CN111209666B - Design method for determining radial water jet branch length of balanced plane displacement - Google Patents
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Abstract
The invention relates to the technical field of oilfield development, in particular to an optimal design method for determining the branch length of radial water jet flow for balanced plane displacement. The optimal design method comprises the following steps: 1) Splitting the fine geologic model of the work area into a plurality of geologic models with the same number of small layers, and obtaining flow distribution coefficients of all small layers; 2) Calculating theoretical liquid production intensity under heterogeneous conditions according to the heterogeneous conditions of the reservoir; 3) Screening radial water jet single wells; 4) The radial water jet branch length of the optimal balanced planar displacement is optimized. The method can make the plane displacement of the multi-oil layer oil reservoir more balanced.
Description
Technical Field
The invention relates to the technical field of oilfield development, in particular to an optimal design method for determining the branch length of radial water jet flow for balanced plane displacement.
Background
The radial water jet drilling technology can be communicated with a passage from a stratum to a shaft, penetrate a polluted area near the shaft, improve the permeability of the stratum, reduce the seepage resistance of the surrounding area of the shaft, and finally increase the yield of a production well and the water injection quantity of a water injection well.
Some wells in the low permeability oil field have low yield, and the conventional measures such as fracturing and acidizing have insignificant effects and small treatment potential. The radial water jet drilling technology can be used for directionally drilling holes in the stratum, so that the stratum permeability is improved, the seepage resistance of the surrounding area of the shaft is reduced, and accordingly the oil well yield and the water injection rate of the water injection well can be improved, and the research on the radial water jet drilling technology and the well pattern adaptation optimization has important significance. Li Kun adopts a numerical simulation technology to research the seepage characteristics of radial water jet, on the basis, a Green function, a Newman product and a potential superposition principle are used for deducing a productivity formula under the condition of a single well, and a yield and injection mechanism is analyzed. And researching influence factors and policy limits of geological factors, development factors, radial water jet design parameters and the like on the development effect. And determining a technical limit well spacing and an economic limit well spacing, and optimizing and determining an adaptive well pattern according to a matching mode of radial water jet and a well pattern form.
Through researches, the pressure drop loss can be reduced by radial drilling, the radial flow is changed into linear flow, and the effective permeability of the stratum and the degree of well pattern utilization are increased. The five-point well pattern is developed, and the drilling direction is parallel to the well array; by adopting a nine-point well pattern form, the drilling direction and the well arrangement form an included angle of 45 degrees, and the research result provides reliable technical support for the popularization and application of radial water jet in low-permeability reservoirs in the future.
The low-permeability oil reservoir in the winning oil zone has rich resources, but has poor quality of the oil reservoir and strong plane heterogeneity, so that the phenomenon of unbalanced plane displacement is serious, and aiming at the phenomenon of unbalanced plane displacement of the multi-oil reservoir, radial water jet is mainly applied to the field to perform streamline allocation, but a streamline layering display method is not provided, and the research of developing the optimal design of the branch length of the radial water jet into a more systematic way is not provided.
Disclosure of Invention
The invention aims to provide a streamline layered display method, and an optimal design method for balancing the radial water jet branch length of plane displacement is developed on the basis of the streamline layered display method.
In order to achieve the above purpose, the present invention adopts the following technical scheme: an optimal design method for determining the branch length of radial water jet flow for balancing plane displacement comprises the following steps:
1) Splitting the fine geologic model of the work area into a plurality of geologic models with the same number of small layers, and obtaining flow distribution coefficients of all small layers;
2) Calculating theoretical liquid production intensity under heterogeneous conditions according to the heterogeneous conditions of the reservoir;
3) Screening radial water jet single wells;
4) The radial water jet branch length of the optimal balanced planar displacement is optimized.
Preferably, the specific method of the step 1) is as follows:
① Splitting the model into geological models with the same number of layers as the small number of layers by taking a longitudinal grid where the interlayer is positioned as a boundary according to the layering condition of the model;
② The historical oil-water well data of the work area numerical model are led out according to net outflow conditions, oil production and water production are positive values, water injection rate is negative values, the historical data are sorted according to longitudinal small-layer grid division conditions, and historical data files with the same number as the small layers are formed;
③ Dividing perforation data of the work area numerical model into perforation data files with the same number as that of small layers by taking a longitudinal grid where the interlayer is positioned as a boundary;
④ And respectively importing the sorted historical data files and perforation data files of each small layer into corresponding geological models of the small layers to form streamline models of the small layers, so as to obtain flow distribution coefficients of the oil wells corresponding to the small layers and the water wells.
Preferably, the model is divided into 4 small layers, 1 small layer longitudinal 1-9 grids, 2 small layer longitudinal 11-21 grids, 3 small layer longitudinal 23-27 grids, 4 small layer longitudinal 29-34 grids;
preferably, the longitudinal grid in which the barrier is located is a longitudinal 10, 22, 28 grid.
Preferably, the calculating method of the theoretical liquid sampling strength under the heterogeneous condition in the step 2) is as follows:
(1) Drawing a theoretical curve of the dimensionless liquid production index changing along with the water content by utilizing an oil-water relative permeability curve of a work area to obtain a theoretical dimensionless liquid production index corresponding to the current water content condition;
(2) Counting the average daily liquid yield of the single well in the initial stage of the work area, and obtaining the product of the average daily liquid yield and the theoretical dimensionless liquid production index under the current water-containing condition, namely the theoretical single well liquid yield under the current water-containing condition; the ratio of the theoretical single well liquid amount to the average jet effective thickness is the theoretical liquid collecting intensity.
(3) Establishing a non-homogeneity theoretical model, and carrying out weighted average on physical properties to establish a homogeneity theoretical model; defining the daily liquid yield ratio of the heterogeneous theoretical model to the homogeneous theoretical model as an interference coefficient;
(4) The product of the theoretical dimensionless liquid sampling index and the interference coefficient under the current water-containing condition is the theoretical liquid sampling intensity under the heterogeneous condition.
Preferably, the formula for calculating the dimensionless oil recovery index α o is:
Wherein K ro(Sw) -oil phase relative permeabilities at different water saturation S w; k romax -relative permeability of the oil phase at irreducible water saturation S wi; absolute permeability of oil layer at K-f w =0; k w -absolute permeability of oil layer with water f w;
Preferably, let k=k w,
The calculation formula of the dimensionless liquid extraction index alpha l is as follows:
wherein,
Wherein K ro -the relative permeabilities of the oil phases at different water saturation levels S w; k rw —relative permeability of aqueous phase at different water saturation S w; mu o -crude oil viscosity under formation conditions; mu w -water viscosity under formation conditions.
Preferably, the screening method of the radial water jet single well in the step 3) comprises the following steps: comparing the actual liquid production intensity with the theoretical liquid production intensity, wherein the oil well with the actual liquid production intensity smaller than the theoretical liquid production intensity is the radial water jet oil well which is screened out;
Preferably, the actual production fluid strength is the ratio of the production fluid volume of the small layer model oil well to the injection effective thickness of the oil well in the model.
Preferably, step 4) optimizing the radial water jet branch length for optimal balanced planar displacement comprises the steps of:
S1, according to the formation of a layered streamline, the distribution condition of the layered streamline and the flooding propulsion condition can be displayed, and the radial water jet branch direction is determined along the parallel waterline propulsion direction;
s2, obtaining flow distribution coefficients according to branches 20, 40, 60, 80 and 100m respectively according to the limit of 100m of the maximum radial water jet branch which can be realized by the process;
S3, calculating a shunt value curve;
s4, calculating the saturation of the recoverable residual oil of each oil well;
s5, taking the ratio of the product (Kh.S or) of the stratum coefficient of each oil well and the saturation of the recoverable residual oil to the flow distribution coefficient as a parameter, and when the level difference is minimum, obtaining the corresponding radial water jet branch length which is the optimal length of the radial water jet branch for planar balanced displacement through optimization.
Preferably, the aqueous phase split formula is:
Wherein K ro -the relative permeabilities of the oil phases at different water saturation levels S w; k rw —relative permeability of aqueous phase at different water saturation S w; mu o -crude oil viscosity under formation conditions; mu w -water viscosity under formation conditions; a-regression coefficient B-regression coefficientS w -water saturation.
Preferably, the remaining oil saturation calculation formula is:
Syor＝(1-Sor)-(1-Sfw)＝Sfw-Sor
wherein S yor -the saturation of recoverable oil; s or, residual oil saturation; s fw -the saturation of water under the current water conditions; wherein S fw can be obtained using a split-flow curve based on the current water conditions of each well.
Compared with the prior art, the invention has the following advantages:
The invention realizes the display of the layering streamline, determines the flow distribution coefficient by layering, considers the influence of the non-uniformity on the productivity, aims at simultaneously completing the displacement of all the movable residual oil, furthest reduces the invalid water circulation and realizes the final displacement balance.
Drawings
FIG. 1 is a technical roadmap for layered streamline formation in accordance with an embodiment of the invention.
Fig. 2 is a theoretical liquid production intensity technical roadmap in accordance with an embodiment of the invention.
FIG. 3 is a schematic view of a global streamline distribution of a work area according to an embodiment of the present invention.
FIG. 4 is a schematic view of a distribution of industrial differential layer streamlines according to an embodiment of the invention.
FIG. 5 is a graph of oil-water relative permeability for an embodiment of the present invention.
Fig. 6 is a theoretical plot of the dimensionless fluid production index as a function of water content for an embodiment of the present invention.
FIG. 7 is a schematic diagram of a heterogeneous model according to an embodiment of the present invention.
FIG. 8 is a non-flow chart of an embodiment of the present invention.
FIG. 9 is a schematic diagram of the radial water jet implementation of the present invention with front and back streamline variation.
Detailed Description
It should be noted that the following detailed description is exemplary and is intended to provide further explanation of the invention. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the present invention. As used herein, the singular forms also are intended to include the plural forms unless the context clearly indicates otherwise, and furthermore, it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, and/or combinations thereof.
In order to enable those skilled in the art to more clearly understand the technical scheme of the present invention, the technical scheme of the present invention will be described in detail with reference to specific embodiments.
Examples
An optimal design method for determining the branch length of radial water jet flow for balancing plane displacement comprises the following steps:
1) Splitting the fine geologic model of the work area into a plurality of geologic models with the same small layers, and obtaining flow distribution coefficients of all the small layers, wherein the method comprises the following steps:
① Splitting the model into 4 small geological models by taking the longitudinal grids of the interlayer (the longitudinal 10, 22 and 28 grids) as boundaries according to the layering condition of the model (1 small longitudinal 1-9 grids, 2 small longitudinal 11-21 grids, 3 small longitudinal 23-27 grids and 4 small longitudinal 29-34 grids);
② The historical oil-water well data of the work area numerical model are led out according to net outflow conditions of grids, oil production and water production are positive values, water injection rate is negative values, the historical data are sorted according to longitudinal small-layer grid division conditions, and 4 small-layer historical data files are formed;
③ Dividing perforation data of the work area numerical model into 4 small-layer perforation data files by taking a longitudinal grid where the interlayer is positioned as a boundary;
④ And respectively importing the sorted 4 historical data files and the 4 perforation data files into 4 small-layer geological models to form a streamline model of 4 small layers (figure 4), so as to obtain flow distribution coefficients (table 1-table 4) of oil wells corresponding to the small layers and the water wells.
Table 11 small-flow distribution coefficient
Table 22 small-flow distribution coefficient
Table 33 small-flow distribution coefficient
Table 44 small-flow distribution coefficient
2) According to the heterogeneous condition of the reservoir, calculating the theoretical liquid production intensity, comprising the following steps:
① The theoretical curve of dimensionless liquid production index with water content is drawn by utilizing the oil-water relative permeability curve of a work area (figure 5) and the oil reservoir parameters under stratum conditions (figure 6).
The formula for calculating the dimensionless oil recovery index α o is:
Wherein K ro(Sw) -oil phase relative permeabilities at different water saturation S w;
K romax -relative permeability of the oil phase at irreducible water saturation S wi;
absolute permeability of oil layer at K-f w =0;
k w -absolute permeability of oil layer with water f w.
Here, let k=k w, regardless of the change in absolute permeability during water flooding, the above formula becomes:
The calculation formula of the dimensionless liquid extraction index alpha l is as follows:
wherein,
Wherein K ro -the relative permeabilities of the oil phases at different water saturation levels S w;
k rw —relative permeability of aqueous phase at different water saturation S w;
Mu o -crude oil viscosity under formation conditions; in this example, mu o was 0.96 mPas;
Mu w -the viscosity of water under formation conditions, mu w in this example being 0.30 mPas.
② And (3) counting the average daily liquid yield of the single well in the initial stage of the work area, and multiplying the average daily liquid yield by 0.64 of the theoretical dimensionless liquid production index under the condition of 18.3% of the current water content to obtain the theoretical single well liquid yield of 8.1m 3/d under the condition of the current water content. The ratio of the theoretical single well liquid amount to the average jet effective thickness is the theoretical liquid collecting intensity.
The formula for calculating the theoretical liquid production intensity L st of the current underwater oil well is as follows:
Wherein q l is the average daily liquid production of the oil well, and the size of q l in the embodiment is 8.1m 3/d;
h-average effective oil well injection thickness, which is 6.3m in this example.
The theoretical liquid production intensity of the oil well under the current water-containing condition is 1.29m 3/(d.m).
③ Establishing a theoretical model of planar homogeneous longitudinal inhomogeneity according to the interlayer inhomogeneity (table 5 and fig. 7); based on the establishment of a non-homogeneity theoretical model, establishing a homogeneity theoretical model for each small layer physical property weighted average value, wherein the effective thickness h=h 1+h2+h3+h4 =10.1m of the homogeneity model; permeability k= (K 1h1+K2h2+K3h3+K4h4)/h=28.5 md.
TABLE 5 statistical tables of model physical properties and effective thickness
And respectively calculating the daily liquid capacities of the heterogeneous model and the homogeneous model by using numerical simulation software ecllipse to respectively 8.2t/d and 6.4t/d, wherein the interference coefficient is 0.78.
④ The product of the theoretical liquid production intensity of the oil well under the current water-containing condition of 1.29m 3/(d.m) and the interference coefficient of 0.78 is the theoretical liquid production intensity of 1.0m 3/(d.m).
3) Screening radial water jet single wells, comprising the following steps:
① The ratio of the liquid yield of the oil well of the small-layer model to the injection effective thickness of the oil well in the model is used for obtaining the actual liquid production intensity of the oil well in each small layer (table 6);
TABLE 6 statistical table of actual fluid production intensity for oil well at each small layer
② And comparing the actual liquid production intensity with the theoretical liquid production intensity, wherein the oil well horizon of which the actual liquid production intensity is smaller than the theoretical liquid production intensity by 1.0m 3/(d.m) is the radial water jet oil well horizon which is screened out.
4) Optimizing the radial water jet branch length of the optimal balanced planar displacement, comprising the steps of:
① Taking the group of 1-layer water well L87 well as an example, the well region relates to the 3 ports of the oil well, namely L87-X11, L87-X12 and L87-X2 wells. The actual liquid production intensity of the L87-X2 well is only 0.35m 3/(t.d), the liquid production intensity of the well needs to be improved by utilizing radial water jet flow, and plane displacement is balanced.
② According to the formation of the layered streamline, the distribution condition and the flooding propulsion condition of the layered streamline can be displayed, and the radial water jet branch direction NE30 degrees is determined along the parallel waterline propulsion direction;
③ Obtaining flow distribution coefficients according to branches 20, 40, 60, 80 and 100m respectively (table 7) according to the limit of the maximum radial water jet branch 100m achievable by the process;
TABLE 7 statistics of different length branch flow distribution coefficients
④ Calculating a shunt volume curve
The water content calculation formula is:
Since the oil-water two-phase relative permeability ratio is expressed as a function of water saturation, namely:
The method comprises the following steps: the water content f w, namely the water phase shunt volume curve under different water saturation degrees S w can be obtained by combining the relative permeability data.
⑤ Calculating the saturation of the recoverable oil of each oil production well, namely:
Syor＝(1-Sor)-(1-Sfw)＝Sfw-Sor
Wherein S yor is the fraction of the saturation of recoverable oil;
S or, residual oil saturation, decimal;
s fw -the water saturation, fractional number, under current water conditions.
Wherein S fw can be obtained using a split-flow curve based on the current water conditions of each well.
⑥ Taking the product of the formation coefficients of each well and the saturation of the recoverable oil (kh.s yor) (table 8) and the ratio of the flow distribution coefficients (defined as dimensionless equalization coefficients) as parameters (table 9), the step difference is minimum and is only 1.51 when the branch length is 80m, and the plane displacement is most balanced (fig. 8).
TABLE 8 statistics of oil well formation coefficients and recoverable oil saturation
Table 9 statistics of dimensionless equalization coefficients for each well
The above examples are preferred embodiments of the present invention, but the embodiments of the present invention are not limited to the above examples, and any other changes, modifications, substitutions, combinations, and simplifications that do not depart from the spirit and principle of the present invention should be made in the equivalent manner, and the embodiments are included in the protection scope of the present invention.
Claims (6)
1. An optimal design method for determining the branch length of radial water jet flow for equalizing plane displacement is characterized by comprising the following steps:
1) Splitting the fine geologic model of the work area into a plurality of geologic models with the same number of small layers, and obtaining flow distribution coefficients of all small layers;
2) Calculating theoretical liquid production intensity under heterogeneous conditions according to the heterogeneous conditions of the reservoir;
3) Screening radial water jet single wells;
4) Optimizing the optimal radial water jet branch length for balanced planar displacement;
The specific method of the step 1) is as follows:
① Splitting the model into geological models with the same number of layers as the small number of layers by taking a longitudinal grid where the interlayer is positioned as a boundary according to the layering condition of the model;
② The historical oil-water well data of the work area numerical model are led out according to net outflow conditions, oil production and water production are positive values, water injection rate is negative values, the historical data are sorted according to longitudinal small-layer grid division conditions, and historical data files with the same number as the small layers are formed;
③ Dividing perforation data of the work area numerical model into perforation data files with the same number as that of small layers by taking a longitudinal grid where the interlayer is positioned as a boundary;
④ Respectively importing the sorted historical data files and perforation data files of all the small layers into corresponding small-layer geological models to form streamline models of all the small layers, so as to obtain flow distribution coefficients of the oil wells corresponding to all the small layers and the water wells;
The model is divided into 4 small layers, 1 small layer of longitudinal 1-9 grids, 2 small layer of longitudinal 11-21 grids, 3 small layer of longitudinal 23-27 grids and 4 small layer of longitudinal 29-34 grids;
the screening method of the radial water jet single well in the step 3) comprises the following steps: comparing the actual liquid production intensity with the theoretical liquid production intensity, wherein the oil well with the actual liquid production intensity smaller than the theoretical liquid production intensity is the radial water jet oil well which is screened out;
The actual liquid production intensity is the ratio of the liquid production amount of the small-layer model oil well to the injection effective thickness of the oil well in the model;
step 4) optimizing the radial water jet branch length of the optimal balanced planar displacement, comprising the steps of:
S1, according to the formation of a layered streamline, the distribution condition of the layered streamline and the flooding propulsion condition can be displayed, and the radial water jet branch direction is determined along the parallel waterline propulsion direction;
s2, obtaining flow distribution coefficients according to branches 20, 40, 60, 80 and 100m respectively according to the limit of 100m of the maximum radial water jet branch which can be realized by the process;
S3, calculating a shunt value curve;
s4, calculating the saturation of the recoverable residual oil of each oil well;
s5, taking the ratio of the product (Kh.S or) of the stratum coefficient of each oil well and the saturation of the recoverable residual oil to the flow distribution coefficient as a parameter, and when the level difference is minimum, obtaining the corresponding radial water jet branch length which is the optimal length of the radial water jet branch for planar balanced displacement;
Residual oil saturation can be recovered:
Syor＝(1-Sor)-(1-Sfw)＝Sfw-Sor
Wherein S yor -the saturation of recoverable oil; s or, residual oil saturation; s fw -the saturation of water under the current water conditions; wherein S fw is obtained by adopting a shunt flow curve according to the current water content of each well.
2. The optimization design method of claim 1, wherein the longitudinal grids in which the spacers are located are longitudinal 10, 22, 28 grids.
3. The optimization design method according to claim 1, wherein the calculation method of the theoretical liquid production intensity under the heterogeneous condition in step 2) is as follows:
(1) Drawing a theoretical curve of the dimensionless liquid production index changing along with the water content by utilizing an oil-water relative permeability curve of a work area to obtain a theoretical dimensionless liquid production index corresponding to the current water content condition;
(2) Counting the average daily liquid yield of the single well in the initial stage of the work area, and obtaining the product of the average daily liquid yield and the theoretical dimensionless liquid production index under the current water-containing condition, namely the theoretical single well liquid yield under the current water-containing condition; the ratio of the theoretical single well liquid amount to the average jet effective thickness is the theoretical liquid collecting intensity;
(3) Establishing a non-homogeneity theoretical model, and carrying out weighted average on physical properties to establish a homogeneity theoretical model; defining the daily liquid yield ratio of the heterogeneous theoretical model to the homogeneous theoretical model as an interference coefficient;
(4) The product of the theoretical dimensionless liquid sampling index and the interference coefficient under the current water-containing condition is the theoretical liquid sampling intensity under the heterogeneous condition.
4. The optimization design method of claim 3, wherein the formula for calculating the dimensionless oil recovery index α o is:
wherein K ro(Sw) -oil phase relative permeabilities at different water saturation S w; k romax -relative permeability of the oil phase at irreducible water saturation S wi; absolute permeability of oil layer at K-f w =0; k w -absolute permeability of oil layer with water f w.
5. The optimal design method according to claim 4, wherein,
Let k=k w be the number,
The calculation formula of the dimensionless liquid extraction index alpha l is as follows:
wherein,
Wherein K ro -the relative permeabilities of the oil phases at different water saturation levels S w; k rw —relative permeability of aqueous phase at different water saturation S w; mu o -crude oil viscosity under formation conditions; mu w -water viscosity under formation conditions.
6. The optimization design method according to claim 4 or 5, wherein the water phase diversion formula is:
Wherein K ro -the relative permeabilities of the oil phases at different water saturation levels S w; k rw —relative permeability of aqueous phase at different water saturation S w; mu o -crude oil viscosity under formation conditions; mu w -water viscosity under formation conditions; a-regression coefficient B-regression coefficientS w -water saturation.
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| CN103472484A (en) * | 2013-09-18 | 2013-12-25 | 西南石油大学 | Horizontal well track optimization method based on RS three-dimensional sensitivity seismic attribution analysis |
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