CN106337680A - Method of determining recoverable reserves in oil reservoir production wells - Google Patents
Method of determining recoverable reserves in oil reservoir production wells Download PDFInfo
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Abstract
The invention provides a method of determining recoverable reserves in oil reservoir production wells. The method comprises following steps: obtaining production curves of an oil well, and averaging the production curves of the oil well; determining an initial point of the Arps decline analysis according to the averaged production curves; performing ARPS decline analysis using the initial point as the start point of the decline analysis to predict recoverable reserves in oil reservoir production wells. The output change determined by the above method is highly coincided with the recoverable reserves; the accuracy requirement of oil reservoir engineering is satisfied; the method can be applied in determination of reservoir production wells yield changes and recoverable reserves without the stratum parameters.
Description
Technical field
The invention belongs to oil reservoir producing well production field and in particular to a kind of oil reservoir producing well recoverable reserves really
Determine method.
Background technology
After oil-gas reservoir produces certain time, decline and aqueous rising with strata pressure, yield will be entered and pass
Derogatory section, exist and successively decrease in various degree., it is in During Natural Depletion taking compact oil reservoir staged fracturing horizontal well as a example
During, there are three phases in flow event, linear flow, the linear darcy in nearly crack respectively in crack
Linear-radial direction non-darcy flow between seepage flow, substrate, crack.First and second stage was linear flowing, now flowed
Do not interfere between dynamic crack, flow is equal and significantly successively decreases in time, be equivalent to single in infinitely great stratum
The flowing that crack causes, the phase III includes linear flow and radial flow between substrate-crack for the quasi-stable state stage,
Now interfere between flowing crack, pressure wave travels on border completely, the flow performance of pressure break horizontal well
It is similar to stitch the long wall scroll FRACTURE CHARACTERISTICS being equal to fracturing section, oil well output amplitude of successively decreasing is steady.Dynamic in conjunction with producing
From the point of view of state situation, in producing initial stage, man-made fracture plays control action to seepage flow;Later stage substrate seepage flow plays master
Act on.Because percolation law is complicated, the description of change of production rule and recoverable reserves determine that difficulty is big.
The change of production of oil reservoir oil well depletion stage and recoverable reserves determine mainly using unstable both at home and abroad at present
Analytic process, needs corresponding software, needs to set up individual well model, and demand data amount is big, including oil well high-tension
The parameters such as physical property, well bore parameter, reservoir parameter, fracturing reform, require reservoir characteristic is had accurately to recognize simultaneously
Know.The method operation is relative complex, and required information amount is larger, and the working cycle is long, meanwhile, a large amount of producing wells
Real data cannot meet the accurate parameter required for prior art.
But for development block, because development well number is more, determine that producing well can be adopted using unstable analytic process
Reserves, need to set up individual well model, workload is big;For parameters such as a large amount of geology, fluid, pressure break scales
It is difficult to the producing well accurately determining, the change of production that unstable analytic process calculates and the determination of recoverable reserves are difficult to
Realize, oil well output changes and the recoverable reserves permanent new problem often becoming reservoir engineering really, and this problem is urgently
Treat that the change of production in a kind of simple and accurate decline of a well stage and recoverable reserves determine that method is solved.
Content of the invention
For the above-mentioned problems in the prior art, the invention provides a kind of oil reservoir producing well recoverable reserves
Determination method, for simple, efficiently and reliably carry out the change of production law-analysing of oil well and storage can be adopted
Amount determines.
The invention provides a kind of determination method of oil reservoir producing well recoverable reserves, the method comprises the following steps:
Obtain the production curve of oil well, and process is averaged to the production curve of oil well;
According to the production curve after handling averagely, determine that arps successively decreases the initial point of analysis;
Using described initial point as the starting point of analysis of successively decreasing, carry out arps and successively decrease analysis, oil reservoir prediction production
The recoverable reserves of well.
Technical scheme is set up on the basis of oil well production data, carries out the change of production rule of oil well
Rule research and recoverable reserves determine, from the point of view of the current oil reservoir condition of production, the creation data in oil field is complete, and
And data is accurately and reliably, compared with the prior art, the method according to the invention is workable, simple,
Drastically increase the work efficiency of oil reservoir producing well recoverable reserves determination.
Brief description
The flow chart that Fig. 1 shows the determination method of the oil reservoir producing well recoverable reserves according to the present invention.
Fig. 2 shows the production curve of the oil well according to an embodiment.
Fig. 3 shows, according to an embodiment, production curve is averaged with the average product obtaining after process
Amount data and curves.
Fig. 4 shows obtain after average product data being smoothed according to an embodiment average
Production curve after change process.
Fig. 5 show the handling averagely according to an embodiment after production curve Second derivative curves.
Fig. 6 shows that the flex point that the Second derivative curves according to production curve determine predicts the signal of recoverable reserves
Figure.
Fig. 7 shows the production decline prognostic chart in prior art according to unstable analysis method.
Specific embodiment
Below in conjunction with the accompanying drawings the present invention is described in further detail.
After oil-gas reservoir produces certain time, decline and aqueous rising with strata pressure, yield will be entered and pass
Derogatory section, exist and successively decrease in various degree., it is in During Natural Depletion taking compact oil reservoir staged fracturing horizontal well as a example
During, there are three phases in flow event.From the point of view of producing well seepage flow characteristics, in producing initial stage,
Man-made fracture plays control action to seepage flow;Later stage substrate seepage flow plays a major role.Specifically bent in the production of oil well
Show as there is individual equilibrium point between unsteady state flow to steady-state flow on line, this equilibrium point is as successively decreased flex point yield,
This flex point yield corresponding production time is to reach boundary time.
After oil reservoir reaches depletion stage, the production decline rule of oil well is typically with the table of arps proposition
Reach formula (expression formula (1)) to describe, most typical production rate decline curve form has exponential decrease, hyperbola
Successively decrease and 3 kinds of harmonic decline.
Arps provides the relational expression of yield and lapse rate d, is expressed as below:
Wherein, qiRepresent the initil output of depletion stage, diRepresent the initial instantaneous decline rate starting when successively decreasing,
I represents original state, and n is decline exponent, and span is 0≤n≤1, is harmonic decline during n=1, n=0
When be exponential decrease, n < 1 < when 0 be hyperbolic decline.
Wherein production decline rate d is defined as:
Wherein, q (t) represents the actual yield of depletion stage t
The expression formula being proposed based on above-mentioned arps, inventors herein proposes a kind of oil reservoir producing well recoverable reserves really
Determine method, as shown in figure 1, the method comprises the following steps:
Obtain the production curve of oil well, and process is averaged to the production curve of oil well;
According to the production curve after handling averagely, determine that arps successively decreases the initial point of analysis;
Using described initial point as the starting point of analysis of successively decreasing, carry out arps and successively decrease analysis, oil reservoir prediction production
The recoverable reserves of well.
Wherein, present inventor is found by research, and the range of arps decline curve is to intend stablizing
Flowing stage, generally pressure-wave emission to after border, i.e. boundary control flowing stage.But, in reality
In the application of border, arps curve is often arrived the flow instabilities stage (i.e. pressure-wave emission is to before border) by misuse.
Because Flow Through Porous Media complexity is it is difficult to accurately determine the different flowing stage of oil reservoir, impact producing well produces
Amount variation prediction and the determination of recoverable reserves.Therefore accurately ask for producing well reach pseudostable flow move time be
Reach boundary time, be prediction producing well change of production and the essential condition determining recoverable reserves.
Based on this, in a step 101 it is necessary first to obtain the production curve of oil well, and the production to oil well
Curve averages process.
Due to oil well in process of production, due to producing system and certainty of measurement impact, output fluctuation is larger,
By the handling averagely of oil well production curve, first oil production in every for oil well 5-7 days is done handling averagely,
Obtain average oil production curve, eliminate output fluctuation impact.On this basis, 5 points 3 times, index are applied
Deng smoothed curve algorithm, then curve is smoothed, is that yield derivation is laid a good foundation.
In a step 102, according to the production curve after handling averagely, determine that arps successively decreases the initial of analysis
Point.
Inventor finds through research, when the pseudostable flow dynamic stage is reached for the oil well being in depletion stage,
The change of expression formula forecast production and the determination recoverable reserves proposing using arps can be attempted.So, the present invention's
During according to being to reach pseudostable flow in the decline of a well stage to move the stage, pressure wave travels on border completely, produces
Amount is successively decreased and is tended to successively decreasing steadily by rapid decrement, therefore can be to production well production data (for example, above-mentioned warp
Cross the production curve of handling averagely) carry out second order derivation, can be considered unsteady state flow when second dervative tends to 0
Equilibrium point between steady-state flow, that is, flex point of successively decreasing, by this flex point of successively decreasing be defined as arps successively decrease analysis just
Initial point, then applies the expression formula that classical arps proposes to carry out analysis of successively decreasing, so that it is determined that recoverable reserves.
In step 103, the production time tending to 0 determination using second dervative, as starting point, carries out arps
Successively decrease analysis, oil reservoir prediction producing well change of production and determination recoverable reserves.
Preferably, can oil reservoir prediction producing well in the following manner recoverable reserves: bent according to oil well production
Line oil production situation of change, differentiates producing well Decline type, when producing well is decremented to exponential decrease, sets up
Production time (t)-yield logarithm ln (q) relation scatterplot, carry out linear regression, the intercept determining is taken
Power exponent, obtains the recoverable reserves of producing well;When producing well is decremented to hyperbolic decline, in given n*diValue
On the basis of, set up production time ln (1+n*di* t)-yield logarithm ln (q) relation scatterplot, enters line
Property return, to determine intercept exponentiation index, obtain the recoverable reserves of producing well;When producing well is decremented to adjust
During with successively decreasing, setting up the production time (t)-yield inverse (1/q) relation scatterplot, carrying out linear regression,
Inverted to the intercept determining, obtain the recoverable reserves of producing well.
The change of production that said method determines and the recoverable reserves goodness of fit are high, meet reservoir engineering permissible accuracy
When, the oil reservoir producing well change of production in the case of the method being used for unknown formation parameter and recoverable reserves true
Fixed.
The present invention according to oil reservoir producing well depletion stage reach pseudostable flow move after, oil well output be in steadily pass
The feature subtracting, asks for arps using average product second dervative and successively decreases the initial point of analysis, Accurate Prediction oil reservoir
Producing well change of production and the determination of recoverable reserves, the method only needs to oil well production dynamic data, operable
Property strong, the recoverable reserves that determined using the method, verified with existing unstable analysis method, research
Accurately and reliably, what this invention substantially increased that oil reservoir producing well change of production and recoverable reserves determine grasps conclusion
The property made and work efficiency.
Below in conjunction with the accompanying drawings, describe the method according to the invention in detail and carry out oil reservoir producing well recoverable reserves really
A fixed specific embodiment.
Fig. 2 shows the production curve of the oil well according to an embodiment.Fig. 3 shows and is implemented according to one
Example production curve is averaged with the average product data and curves obtaining after process.Fig. 4 shows basis
Production curve after the handling averagely obtaining after one embodiment average product data is smoothed.
The production curve of the oil well from Fig. 2, in oil well production process, due to producing system and measurement
Precision affects, and output fluctuation is larger.First pass through the handling averagely to production curve, calculate this well every 5
Its average product, obtains average product data and curves (as shown in Figure 3), on this basis again to production curve
Exponential method carries out smoothing techniques, obtains the production curve (as shown in Figure 4) after described handling averagely.
Then, second dervative is asked to the production curve after handling averagely, the second order of production curve can be obtained
Derivative curve, as shown in Figure 5.Thus ask for the production time that second dervative tends to 0, this value is arps
Successively decrease the initial point of analysis, and being calculated the initial point that this oil well arps successively decreases is 109 days.
The production time tending to 0 determination with second dervative is 109 days, as analysis starting point of successively decreasing, carries out
Arps successively decreases analysis, and prediction recoverable reserves is 1469.61t (as shown in Figure 6).
The change of production that determine said method and recoverable reserves and the yield being obtained using unstable analysis method
Change and recoverable reserves do relative analyses.It is 1525t according to the recoverable reserves of unstable analysis method prediction, such as
Shown in Fig. 7.The error of the two is 3.6%, and error is less.As can be seen here, the method according to the invention determines
Change of production and the recoverable reserves goodness of fit high, when meeting reservoir engineering permissible accuracy, the method can be used
Oil reservoir producing well change of production in the case of unknown formation parameter and recoverable reserves determine.
Technique scheme is one embodiment of the present invention, for those skilled in the art,
The invention discloses on the basis of application process and principle it is easy to make various types of improve or deform,
It is not limited solely to the method described by the above-mentioned specific embodiment of the present invention, therefore previously described mode is
Preferably, and not restrictive meaning.
Claims (5)
1. a kind of determination method of oil reservoir producing well recoverable reserves, the method comprises the following steps:
Obtain the production curve of oil well, and process is averaged to the production curve of oil well;
According to the production curve after handling averagely, determine that arps successively decreases the initial point of analysis;
Using described initial point as the starting point of analysis of successively decreasing, carry out arps and successively decrease analysis, oil reservoir prediction production
The recoverable reserves of well.
2. determination method according to claim 1, wherein, the described production curve to oil well is put down
Homogenizing processes and includes:
The production curve of the oil production in every for oil well 5-7 days is done handling averagely, obtains at described equalization
Production curve after reason.
3. determination method according to claim 2, wherein, the described production curve to oil well is put down
Homogenizing processes and includes:
After the production curve of the oil production in by oil well every 5-7 days does handling averagely, using 5 points 3 times
Or exponential smoothing curved line arithmetic, the production curve after averagedization is processed is smoothed, and obtains described
Production curve after handling averagely.
4. determination method according to claim 1, the initial point of analysis wherein it is determined that arps successively decreases
Including:
Second dervative is asked to the production curve of described handling averagely, second dervative is tended to 0 corresponding production
Time is defined as described arps and successively decreases the initial point of analysis.
5. determination method according to claim 1, wherein, carries out arps and successively decreases analysis, oil reservoir prediction
The recoverable reserves of producing well includes:
According to oil well production curve oil production situation of change, differentiate producing well Decline type,
When producing well is decremented to exponential decrease, set up the production time (t)-yield logarithm ln (q) relation dissipate
Point diagram, carries out linear regression, to the intercept exponentiation index determining, obtains the recoverable reserves of producing well;
When producing well is decremented to hyperbolic decline, in given n*diOn the basis of value, set up production time ln
(1+n*di* t)-yield logarithm ln (q) relation scatterplot, carries out linear regression, and the intercept determining is taken
Power exponent, obtains the recoverable reserves of producing well;
When producing well is decremented to harmonic decline, set up the production time (t)-yield inverse (1/q) relation dissipate
Point diagram, carries out linear regression, inverted to the intercept determining, obtains the recoverable reserves of producing well.
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CN109057786A (en) * | 2018-07-27 | 2018-12-21 | 中国石油大学(华东) | A kind of adaptive model for the estimation of untraditional reservoir recoverable reserves |
CN109409559A (en) * | 2017-08-17 | 2019-03-01 | 中国石油天然气股份有限公司 | The determination method and device of Production Decline Prediction of Oilfield rate |
CN109681184A (en) * | 2018-12-05 | 2019-04-26 | 中石化重庆涪陵页岩气勘探开发有限公司 | Shale gas well Production development prediction technique and equipment |
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