CN109915123A - Utilize the method for instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx - Google Patents
Utilize the method for instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx Download PDFInfo
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Abstract
The invention discloses a kind of method using instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx, the present invention first obtains strata pressure, oil reservoir recoverable reserves, cumulative liquid production, annular water layer function, non dimensional time, oil reservoir outer radius, the viscosity of porosity, system compressibility, water；Then formula is utilized, and fluid production rate is found out according to oil reservoir recoverable reserves, cumulative liquid production；Recycle formula, go out water invasion coefficient according to the formation pressure calculation of initial formation pressure, exploitation any time: finally utilizing formula, according to annular water layer function, non dimensional time, oil reservoir outer radius, the viscosity of porosity, system compressibility, water, water influx is calculated.The present invention can solve fracture-pore reservoir during quasi-stable state water enchroachment (invasion) the problem of quantitative water influx, it is contemplated that influence of the transient seepage flow to water enchroachment (invasion) process and the basic law for meeting the flowing of quasi-stable state water enchroachment (invasion) process medium fluid, error are smaller.
Description
Technical field
The present invention relates to quasi-stable state water enchroachment (invasion) water enchroachment (invasion)s quantitative when a kind of mining technique field, in particular to oil reservoir development
The calculation method of amount.
Background technique
During oil reservoir development, the main reason for influencing development effectiveness is exactly the intrusion of water body, once oil well water breakthrough, produces
Oil mass can be reduced constantly, and water yield, which is continuously increased, leads to waterflood, seriously affect the development effectiveness and ultimate recovery of oil reservoir.
Fractured-vuggy reservoir type is more, is broadly divided into Caves, and slit formation and the two are compound.And each type is due to it
Reservoir Scale is different, and way of contact difference causes its heterogeneity very strong, without certain regularity.Such as the water of Caves reservoir
The process of invading is mostly stable state water enchroachment (invasion) and quasi-stable state water enchroachment (invasion), and slit formation and the compound then unstable state water enchroachment (invasion) of the two are in the majority.Therefore in oil
It hides in recovery process, pressure supply mode is complex, and water influx is difficult to system-computed.
Water influx analysis is reservoir performance analysis, water flood recovery scheme is determining and controls basis work early period that water measure is implemented
Make.The state behind closed boundary is passed in quasi-stable state water enchroachment (invasion) finger pressure Reeb, constant in well production, in the constant situation of flow resistance, ground
The elastic energy also water enchroachment (invasion) under metastable state in layer.At this point, how no matter pressure change all, there are a type lines with the time
Sexual intercourse, the pressure for being embodied in oil-water interfaces is the function of time.
Currently, common quasi-stable state water influx computation model Fetkovich quasi-stable state model, by assuming water enchroachment (invasion) index
Concept describes the water influx of limited big small size pond.Equation and productivity index of the description water-bearing layer in relation to flow velocity that this method proposes
Equation is similar, has ignored influence when transient seepage flow, so that calculated result generates apparent deviation.
Summary of the invention
The technical problem to be solved in the present invention is that the description water-bearing layer proposed for Fetkovich quasi-stable state model has
The equation for closing flow velocity is similar to productivity index equation, has ignored influence when transient seepage flow, so that calculated result generates obviously
Deviation the technical issues of, provide a kind of method using instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx.
The present invention solves its technical problem, used to utilize instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water enchroachment (invasion)
The method of amount comprises the following steps:
S1, strata pressure, oil reservoir recoverable reserves, cumulative liquid production, annular water layer function, non dimensional time, oil reservoir are obtained
The viscosity of outer radius, porosity, system compressibility, water；
S2, fluid production rate is found out using following formula, and according to oil reservoir recoverable reserves, cumulative liquid production；
Wherein, dWe/ dt is fluid production rate, wherein WeFor water influx, t is time, NpFor oil reservoir recoverable reserves, NlFor accumulation
Liquid output；
S3, using following formula, water invasion coefficient is gone out according to initial formation pressure, the formation pressure calculation for exploiting any time
K ':
Wherein, piFor initial formation pressure, p is the strata pressure for exploiting any time；
S4, using following formula, according to annular water layer function, non dimensional time, oil reservoir outer radius, porosity, comprehensive press
Contract coefficient, viscosity, calculates water influx:
Wherein: QDFor annular water layer function；tDFor non dimensional time；r0For oil reservoir outer radius；For porosity；ctIt is comprehensive
Close the compressed coefficient；μwFor the viscosity of water, pjIt is to indicate time tjWhen strata pressure, pressure incrementpi
=p-1, the period between time j and time j+1 is unlimited minor time slice, Δ tDWhen indicating the zero dimension under j time step
Between, n indicates total number of segment of unlimited minor time slice.
Further, in the method for the invention using instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx
In step S1, strata pressure, oil reservoir recoverable reserves, cumulative liquid production, oil reservoir outer radius, porosity, system compressibility and water
Viscosity be to be obtained according to the daily continuous data of oil gas field.
Implement the method for the invention using instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx, has following
The utility model has the advantages that the present invention provides a kind of foundation to calculate the new of fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx on instantaneous equation
Method, this method can solve the problem of fracture-pore reservoir quantifies water influx during quasi-stable state water enchroachment (invasion), it is contemplated that unstable
Influence of the seepage flow to water enchroachment (invasion) process and the basic law for meeting the flowing of quasi-stable state water enchroachment (invasion) process medium fluid, error is smaller.
Detailed description of the invention
Present invention will be further explained below with reference to the attached drawings and examples, in attached drawing:
Fig. 1 is the process using one embodiment of method of instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx
Figure.
Specific embodiment
For a clearer understanding of the technical characteristics, objects and effects of the present invention, now control attached drawing is described in detail
A specific embodiment of the invention.
With reference to Fig. 1, comprised the following steps using the method for instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx:
S1, strata pressure, oil reservoir recoverable reserves, cumulative liquid production, annular water layer function, non dimensional time, oil reservoir are obtained
The viscosity of outer radius, porosity, system compressibility, water.
S2, according to the fundamental relation of water enchroachment (invasion) speed and fluid production rate, the feelings of solution gas volume in the case where not considering formation condition
Following formula are obtained under condition；Fluid production rate is found out using following formula, and according to oil reservoir recoverable reserves, cumulative liquid production；
Wherein, dWe/ dt is fluid production rate, wherein WeFor water influx, t is time, NpFor oil reservoir recoverable reserves, NlFor accumulation
Liquid output.
S3, using following formula, water invasion coefficient is gone out according to initial formation pressure, the formation pressure calculation for exploiting any time
K ':
Wherein, piFor initial formation pressure, p is the strata pressure for exploiting any time.
S4, the theory proposed based on van Everdingen and Hurst, i.e., constant in interior terminal pressure, no rock mass bullet
Performance release, anhydrous elasticity can discharge, no fluid structurecoupling, in the case where no inter-well interference, it can be deduced that the public affairs of following water influxs
Formula；Using following formula, according to annular water layer function, non dimensional time, oil reservoir outer radius, porosity, system compressibility, water
Viscosity, calculate water influx:
Wherein: QDFor annular water layer function；tDFor non dimensional time；r0For oil reservoir outer radius；H is core intersection；For hole
Porosity；ctFor system compressibility；μwFor the viscosity of water, pjIt is to indicate time tjWhen pressure, pressure incrementpi=p-1, the period between time j and time j+1 is unlimited minor time slice, Δ tDIt indicates in j
Between non dimensional time under step-length, n indicates total number of segment of unlimited minor time slice.
The water invasion coefficient k ' that step S3 the has been found out above formula substituted into this step can be found out into each infinitesimal time
Interior water influx.What it is due to instantaneous equation calculation is water influx in unlimited short time, finds out total water enchroachment (invasion) so being sequentially overlapped
Amount.Those skilled in the art it is understood that unlimited minor time slice exist only in theory, it is practical when carrying out this step,
As long as unlimited minor time slice acquirement is sufficiently small, specifically takes how small those skilled in the art may determine that and obtain.
During oil reservoir development, injection-production ratio is balanced flood situation during characterization water flooding, and reflection produces liquid
Amount, the overall target contacted between water injection rate and strata pressure, and it is significant to oil field development measure and raising recovery ratio.
The determination of bottom and edge water injection-production ratio needs accurate water influx to rely on, so that deriving edge-wa- ter reservoir strata pressure restores speed
The relational expression of degree and injection-production ratio realizes calculating and reasonable prediction to injection-production ratio.
The embodiment of the present invention is described with above attached drawing, but the invention is not limited to above-mentioned specific
Embodiment, the above mentioned embodiment is only schematical, rather than restrictive, those skilled in the art
Under the inspiration of the present invention, without breaking away from the scope protected by the purposes and claims of the present invention, it can also make very much
Form, all of these belong to the protection of the present invention.
Claims (2)
1. a kind of method using instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx, which is characterized in that comprising such as
Lower step:
S1, strata pressure, oil reservoir recoverable reserves, cumulative liquid production, annular water layer function, non dimensional time, oil reservoir are obtained outside partly
The viscosity of diameter, porosity, system compressibility, water；
S2, fluid production rate is found out using following formula, and according to oil reservoir recoverable reserves, cumulative liquid production；
Wherein, dWe/ dt is fluid production rate, WeFor water influx, t is time, NpFor oil reservoir recoverable reserves, Nl is cumulative liquid production；
S3, using following formula, according to initial formation pressure, exploit any time formation pressure calculation go out water enchroachment (invasion) coefficient k ':
Wherein, piFor initial formation pressure, p is the strata pressure for exploiting any time；
S4, using following formula, according to annular water layer function, non dimensional time, oil reservoir outer radius, porosity, comprehensive compression system
The viscosity of number, water, calculates water influx:
Wherein: QDFor annular water layer function；tDFor non dimensional time；r0For oil reservoir outer radius；For porosity；ctFor comprehensive compression
Coefficient；μwFor the viscosity of water, pjIt is to indicate time tjWhen strata pressure, pressure incrementpi=p-1, when
Between period between j and time j+1 be unlimited minor time slice, Δ tDIndicate the non dimensional time under j time step, n table
Show total number of segment of unlimited minor time slice.
2. the method according to claim 1 using instantaneous equation calculation fracture-pore reservoir quasi-stable state water enchroachment (invasion) water influx,
It is characterized in that, in step S1, strata pressure, oil reservoir recoverable reserves, cumulative liquid production, oil reservoir outer radius, porosity, comprehensive compression
The viscosity of coefficient and water is to be obtained according to the daily continuous data of oil gas field.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN113236203A (en) * | 2021-07-09 | 2021-08-10 | 西南石油大学 | Water invasion dynamic production allocation method for carbonate rock with water-gas reservoir |
| CN116752948A (en) * | 2023-06-16 | 2023-09-15 | 重庆科技学院 | Water invasion dynamic analysis method for strong water flooding gas reservoir |
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| CN106097120A (en) * | 2016-06-14 | 2016-11-09 | 西南石油大学 | A kind of determination method of water-drive pool natural water encroachment, water filling and exploitation poised state |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113236203A (en) * | 2021-07-09 | 2021-08-10 | 西南石油大学 | Water invasion dynamic production allocation method for carbonate rock with water-gas reservoir |
| CN116752948A (en) * | 2023-06-16 | 2023-09-15 | 重庆科技学院 | Water invasion dynamic analysis method for strong water flooding gas reservoir |
| CN116752948B (en) * | 2023-06-16 | 2023-12-29 | 重庆科技学院 | Water invasion dynamic analysis method for strong water flooding gas reservoir |
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