤1031,根据峰值平均日产量,确定区间[b,a],其中,b表示峰值平均日产量的最小值,a表示峰值平均日产量的最大值;Step 1031: Determine the interval [b, a] according to the peak average daily output, where b represents the minimum value of the peak average daily output, and a represents the maximum value of the peak average daily output;
步骤1032,将区间[b,a]进行若干等分,且使等分后的区间分别向左右两边扩大设定值,得到若干个两两重叠的模糊集合U;Step 1032: Divide the interval [b, a] into equal parts, and expand the set values to the left and right sides of the equally divided interval to obtain several fuzzy sets U that overlap each other;
步骤1033,若干个模糊集合U对应将已压裂水平井分为若干类。In step 1033, a number of fuzzy sets U correspondingly divide the fractured horizontal wells into several types.
其中,“设定值”可以根据实际需要进行设置,对于不同的等分后的区间,该“设定值”可以为相同的数值,也可以为不同的数值。Among them, the "set value" can be set according to actual needs. For different equally divided intervals, the "set value" can be the same value or different values.
在一种可能的实施方式中,可使模糊集合
Figure PCTCN2020081024-appb-000002
In a possible implementation, the fuzzy set
Figure PCTCN2020081024-appb-000002
其中,n是区间[a,b]的等分个数,j为等分区间的序号,j可取1,2,3…;e为常数。Among them, n is the number of equal divisions in the interval [a, b], j is the serial number between equal divisions, j can be 1, 2, 3...; e is a constant.
可以理解的是,为了确保每一个等分区间中都包含足够多的水平井样本,以使得计算结果更准确,可在不同的峰值平均日产量范围内使e取不同的值,保证包含水平井数较少的等分区间扩大的范围较大,即尽量确保每一等分区间为一种水平井的分类。It is understandable that, in order to ensure that there are enough horizontal well samples in each equipartition area to make the calculation results more accurate, e can be set to different values within different peak average daily production ranges to ensure that horizontal wells are included. The smaller number of iso-zones has a larger expansion range, that is, try to ensure that each iso-zone is a horizontal well classification.
基于此,在划分模糊集合U之前,可先分析峰值平均日产量的频率分布,然后基于峰值平均日产量的频率分布来确定e值,使在不同的峰值平均日产量范围内常数e取不同的值,以保证在水平井井数较少的等分区间上扩大的范围较大。Based on this, before dividing the fuzzy set U, the frequency distribution of the peak average daily output can be analyzed first, and then the value of e is determined based on the frequency distribution of the peak average daily output, so that the constant e is different in different peak average daily output ranges Value in order to ensure a larger range of expansion in equal zones with fewer horizontal wells.
示例地,以鄂尔多斯盆地的长庆油田某区块的55口致密油藏压裂水平井为例,可得到峰值平均日产量的频率分布如图3所示,峰值平均日产量位于区间[2,9]的井数最多,井频率最大;峰值平均日产量位于区间(9,15]的井数次之;峰值平均日产量位于区间(15,22]的井数最少,井频率最小。上述井频率即峰值平均日产量位于某一区间的井数所占统计的总井数(55口)的百分比。图3表明峰值平均日产量越高,井数越少,为了保证平均日产量较高的模糊集合U中包含更多的水平井样本,可定义常数e的取值如表1所示:As an example, taking 55 fractured horizontal wells in a tight oil reservoir in a block of the Changqing Oilfield in the Ordos Basin as an example, the frequency distribution of the peak average daily production can be obtained as shown in Figure 3, and the peak average daily production lies in the interval [2, 9] has the largest number of wells and the largest well frequency; the wells with the peak average daily production in the interval (9,15) are the second; the peak average daily production in the interval (15,22) has the least number of wells, and the well frequency is the smallest. Frequency is the percentage of the number of wells with peak average daily production in a certain interval to the total number of wells (55). Figure 3 shows that the higher the peak average daily production, the fewer wells. In order to ensure a higher average daily production The fuzzy set U contains more horizontal well samples. The value of the definable constant e is shown in Table 1:
表1常数e的取值Table 1 Value of the constant e
Figure PCTCN2020081024-appb-000003
Figure PCTCN2020081024-appb-000003
划分后,若干个模糊集合U对应将已压裂水平井分为若干类的峰值平均日产量范围,峰值平均日产量在该范围内的所有水平井为一类水平井分类,若在该范围内的无对应的水平井存在,则不选用该范围进行水平井分类。After division, a number of fuzzy sets U correspond to the peak average daily production range that divides fractured horizontal wells into several types. All horizontal wells with peak average daily production within this range are classified as one type of horizontal well. If no corresponding horizontal well exists, this range is not selected for horizontal well classification.
实际应用中,可定义n为不同的数值,即对应把水平井分为n类。如图4a、图4b和图4c所示,分别示出了将上述55口井划分为3类、4类和5类的情况。以图4c中将55口井按峰值平均日产量划分5类为例,进行模糊分类后的总井数为88口,其中,低产井有23口,较差井有21口,一般井有21口,较好井有17口,高产井有6口,如此划分,明显扩大了每个模糊集合U中的样本数量,使得分析结果更具有可靠性。In practical applications, n can be defined as different values, that is, horizontal wells can be divided into n types. As shown in Fig. 4a, Fig. 4b and Fig. 4c, the above-mentioned 55 wells are divided into categories 3, 4 and 5 respectively. Taking Figure 4c as an example, 55 wells are classified into 5 categories according to their peak average daily production. After fuzzy classification, the total number of wells is 88. Among them, there are 23 low-yield wells, 21 poor wells, and 21 general wells. There are 17 good wells and 6 high-yield wells. This division significantly expands the number of samples in each fuzzy set U, making the analysis results more reliable.
对于步骤104,分别计算每种分类中对应的已压裂水平井的峰值平均日产量的平均值、地质参数数据的平均值以及压裂施工参数数据的平均值。For step 104, the average value of the peak average daily production of the fractured horizontal wells in each category, the average value of the geological parameter data, and the average value of the fracturing construction parameter data are calculated respectively.
在上述的产能预测方法中,每个模糊集合U对应一种分类。对于每一种分类,可根据相应的模糊集合U中包含的已压裂水平井的峰值平均日产量、地质参数数据和压裂施工参数数据,求取每种分类中对应的已压裂水平井的峰值平均日产量的平均值、地质参数数据的平均值以及压裂施工参数数据的平均值。In the above-mentioned capacity prediction method, each fuzzy set U corresponds to a category. For each category, according to the peak average daily production, geological parameter data, and fracturing construction parameter data of fractured horizontal wells contained in the corresponding fuzzy set U, the corresponding fractured horizontal wells in each category can be obtained The average value of peak average daily production, the average value of geological parameter data and the average value of fracturing construction parameter data.
当将已压裂水平井划分为5类时,即可得到5组相互对应的峰值平均日产量的平均值、地质参数数据的平均值以及压裂施工参数数据的平均值。When the fractured horizontal wells are divided into 5 types, 5 groups of corresponding peak average daily production average values, average values of geological parameter data, and average values of fracturing construction parameter data can be obtained.
对于步骤105,根据峰值平均日产量的平均值、地质参数数据的平均值和压裂施工参数数据 的平均值,确定影响已压裂水平井产量的主控参数。For step 105, according to the average value of peak average daily production, the average value of geological parameter data and the average value of fracturing construction parameter data, the main control parameters that affect the production of fractured horizontal wells are determined.
当增加水平井分类个数时,所分析的每种分类中的峰值平均日产量的平均值和地质参数数据的平均值、压裂施工参数数据的平均值的关系就会显见。示例地,将上述的55口水平井分为32类时,可得到水平井压裂长度与峰值平均日产量的关系如图5所示。同样地,也可分别确定其他参数与峰值平均日产量之间的关系图。根据各个参数与峰值平均日产量之间的关系图,可确定每个关系图中“最大直线段”的斜率,且直线的斜率可表示每个参数对产量的影响大小,从而可根据斜率确定影响已压裂水平井产量的主控参数。When the number of horizontal well categories is increased, the relationship between the average value of peak average daily production in each category analyzed, the average value of geological parameter data, and the average value of fracturing construction parameter data will become apparent. For example, when the above-mentioned 55 horizontal wells are divided into 32 types, the relationship between the fracturing length of the horizontal well and the peak average daily production can be obtained as shown in Figure 5. Similarly, the relationship between other parameters and peak average daily output can also be determined separately. According to the relationship diagram between each parameter and the peak average daily output, the slope of the “maximum straight line segment” in each diagram can be determined, and the slope of the straight line can indicate the impact of each parameter on the output, so that the impact can be determined according to the slope Main control parameters for the production of fractured horizontal wells.
具体地,可包括以下步骤:Specifically, it may include the following steps:
步骤1051,分别将地质参数数据的平均值和压裂施工参数数据的平均值进行归一化处理。Step 1051: Normalize the average value of the geological parameter data and the average value of the fracturing construction parameter data respectively.
归一化是一种标准化方式,即将有量纲的表达式,经过变换,化为无量纲的表达式,成为标量,从而使物理系统数值的绝对值变成某种相对值关系。在本发明实施例中,为了便于直线斜率之间进行比较,以确定主控参数,需要标准化分析参数。Normalization is a way of standardization, that is, a dimensional expression is transformed into a non-dimensional expression and becomes a scalar, so that the absolute value of the physical system value becomes a relative value relationship. In the embodiment of the present invention, in order to facilitate the comparison between the slopes of the straight lines to determine the main control parameters, it is necessary to standardize the analysis parameters.
示例地,可根据
Figure PCTCN2020081024-appb-000004
对参数进行标准化。
For example, according to
Figure PCTCN2020081024-appb-000004
Standardize the parameters.
其中,N为某个具体分析参数,如已压裂水平井长度;N min为某个具体分析参数的最小值,如已压裂水平井长度最小值;N max为某个具体分析参数的最大值,如已压裂水平井长度最大值,N nor为标准化后的参数,如标准化的已压裂水平井长度。 Among them, N is a specific analysis parameter, such as the length of a fractured horizontal well; N min is the minimum value of a specific analysis parameter, such as the minimum length of a fractured horizontal well; N max is the maximum value of a specific analysis parameter Value, such as the maximum length of a fractured horizontal well, N nor is a standardized parameter, such as the standardized length of a fractured horizontal well.
步骤1052,在平面直角坐标系下绘制y-x的关系曲线,其中,y为峰值平均日产量的平均值,x为归一化处理后的地质参数数据的平均值或压裂施工参数数据的平均值。Step 1052: Draw a yx relationship curve in a rectangular coordinate system, where y is the average value of the peak average daily output, and x is the average value of the normalized geological parameter data or the average value of the fracturing construction parameter data .
以上述的水平井长度与峰值平均日产量的关系为例,标准化处理后的水平井压裂长度与峰值平均日产量之间的关系如图6所示。Taking the above-mentioned relationship between the length of a horizontal well and the peak average daily production as an example, the relationship between the fracturing length of the horizontal well and the peak average daily production after standardized treatment is shown in Figure 6.
步骤1053,分别计算y-x的关系曲线中,最大直线段的斜率。Step 1053: Calculate the slope of the largest straight line segment in the y-x relationship curve respectively.
斜率的求取原则如下:在y-x的关系曲线中,选取一个近似为最大直线段的直线,利用线性回归求其斜率的值。所谓“最大直线段”需满足:①最大可能地体现出数据的变化趋势;②该最大直线段有足够多的数据。如图7所示,图7为利用线性回归方法求取斜率的示意图,标准化的水平井压裂长度x与峰值平均日产量y的关系为:y=22.682x+0.8198,拟合优度R 2为0.9595。 The principle of obtaining the slope is as follows: in the yx relationship curve, select a straight line that is approximately the largest straight line segment, and use linear regression to find the value of its slope. The so-called "maximum straight line segment" needs to meet: ①The greatest possible reflection of the changing trend of the data; ②The maximum straight line segment has enough data. As shown in Figure 7, Figure 7 is a schematic diagram of using the linear regression method to obtain the slope. The relationship between the standardized horizontal well fracturing length x and the peak average daily production y is: y=22.682x+0.8198, goodness of fit R 2 Is 0.9595.
步骤1054,根据斜率的大小,确定影响已压裂水平井产量的主控参数。Step 1054: Determine the main control parameters that affect the production of the fractured horizontal well according to the magnitude of the slope.
可以理解的是,分析参数与峰值平均日产量关系图的斜率可反应该参数对产量影响程度的大小,且所求的斜率越大则表明该参数对峰值平均日产量影响越大。依次求取斜率即可得到参数对峰值平均日产量的影响程度示意图,如图8所示,图8示出了上述55口致密油藏压裂水平井的参数对峰值平均日产量的影响程度示意图,进而可根据该影响程度示意图确定影响影响致密油藏压裂水平井产量的主控参数,在一种可能的实施方式中,可确定主控参数包括:油层平均厚度、水平井长度(压裂长度)、水平井压裂段数、水平井压裂簇数、单段平均砂量、单段平均液量和总排量。It is understandable that the slope of the relationship between the analysis parameter and the peak average daily output can reflect the magnitude of the influence of the parameter on the output, and the greater the slope obtained, the greater the influence of the parameter on the peak average daily output. Obtain the slopes in turn to get a schematic diagram of the influence of the parameters on the peak average daily production, as shown in Figure 8, which shows the influence of the parameters of the above 55 tight reservoir fractured horizontal wells on the peak average daily production. , And then can determine the main control parameters that affect the production of fracturing horizontal wells in tight oil reservoirs according to the schematic diagram of the influence degree. In a possible implementation, the main control parameters that can be determined include: the average thickness of the reservoir, the length of the horizontal well (fracturing Length), the number of fracturing sections of horizontal wells, the number of fracturing clusters of horizontal wells, the average sand volume of a single stage, the average liquid volume of a single stage and the total displacement.
对于步骤106、根据已压裂水平井的峰值平均日产量和主控参数数据,利用回归分析法建立峰值平均日产量预测模型。For step 106, according to the peak average daily production and main control parameter data of the fractured horizontal well, a regression analysis method is used to establish a peak average daily production prediction model.
回归分析法是在掌握大量观察数据的基础上,利用数理统计方法建立因变量与自变量之间的回归关系函数表达式。在本发明实施例中,根据所确定的主控参数和已压裂水平井的峰值平均日产量,可利用回归分析法建立峰值平均日产量与主控参数之间的回归关系函数表达式,即为峰值平均日产量预测模型。Regression analysis method is based on mastering a large amount of observation data, using mathematical statistics to establish the regression relationship function expression between the dependent variable and the independent variable. In the embodiment of the present invention, based on the determined main control parameters and the peak average daily production of fractured horizontal wells, regression analysis can be used to establish the regression relationship function expression between the peak average daily production and the main control parameters, namely For the peak average daily output forecast model.
以上述55口井为例,根据确定的主控参数和已压裂水平井的峰值平均日产量,可得到峰值平均日产量预测模型为:Taking the above 55 wells as an example, based on the determined main control parameters and the peak average daily production of fractured horizontal wells, the peak average daily production prediction model can be obtained as:
Figure PCTCN2020081024-appb-000005
Figure PCTCN2020081024-appb-000005
其中:y为峰值平均日产量(t/d);x 1为油层平均厚度(m);x 2为水平井长度(m);x 3为水平井压裂段数;x 4为水平井压裂簇数;x 5为单段平均砂量(m 3);x 6为单段平均液量(m 3);x 7为总排量(m 3/min)。 Among them: y is the peak average daily production (t/d); x 1 is the average thickness of the reservoir (m); x 2 is the length of the horizontal well (m); x 3 is the number of horizontal well fracturing sections; x 4 is the horizontal well fracturing Number of clusters; x 5 is the average sand volume of a single stage (m 3 ); x 6 is the average liquid volume of a single stage (m 3 ); x 7 is the total displacement (m 3 /min).
进一步地,利用该峰值平均日产量预测模型对该区块其他水平井进行预测,得到针对长庆油田某区块W3-W12井的预测的峰值平均日产量和实际的峰值平均日产量对比图,如图9所示,且通过计算预测值与实际值相比的评价相对误差为7.6%,表明通过该模型预测峰值平均日产量比较可靠,该模型能够用于快速预测峰值平均日产量。Furthermore, using the peak average daily production prediction model to predict other horizontal wells in the block, a comparison chart of the predicted peak average daily production and the actual peak average daily production for wells W3-W12 in a block of Changqing Oilfield is obtained. As shown in Figure 9, and the evaluation relative error of the calculated predicted value compared with the actual value is 7.6%, indicating that the peak average daily output predicted by the model is relatively reliable, and the model can be used to quickly predict the peak average daily output.
步骤107、根据峰值平均日产量预测模型,预测待压裂水平井的产能。Step 107: Predict the productivity of the horizontal well to be fractured according to the peak average daily production prediction model.
投产前期的日产量是油井产能的重要指标,能够直接用于评价油井产能。The daily output in the early stage of production is an important indicator of the productivity of an oil well and can be directly used to evaluate the productivity of an oil well.
进一步地,通过对鄂尔多斯盆地长庆油田25口致密油水平井的峰值平均日产量与四年累产的关系做了相关性分析,结果表明峰值平均日产量与四年累产有很好的线性关系,拟合优度接近0.9,由此说明,可根据峰值平均日产量(预测模型),预测待压裂水平井的产能。Furthermore, through the correlation analysis of the relationship between the peak average daily production and the four-year cumulative production of 25 tight oil horizontal wells in the Changqing Oilfield of the Ordos Basin, the results show that the peak average daily production has a good linear relationship with the four-year cumulative production. , The goodness of fit is close to 0.9, which shows that the productivity of horizontal wells to be fractured can be predicted based on the peak average daily production (prediction model).
以上所述仅是为了便于本领域的技术人员理解本发明的技术方案,并不用以限制本发明。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The foregoing description is only for the convenience of those skilled in the art to understand the technical solutions of the present invention, and is not intended to limit the present invention. Any modification, equivalent replacement, improvement, etc., made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
应该明白,公开的过程中的步骤的特定顺序或层次是示例性方法的实例。基于设计偏好,应该理解,过程中的步骤的特定顺序或层次可以在不脱离本公开的保护范围的情况下得到重新安排。所附的方法权利要求以示例性的顺序给出了各种步骤的要素,并且不是要限于所述的特定顺序或层次。It should be understood that the specific order or hierarchy of steps in the disclosed process is an example of an exemplary method. Based on design preferences, it should be understood that the specific order or hierarchy of steps in the process can be rearranged without departing from the scope of protection of the present disclosure. The accompanying method claims present elements of the various steps in an exemplary order and are not intended to be limited to the specific order or hierarchy described.
在上述的详细描述中,各种特征一起组合在单个的实施方案中,以简化本公开。不应该将这种公开方法解释为反映了这样的意图,即,所要求保护的主题的实施方案需要清楚地在每个权利要求中所陈述的特征更多的特征。相反,如所附的权利要求书所反映的那样,本发明处于比所公开的单个实施方案的全部特征少的状态。因此,所附的权利要求书特此清楚地被并入详细描述中,其中每项权利要求独自作为本发明单独的优选实施方案。In the above detailed description, various features are combined together in a single embodiment to simplify the present disclosure. This method of disclosure should not be interpreted as reflecting the intention that the implementation of the claimed subject matter needs to clearly state more features in each claim. On the contrary, as reflected in the appended claims, the present invention is in a state with fewer features than the disclosed single embodiment. Therefore, the appended claims are hereby clearly incorporated into the detailed description, with each claim standing alone as a separate preferred embodiment of the present invention.
本领域技术人员还应当理解,结合本文的实施例描述的各种说明性的逻辑框、模块、电路和算法步骤均可以实现成电子硬件、计算机软件或其组合。为了清楚地说明硬件和软件之间的可交换性,上面对各种说明性的部件、框、模块、电路和步骤均围绕其功能进行了一般地描述。至于这种功能是实现成硬件还是实现成软件,取决于特定的应用和对整个系统所施加的设计约束条件。熟练的技术人员可以针对每个特定应用,以变通的方式实现所描述的功能,但是,这种实现决策不应解释为背离本公开的保护范围。Those skilled in the art should also understand that the various illustrative logical blocks, modules, circuits, and algorithm steps described in conjunction with the embodiments herein can all be implemented as electronic hardware, computer software, or a combination thereof. In order to clearly illustrate the interchangeability between hardware and software, various illustrative components, blocks, modules, circuits, and steps are described above generally around their functions. As for whether this function is implemented as hardware or as software, it depends on the specific application and the design constraints imposed on the entire system. Skilled technicians can implement the described functions in a flexible manner for each specific application, but this implementation decision should not be interpreted as a departure from the protection scope of the present disclosure.
上文的描述包括一个或多个实施例的举例。当然,为了描述上述实施例而描述部件或方法的所有可能的结合是不可能的,但是本领域普通技术人员应该认识到,各个实施例可以做进一步的组合和排列。因此,本文中描述的实施例旨在涵盖落入所附权利要求书的保护范围内的所有这样的改变、修改和变型。此外,就说明书或权利要求书中使用的术语“包含”,该词的涵盖方式类似于术语“包括”,就如同“包括,”在权利要求中用作衔接词所解释的那样。此外,使用在权利要求书的说明书中的任何一个术语“或者”是要表示“非排它性的或者”。The foregoing description includes examples of one or more embodiments. Of course, it is impossible to describe all possible combinations of components or methods in order to describe the above-mentioned embodiments, but those of ordinary skill in the art should realize that the various embodiments can be further combined and arranged. Therefore, the embodiments described herein are intended to cover all such changes, modifications and variations that fall within the protection scope of the appended claims. In addition, with regard to the term "comprising" used in the specification or claims, the coverage of this word is similar to the term "including", just as "including," is explained as an adaptor in the claims. In addition, any term "or" used in the description of the claims is intended to mean a "non-exclusive or".

Claims (6)

  1. 一种用于致密油藏压裂水平井的产能预测方法,其特征在于,包括以下步骤:A productivity prediction method for fractured horizontal wells in tight oil reservoirs is characterized in that it includes the following steps:
    获取致密油藏已压裂水平井的日产量数据、地质参数数据和压裂施工参数数据;Obtain daily production data, geological parameter data and fracturing construction parameter data of fractured horizontal wells in tight oil reservoirs;
    根据所述日产量数据,计算所述已压裂水平井的峰值平均日产量,根据所述峰值平均日产量,基于模糊集合确定所述已压裂水平井的分类;According to the daily production data, calculate the peak average daily production of the fractured horizontal well, and determine the classification of the fractured horizontal well based on the fuzzy set according to the peak average daily production;
    分别计算每种分类中对应的已压裂水平井的所述峰值平均日产量的平均值、所述地质参数数据的平均值以及所述压裂施工参数数据的平均值;Calculate the average value of the peak average daily production, the average value of the geological parameter data, and the average value of the fracturing construction parameter data of the corresponding fractured horizontal wells in each category;
    根据所述峰值平均日产量的平均值、所述地质参数数据的平均值和所述压裂施工参数数据的平均值,确定影响所述已压裂水平井产量的主控参数,所述主控参数包括所述地质参数数据和/或所述压裂施工参数数据中的至少一项;According to the average value of the peak average daily production, the average value of the geological parameter data, and the average value of the fracturing construction parameter data, determine the main control parameters that affect the production of the fractured horizontal well, and the main control The parameter includes at least one of the geological parameter data and/or the fracturing construction parameter data;
    根据所述已压裂水平井的峰值平均日产量和所述主控参数,基于回归分析法建立峰值平均日产量预测模型;According to the peak average daily production rate of the fractured horizontal well and the main control parameters, establish a peak average daily production prediction model based on regression analysis;
    根据所述峰值平均日产量预测模型,预测待压裂水平井的产能。According to the peak average daily production prediction model, the production capacity of the horizontal well to be fractured is predicted.
  2. 根据权利要求1所述的产能预测方法,其特征在于,所述地质参数包括所述已压裂水平井对应的油层的平均厚度、孔隙度、渗透率和含水饱和度;所述压裂施工参数包括所述已压裂水平井的压裂长度、压裂段数、单段平均砂量、单段平均液量、总排量和压裂簇数。The productivity prediction method according to claim 1, wherein the geological parameters include the average thickness, porosity, permeability and water saturation of the oil layer corresponding to the fractured horizontal well; the fracturing operation parameters It includes the fracturing length, the number of fractured sections, the average sand volume of a single section, the average liquid volume of a single section, the total displacement and the number of fracturing clusters of the fractured horizontal well.
  3. 根据权利要求1所述的产能预测方法,其特征在于,所述根据所述日产量数据,计算所述已压裂水平井的峰值平均日产量,包括:The productivity prediction method according to claim 1, wherein the calculation of the peak average daily production of the fractured horizontal well according to the daily production data comprises:
    根据所述日产量数据,计算所述已压裂水平井投产后每个月份的月平均日产量;根据所述月平均日产量,确定所述已压裂水平井的连续峰值产量月份;根据所述连续峰值产量月份,计算所述已压裂水平井的峰值平均日产量。According to the daily production data, calculate the monthly average daily production of each month after the fractured horizontal well is put into production; according to the monthly average daily production, determine the continuous peak production month of the fractured horizontal well; For the consecutive peak production months, calculate the peak average daily production of the fractured horizontal well.
  4. 根据权利要求1所述的产能预测方法,其特征在于,所述根据所述峰值平均日产量,基于模糊集合理论确定所述已压裂水平井的分类,包括:The productivity prediction method according to claim 1, wherein the determining the classification of the fractured horizontal well based on the fuzzy set theory according to the peak average daily production comprises:
    根据所述峰值平均日产量,确定区间[b,a],将所述区间[b,a]进行若干等分,且使等分后的区间分别向左右两边扩大设定值,得到若干个两两重叠的模糊集合U,若干个所述模糊集合U对应将所述致密油藏压裂水平井分为若干类,其中,b表示所述峰值平均日产量的最小值,a表示所述峰值平均日产量的最大值。According to the peak average daily output, determine the interval [b, a], divide the interval [b, a] into several equal parts, and expand the set values to the left and right sides of the equalized interval to obtain several two Two overlapping fuzzy sets U. Several of the fuzzy sets U correspondingly divide the tight reservoir fractured horizontal wells into several categories, where b represents the minimum value of the peak average daily production, and a represents the peak average The maximum daily output.
  5. 根据权利要求4所述的产能预测方法,其特征在于,所述模糊集合U为:The production capacity prediction method according to claim 4, wherein the fuzzy set U is:
    Figure PCTCN2020081024-appb-100001
    Figure PCTCN2020081024-appb-100001
    其中,n是所述区间[a,b]的等分个数,j为等分区间的序号,j=1,2,3…;e为常数。Wherein, n is the number of equal divisions in the interval [a, b], j is the serial number between equal divisions, j=1, 2, 3...; e is a constant.
  6. 根据权利要求2所述的产能预测方法,其特征在于,所述根据所述峰值平均日产量的平均值、所述地质参数数据的平均值和所述压裂施工参数数据的平均值,确定影响所述已压裂水平井产量的主控参数,包括:The production capacity prediction method according to claim 2, wherein said determining the impact according to the average value of the peak average daily production, the average value of the geological parameter data and the average value of the fracturing construction parameter data The main control parameters of the production of the fractured horizontal well include:
    分别将所述地质参数数据的平均值和所述压裂施工参数数据的平均值进行归一化处理;在平面直角坐标系下绘制y-x的关系曲线,其中,所述y为所述峰值平均日产量的平均值,所述x为归一化处理后的所述地质参数数据的平均值或所述压裂施工参数数据的平均值;分别计算所述y-x的关系曲线中,最大直线段的斜率;根据所述斜率的大小,确定影响所述致密油藏压裂水平井产量的主控参数。The average value of the geological parameter data and the average value of the fracturing construction parameter data are respectively normalized; the relationship curve of yx is drawn in a rectangular coordinate system, where y is the peak average daily The average value of the production, where x is the average value of the normalized geological parameter data or the average value of the fracturing construction parameter data; respectively calculate the slope of the maximum straight line segment in the yx relationship curve ; According to the size of the slope, determine the main control parameters that affect the production of the tight reservoir fractured horizontal well.
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