CN107169684B - Development dynamic calculation method under constant liquid volume production condition of multilayer commingled production reservoir - Google Patents
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Abstract
The invention discloses a dynamic calculation method for development under the constant liquid volume production condition of a multilayer commingled production reservoir, which relates to the technical field of oilfield development and comprises the following steps: step 1, knowing physical properties and fluid parameters of each small reservoir; step 2, knowing the average water saturation of the small layer at the moment n, calculating the water saturation of the outlet end, and fitting a phase permeability curve to a flow splitting equation to further calculate the relative permeability and water content of oil and water; step 3, knowing the total liquid production amount and the oil-water relative permeability at n moments, and obtaining the corresponding production pressure difference delta P at n moments under the production condition of fixed liquid amount through iterative trial calculation n (ii) a Step 4, solving the liquid production amount at the n moment according to the generalized Darcy law, and calculating the water content f w n (S w2 ) Further determining the water yield and the oil yield; step 5, obtaining the average water saturation at the n +1 moment according to the substance balance principle
And 6, repeating the steps (2) - (5) until n +1= N, and ending the calculation. The invention calculates the production development dynamics of the multilayer commingled production fixed-production-liquid volume, and can provide guidance for oil field production.
Description
Technical Field
The invention relates to the technical field of oilfield development, in particular to a dynamic calculation method for development under the constant liquid volume production condition of a multi-layer commingled oil reservoir.
Background
The continental facies sedimentary sandstone oil reservoir in China has a plurality of longitudinal oil layers, and the multilayer commingled production is generally adopted for development in order to reduce the production cost. The production pressure difference of the oil deposit produced by multilayer commingled production with fixed liquid amount, the oil production and the water production of each small layer are important parameters of the dynamic analysis of the oil deposit, but are usually difficult to obtain. On the basis of considering the water injection starting pressure gradient, the invention adopts an iterative trial algorithm to obtain the production pressure difference matched with the given liquid yield at different moments, thereby further obtaining the oil yield and the water yield of each small layer at different moments and providing guidance for the actual production of the oil field.
Disclosure of Invention
The invention aims to solve the technical problem of providing a dynamic development calculation method under the constant liquid volume production condition of a multi-layer commingled production reservoir, which can realize the production pressure difference of an oil well and the oil and water production of each small layer at different moments under the constant liquid volume production condition of the multi-layer commingled production reservoir. And (4) considering the water injection starting pressure gradient, and calculating the oil yield and the water yield of each small layer at different moments by searching the production pressure difference matched with the given liquid amount at different moments.
In order to achieve the above purpose, the present invention provides the following technical solutions: the development dynamic calculation method under the constant liquid volume production condition of the multilayer commingled oil reservoir comprises the following steps:
(1) Collecting physical properties and fluid parameters of each small layer of reservoir according to a logging interpretation result, a high-pressure physical property analysis report, production dynamic data and the like;
(2) Knowing the average water saturation of the small layer at the moment n, solving the water saturation of the outlet end, and fitting a phase permeability curve to a flow rate equation to further solve the relative oil-water permeability and the water content;
(3) Knowing the total liquid production amount and the oil-water relative permeability at n moments, and obtaining the production pressure difference delta P matched with the total liquid production amount of a given single well through iterative trial calculation n ；
(4) Calculating the liquid production amount at the moment n according to the generalized Darcy law, and then calculating the water content f at the moment n w n (S w2 ) Further determining the water yield and the oil yield;
(5) According to the substance balance principle, solving the average water saturation of each small layer at the moment n + 1;
(6) Repeating the steps (2) - (5) until n +1= n, and ending the calculation.
Preferably, in the step (1), the plurality of reservoir physical properties and fluid parameters include area, effective reservoir thickness, reservoir width, absolute permeability, porosity, viscosity of underground crude oil, current average water saturation and the like, and G =55.624 × K according to a statistical rule of a relation between a water injection start pressure gradient and absolute permeability -1.7145 And obtaining the water injection starting pressure gradient.
Preferably, in the step (3), the time n is known
According to the generalized darcy law, the small-layer liquid production amount considering the water injection starting pressure gradient is->
Knowing the total liquid production volume of a single well produced by the fixed liquid production volume of the multi-layer commingled production reservoir, iteratively calculating the production pressure difference delta P at n moments n Until the sum of the liquid production rates of all the small layers is equal to the given liquid production rate of the layer system. />
Preferably, in the step (4), the production pressure difference delta P matched with the given liquid production amount at the moment n is known from the step (3) n According to the generalized Darcy's law, the liquid production of each small layer is obtained, and then the steps are repeatedWater content f at time n of each small layer in step (2) w n (S w2 ) And obtaining the oil production and the water production at the time n.
Preferably, in the step (5), according to the principle of material balance, the average decrease of oil saturation caused by oil production from n to n +1 is equal to the average increase of water saturation, and the average decrease is calculated by volume method
And (5) obtaining the average water saturation at the n +1 moment.
Preferably, in the step (6), the steps (2) - (5) are repeated until n +1= n, and the calculation is finished.
The beneficial effect of adopting above technical scheme is: the development dynamic calculation method under the constant liquid volume production condition of the multilayer commingled production reservoir considers the influence of the water injection starting pressure gradient on the oil production volume under the constant liquid volume production condition of the longitudinal multilayer commingled production reservoir; meanwhile, the change of the total oil-water seepage resistance in the production process is considered, and along with the increase of the production time, the water content is increased, and the total oil-water seepage resistance is reduced. According to the method, important dynamic development parameters such as oil yield, water yield and corresponding production pressure difference at different moments under the production condition of the fixed liquid production of the multi-layer commingled production reservoir are obtained through calculation, and guidance can be provided for actual production of an oil field.
Drawings
The following describes embodiments of the present invention in further detail with reference to the accompanying drawings.
FIG. 1 is a physical model diagram of a dynamic calculation method for development under constant liquid volume production conditions of a multi-layer commingled oil reservoir of the invention;
FIG. 2 is a flow chart of a method for dynamic calculation of development under constant fluid production conditions of a multi-layer commingled production reservoir of the present invention;
FIG. 3 is a diagram of the development dynamics of each small layer under the constant fluid production conditions of the multi-layer commingled production reservoir in an embodiment of the invention.
Detailed Description
The following describes a preferred embodiment of the development dynamic calculation method under the constant fluid volume production condition of the multi-layer commingled production reservoir in detail with reference to the accompanying drawings.
Fig. 1, fig. 2 and fig. 3 show a specific embodiment of the development dynamic calculation method under the constant liquid volume production condition of the multi-layer commingled production reservoir of the invention:
the development dynamic calculation method under the constant liquid volume production condition of the multilayer commingled oil reservoir comprises the following steps:
(1) Collecting physical properties and fluid parameters of each small layer of reservoir according to a logging interpretation result, a high-pressure physical property analysis report, production dynamic data and the like;
(2) Knowing the average water saturation of the small layer at the moment n, solving the water saturation of the outlet end, and fitting a phase permeability curve to a flow rate equation to further solve the relative oil-water permeability and the water content;
(3) Knowing the total liquid production capacity and the relative oil-water permeability at n moments, and obtaining the production pressure difference delta P matched with the total liquid production capacity of a given single well through iterative trial calculation n ；
(4) Calculating the liquid production amount at the moment n according to the generalized Darcy law, and then calculating the water content f at the moment n w n (S w2 ) Further determining the water yield and the oil yield;
(5) According to the substance balance principle, solving the average water saturation of each small layer at the moment n + 1;
(6) Repeating the steps (2) - (5) until n +1= n, and ending the calculation.
In the step (1), a plurality of reservoir physical properties and fluid parameters including area, effective thickness of the reservoir, oil layer width, absolute permeability, porosity, underground crude oil viscosity, current average water saturation and the like are determined according to a statistical rule G =55.624 xK of a relation between a water injection starting pressure gradient and the absolute permeability -1.7145 And obtaining the water injection starting pressure gradient.
In step (3), the time n is known
According to the generalized darcy law, the small layer liquid production amount considering the water injection starting pressure gradient is->
Single well assembly for fixed liquid production of known multilayer commingled oil reservoirLiquid production amount, iterative trial calculation of production pressure difference delta P at n moment n Until the sum of the liquid production rates of all the small layers is equal to the given liquid production rate of the layer system.
In step (4), the production pressure difference delta P matched with the given liquid production amount at the moment n is known from the step (3) n According to the generalized Darcy law, the liquid production amount of each small layer is obtained, and the water content f of each small layer at the moment n in the step (2) w n (S w2 ) And obtaining the oil production and the water production at the time n.
In the step (5), according to the principle of material balance, the average oil saturation reduction amount caused by the oil production amount from n to n +1 is equal to the average water saturation increase amount by a volume method
And (5) obtaining the average water saturation at the n +1 moment.
In step (6), steps (2) - (5) are repeated until n +1= n, and the calculation is ended
FIG. 2 is a flow chart of a dynamic calculation method for development under the constant liquid volume production condition of a multi-layer commingled oil reservoir of the invention, which comprises the step 1 of knowing the physical properties and fluid parameters of each small layer of reservoir; step 2, knowing the average water saturation of the small layer at the moment n, calculating the water saturation of the outlet end, and fitting a phase permeability curve to a flow splitting equation to further calculate the relative permeability and water content of oil and water; step 3, knowing the total liquid production amount and the oil-water relative permeability at n moments, and obtaining the corresponding production pressure difference delta P at n moments under the production condition of fixed liquid amount through iterative trial calculation n (ii) a Step 4, solving the liquid production amount at the moment n according to the generalized Darcy law, and calculating the water content f w n (S w2 ) Further determining the water yield and the oil yield; step 5, obtaining the average water saturation at the n +1 moment according to the substance balance principle
And 6, repeating the steps (2) - (5) until n +1= N, and finishing the calculation.
The Dongxin oil field is a typical complex fault block oil reservoir, the number of longitudinal oil layers is large, and multi-layer combined mining is common. One of the layers is selected as an example for detailed description, and the specific implementation steps are as follows:
1. the physical properties and fluid parameters of each small layer of reservoir are known
The physical properties and fluid parameters of each small layer of reservoir are known, including area, effective thickness of the reservoir, width of oil layer, absolute permeability, porosity, viscosity of underground crude oil, average water saturation and the like. According to the statistical rule G =55.624 xK of the water injection starting pressure gradient and the absolute permeability -1.7145 And obtaining the water injection starting pressure gradient, which is shown in the table 1.
TABLE 1 reservoir Properties and fluid parameters for each sub-layer
2. Knowing the n time instants
Calculating the relative permeability and water content of oil and water
Multilayer commingled production reservoir with fixed production liquid volume of 20m 3 D production, taking the time interval delta t = t n+1 -t n 30 days, 2 years production time (n = 24) as an example, and the average water saturation of each small layer is known
0.55013, 0.61842, 0.64254, 0.62543, 0.57323 respectively, based on the relation between the mean water saturation and the outlet-end water saturation>
Determining the saturation of the water at the outlet end>
Is 0.48230, 0.58473, 0.62091, 0.59524 and 0.51694, and a curve k of the relation between the oil-water relative permeability and the outlet end water saturation is obtained by fitting a phase permeation curve ro ＝6.6443S w2 2 -9.1544S w2 +3.1565，k rw ＝3.0522S w2 2 -2.1082S w2 +0.3651, oilRelative penetration->
Is 0.2869, 0.0754, 0.0340, 0.0616, 0.1998, and has a relative water phase permeability->
0.0583, 0.1759, 0.2328, 0.1916, 0.0909; the influence of oil-water gravity difference and capillary force is not considered, and the judgment is carried out according to the flow split equation>
Calculating the water content f w 24 (S w2 ) 0.8120, 0.9233, 0.9394, 0.9272 and 0.8636.
3. The single well liquid production amount and the oil-water relative permeability at n moments are known, and the iterative production pressure difference is calculated by trial
According to the balance of injection and production, the liquid production amount and the injection amount of a single well are equal to 20m 3 D; the oil-water relative permeability at the n moment can be known from the step (2)
And &>
According to the generalized Darcy's law, the small-layer liquid production quantity considering the water injection starting pressure gradient is
Knowing the total fixed liquid production amount of the single well, and obtaining the production pressure difference delta P by iterative trial calculation until the sum of the liquid production amounts of all the small layers is equal to the total liquid production amount of the single well 24 Is 2.514MPa.
4. Knowing the production pressure difference and the water content at n moments, and solving the oil yield and the water yield
Knowing the production pressure difference Δ P matched to a given fluid production at time n =24 24 According to the generalized Darcy's law, the liquid production of each small layer is obtained
Is 0.6184, 5.7914, 1.9296, 7.9434 and 3.7173m 3 D, then the water content f at the moment of each small layer n in the step (2) w 24 (S w2 ) Calculating the daily oil yield>
0.1067, 0.4033, 0.1066, 0.5244 and 0.4628m 3 D; the daily water yield is->
Is 0.5117, 5.3881, 1.8236, 7.4190, 3.2545m 3 /d。
5. According to the principle of conservation of materials, the average water saturation at the n +1 moment is obtained
According to the principle of material balance, the average oil saturation reduction caused by the oil production from n to n +1 is equal to the average water saturation increase, the oil-water total seepage resistance change rate is reduced when the oil-water total seepage resistance enters a high water-cut period, the oil production is approximately regarded as constant within a small time interval, and the constant oil-water total seepage resistance change rate is obtained by a volume method
Determining the average water saturation at time n +1=25>
0.55052, 0.61961, 0.64325, 0.62658, 0.57419.
6. Repeating (2) - (5) until n +1= n, and ending the calculation. If the calculation time is 10 years and the time interval is 30 days, N is 120, and the development dynamics is obtained at the calculation end time to obtain the production pressure difference delta P 120 2.055MPa and daily oil yield of
0.0433, 0.1355, 0.0404, 0.1673, 0.1648m 3 /d, daily water yield->
0.4800, 5.7459, 1.7010, 7.4760 and 4.0458m 3 /d。
From the above calculation examples, it can be seen that, under the condition of fixed liquid volume production, the production pressure difference corresponding to different moments can be obtained through trial calculation for the longitudinal multilayer combined production oil reservoir, the liquid production volume can be obtained according to the generalized Darcy's law, and then the oil production volume and the water production volume can be further calculated according to the water content. Along with the increase of time, the moisture content constantly rises, and the total seepage resistance of profit reduces, and the production pressure differential that corresponds with the liquid measure of deciding production constantly reduces, and the oil production volume is littleer and littleer. The method for calculating the water yield and the oil yield of the oil well of the multi-layer commingled production reservoir can provide guidance for on-site actual production development, and has certain popularization value.
The above are only preferred embodiments of the present invention, and it should be noted that, for those skilled in the art, many variations and modifications can be made without departing from the inventive concept, and these are all within the scope of the present invention.
Claims (4)
1. A development dynamic calculation method under the constant liquid volume production condition of a multi-layer commingled production reservoir is characterized by comprising the following steps: the development dynamic calculation method under the constant liquid volume production condition of the multi-layer commingled production reservoir comprises the following steps:
(1) Collecting physical properties and fluid parameters of each small layer of reservoir according to a logging interpretation result, a high-pressure physical property analysis report, production dynamic data and the like;
(2) Knowing the average water saturation of the small layer at the moment n, solving the water saturation of the outlet end, and fitting a phase permeability curve to a flow rate equation to further solve the relative oil-water permeability and the water content;
(3) Knowing the total liquid production amount and the oil-water relative permeability at n moments, and obtaining the production pressure difference delta P matched with the total liquid production amount of a given single well through iterative trial calculation n ；
(4) Calculating the liquid production amount at the moment n according to the generalized Darcy law, and then calculating the water content f at the moment n w n (Sw 2), and further determining the water and oil production;
(5) According to the substance balance principle, solving the average water saturation of each small layer at the moment n + 1;
(6) Repeating the steps (2) - (5) until n +1= N, and ending the calculation;
the step (2) specifically comprises:
knowing the average water saturation of the n time slices
From the relationship between the average water saturation and the outlet end water saturation
Finding the saturation Sw of the water at the outlet end 2 (ii) a Then the relative permeability k of the oil phase is obtained from the phase permeability curve ro Relative permeability of the aqueous phase k rw (ii) a The influence of oil-water gravity difference and capillary force is not considered, and the calculation is carried out according to a flow splitting equation
Calculating the water content f w ；
In the step (3), n time k is known rw 、k ro According to the generalized Darcy's law, the small-zone liquid production amount considering the water injection starting pressure gradient is
The total production fluid volume of a single well produced by the fixed fluid volume of the multi-layer commingled production reservoir is known, and the production pressure difference delta P at n moment is calculated through iterative trial n Until the sum of the liquid production rates of all the small layers is equal to the given liquid production rate of the layer system.
2. The development dynamic calculation method under the constant liquid volume production condition of the multi-layer commingled production reservoir according to claim 1, characterized in that: in the step (1), a plurality of reservoir physical properties and fluid parameters including area, effective thickness of the reservoir, oil layer width, absolute permeability, porosity, viscosity of underground crude oil, current average water saturation and the like are calculated according to the statistical rule G =55.624 xK of the relation between water injection starting pressure gradient and absolute permeability -1.7145 And obtaining the water injection starting pressure gradient.
3. According to claimThe development dynamic calculation method under the constant liquid volume production condition of the multi-layer commingled production reservoir of claim 1 is characterized by comprising the following steps: in the step (4), the production pressure difference delta P matched with the given liquid production amount at the moment n is known from the step (3) n According to the generalized Darcy law, the liquid production amount of each small layer is obtained, and the water content f of each small layer at the moment n in the step (2) w n (Sw 2), the oil and water production at time n are determined.
4. The development dynamic calculation method under the constant liquid volume production condition of the multi-layer commingled production reservoir according to claim 1, characterized in that: in the step (5), according to the principle of material balance, the average oil saturation reduction caused by the oil production from n to n +1 is equal to the average water saturation increase, and the average oil saturation reduction is calculated by a volume method
And (5) obtaining the average water saturation at the n +1 moment. />
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