CN106677750A - Carbonate rock reservoir karst cave-fracture reservoir body water injection indication curve interpretation model - Google Patents

Carbonate rock reservoir karst cave-fracture reservoir body water injection indication curve interpretation model Download PDF

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CN106677750A
CN106677750A CN201710020295.2A CN201710020295A CN106677750A CN 106677750 A CN106677750 A CN 106677750A CN 201710020295 A CN201710020295 A CN 201710020295A CN 106677750 A CN106677750 A CN 106677750A
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volume
reservoir
water
formula
oil
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CN106677750B (en
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乐平
唐潮
杜志敏
郭忠良
陈小凡
刘东晨
李壮
汤连东
谢志伟
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Southwest Petroleum University
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    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B43/00—Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
    • E21B43/16—Enhanced recovery methods for obtaining hydrocarbons
    • E21B43/20—Displacing by water
    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B49/00—Testing 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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  • Engineering & Computer Science (AREA)
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  • Environmental & Geological Engineering (AREA)
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  • General Life Sciences & Earth Sciences (AREA)
  • Geochemistry & Mineralogy (AREA)
  • Consolidation Of Soil By Introduction Of Solidifying Substances Into Soil (AREA)

Abstract

The invention provides a carbonate rock reservoir karst cave-fracture reservoir body water injection indication curve interpretation model. As for different compression coefficients of different reservoir medium karst caves and fractures, the model is used for distinguishing the influences on the water injection indication curve pattern from the elastic energy provided by the karst caves and the fractures, and considering the influences on the water injection indication curve pattern from oil-water two-phase elastic energy. The novel model can be used for distinguishing the different elastic compression coefficients of the karst caves and the fractures and calculating the respective proportions of the karst caves and the fracture reservoir body, thereby calculating the respective corresponding volumes.

Description

Carbonate Reservoir vug-fracture Reservoir Body water injection indication curve interpretation model
Technical field
The present invention relates to reservoir geology and development technique field, more particularly to a kind of storage of Carbonate Reservoir vug-fracture Collective's water injection indication curve interpretation model.
Background technology
Model traditional at present is that oil well directly bores chance solution cavity, does not consider the impact of crack Reservoir Body, and live In practice, what crack and solution cavity were collectively constituted preserve, and unit is more common, when the ratio shared by the fluid preserved in crack it is higher When, it is necessary to take into account the impact of crack Reservoir Body, it is therefore desirable to consider that pressure after water is injected in crack with solution cavity Reservoir Body respectively Situation of change to Carbonate Reservoir vug-fracture Reservoir Body water injection indication curve setting up model to analyze.And traditional mould Type is difficult to differentiate between the impact of solution cavity, the crack Reservoir Body difference compressed coefficient to water injection indication curve slope, it is impossible to by existing mould Type explains the ratio shared by solution cavity, crack Reservoir Body and calculates the profit volume of all types of Reservoir Bodies.
The content of the invention
It is an object of the invention to solve the defect that above-mentioned prior art is present, there is provided a kind of Carbonate Reservoir solution cavity- Crack Reservoir Body water injection indication curve interpretation model.
A kind of Carbonate Reservoir vug-fracture Reservoir Body water injection indication curve interpretation model, including：
(1) for Fracture System
The volume in initial condition lower unit body crack is Vpf, crude oil volume is Vof, stratum water volume is Vwf, then
Vpf=Vof+Vwf (1)
Oil saturation S wherein in crackofWith VofAnd VwfMeet following relation
After oil reservoir injects certain water yield, the pressure of oil reservoir is from original formation pressure piRise strata pressure up till now P, reservoir pressure lift-off value is Δ p=p-pi, for bounded reservoir, although the water in water body will not invade oil reservoir, but oil reservoir hole Gap volume can increase because of the rising of pressure, and the VBW in oil reservoir can decline because pressure rises,
Rift portion pore volume incrementss are：
ΔVpf=VpfCpfΔp (3)
In formula, CpfFor the compressed coefficient of fracture pore volume, MPa-1,
The decrement of rift portion stratum water is：
ΔVwf=VwfCwΔp (4)
In formula, CwFor the compressed coefficient of stratum water, MPa-1,
The reduction of stratum water volume in the increase of fracture pore volume and crack will all increase the volume of rift portion oil reservoir, The volume of oil reservoir is when Fracture System pressure rises to p：
Vcf=Vcfi+ΔVpr+ΔVwf (5)
In formula, VcfiFor crack Reservoir Body oil reservoir original volume, m3；
Wushu (3) and (4) substitute into (5) and can obtain
Vcf=Vcfi+VpfCpfΔp+VwfCwΔp (6)
The pore volume of rift portion is formula (7)
In formula, SWFor crack Reservoir Body water saturation, decimal；
Stratum water volume is formula (8) in crack
Wushu (7) and formula (8) substitute into (6) and obtain, the relational expression between rift portion oil reservoir volume and pressure：
In formula, CcfThe compressed coefficient of fracture volume, MPa-1；
(2) for cavern system
The volume of initial condition lower unit body solution cavity is Vpr, crude oil volume is Vor, stratum water volume is Vwr, then：
Vpr=Vor+Vwr (10)
After oil reservoir injects certain water yield, the pressure of oil reservoir is from original formation pressure piRise strata pressure up till now P, reservoir pressure lift-off value is Δ p=p-pi, for closing solution cavity, although the water in water body will not be exchanged with the external world, but VBW in oil reservoir can shrink because pressure rises, and ignoring oil reservoir solution cavity rock volume can be because of the change of pressure Change；
The decrement of solution cavity formation water is：
ΔVwr=VwrCwΔp (11)
In formula, CwFor the compressed coefficient of stratum water, MPa-1；
The compression of stratum water volume in solution cavity will increase the volume of solution cavity part oil reservoir.When cavern system pressure rises to p The volume of oil reservoir is：
Vcr=Vcri+ΔVwr (12)
In formula, VcriFor solution cavity Reservoir Body oil reservoir original volume, m3；
Wushu (11) substitutes into formula (12) and can obtain
Vcr=Vcri+VwrCwΔp (13)
By the definition R=V of water-oil factor example in solution cavitywr/VcriUnderstand：
Vwr=RVcri (14)
In formula, R for solution cavity water oil volume ratio, decimal；
Wushu (14) substitutes into formula (13) and obtains, the variation relation of cavern-type reservoir volume with pressure：
Vcr=Vcri(1+RCwΔp) (15)
(3) for crack and solution cavity whole system
Can be obtained by being analyzed above, the oil reservoir volume of solution cavity and crack whole system and the variation relation formula of pressure For：
In formula, VciFor solution cavity and the initial total measurement (volume) of crack Reservoir Body oil reservoir, m3；
If the ratio α of crevice volume and solution cavity volume is, it is known that above formula can also further be write as：
The injection volume that occupies of water is：NwBw, BwFor the volume factor of water, decimal；
Then injecting the volume that oil reservoir Crude Oil is occupied after water is：
Formula (18) is exactly to close the oil reservoir volume calculations formula in solution cavity Fracture reservoir development process, can be with by the formula Find out, oil reservoir volume increases with injection water water, and volume is ever-reduced；
If crude oil, the volume that crude oil is occupied are stored under initial condition in oil reservoir volume
Voi=Vci (19)
Subsurface volume is scaled to surface condition, reservoir geology reserves are obtained, and is stated with symbol N, calculating formula is：
BoiFor the volume factor of crude oil under reset pressure, decimal
It is obtained with according to the material balance of crude oil before and after water filling
BoFor the volume factor of crude oil under current pressure, decimal
NBo+NwBw=NBoi[1+[αCcf+(1-α)RCw]Δp] (22)
NwBw=NBoi[αCcf+(1-α)RCw]Δp+(Boi-Bo)N (23)
Obviously formula (23) is also to meet cumulative water injected NwWith the linear relation of pressure differential deltap p:
Again by the compressed coefficient of crude oil, i.e.,
NwBw=NBoi[αCcf+(1-α)RCw]Δp+CoBoiNΔp (25)
NwBw=NBoi[αCcf+(1-α)RCw+Co]Δp (26)
The form for being write as pressure is：By Δ p=p-po
Formula (27) is solution cavity water injection indication curve expression formula corresponding with crack dual media Reservoir Body.
The application with vug-fracture reservoir model as goal in research, for different reservoir medium solution cavity, the difference in crack The compressed coefficient, distinguishes impact of the elastic energy of its offer to water injection indication curve form, while considering the bullet of water-oil phase Performance amount is to water injection indication curve morphology influence.New model by many round water injection indication curves, can be used to distinguish solution cavity and The different elastic compression coefficients in crack, can be used to calculate each shared ratio of solution cavity, crack Reservoir Body, so as to calculate each Corresponding volume.
Description of the drawings
Fig. 1 is the water injection indication curve figure (different volume fraction а) of solution cavity Reservoir Body in crack of the present invention；
Specific embodiment
To make the object, technical solutions and advantages of the present invention clearer, below the present invention in technical scheme carry out clearly Chu, it is fully described by, it is clear that described embodiment is a part of embodiment of the invention, rather than the embodiment of whole.It is based on Embodiment in the present invention, it is every other that those of ordinary skill in the art are obtained under the premise of creative work is not made Embodiment, belongs to the scope of protection of the invention.
The derivation of model is still assumed to inject whole reservoir system after water and be instantaneously rapidly achieved to stablize.By the whole of single well-controlled Individual closing carbonate rock Reservoir Body reservoir is divided into crack and solution cavity two parts, if rift portion institute ratio of the total volume is a, together When consider the elastic energy of fluid water and reservoir rock, its compressed coefficient is respectively CoAnd Cw。
(1) for Fracture System
The volume in initial condition lower unit body crack is Vpf, crude oil volume is Vof, stratum water volume is Vwf, then
Vpf=Vof+Vwf (1)
Oil saturation S wherein in crackofWith VofAnd VwfMeet following relation
When oil reservoir injects the certain water yield (NW) after, the pressure of oil reservoir is from original formation pressure (pi) rising ground up till now Stressor layer (p), reservoir pressure lift-off value is Δ p=p-pi.For bounded reservoir, although the water in water body will not invade oil reservoir, But reservoir pore volume can increase because of the rising of pressure, the VBW in oil reservoir can decline because pressure rises.
Rift portion pore volume incrementss are：
ΔVpf=VpfCpfΔp (3)
In formula, CpfFor the compressed coefficient of Fracture System rock (pore volume), MPa-1。
The decrement of rift portion stratum water is：
ΔVwf=VwfCwΔp (4)
In formula, CwFor the compressed coefficient of stratum water, MPa-1。
The reduction of stratum water volume in the increase of fracture pore volume and crack will all increase the volume of rift portion oil reservoir. Volume when Fracture System pressure rises to p is：
Vcf=Vcfi+ΔVpf+ΔVwf (5)
Wushu (3) and (4) substitute into (5) and can obtain
Vcf=Vcfi+VpfCpfΔp+VwfCwΔp (6)
The pore volume of rift portion is formula (7)
In formula, SWFor crack Reservoir Body water saturation, decimal；
Stratum water volume is formula (8) in crack
Wushu (7) and formula (8) substitute into (6) and obtain, the relational expression between rift portion oil reservoir volume and pressure：
In formula, CcfThe compressed coefficient of fracture volume, MPa-1。
(2) for cavern system
The volume of initial condition lower unit body solution cavity is Vpr, crude oil volume is Vor, stratum water volume is Vwr, then：
Vpr=Vor+Vwr (10)
When oil reservoir injects the certain water yield (NW) after, the pressure of oil reservoir is from original formation pressure (pi) rising ground up till now Stressor layer (p), reservoir pressure lift-off value is Δ p=p-pi.For closing solution cavity, although the water in water body will not be sent out with extraneous Life is exchanged, but the VBW in oil reservoir can shrink because pressure rises, and ignores the meeting of oil reservoir solution cavity rock volume because pressure The change of power and change.
The decrement of solution cavity formation water is：
ΔVwr=VwrCwΔp (11)
In formula, CwFor the compressed coefficient of stratum water, MPa-1。
The compression of stratum water volume in solution cavity will increase the volume of solution cavity part oil reservoir.When cavern system pressure rises to p The volume of oil reservoir is：
Vcr=Vcri+ΔVwr (12)
In formula, VcriFor solution cavity Reservoir Body oil reservoir original volume, m3；
Wushu (11) substitutes into formula (12) and can obtain
Vcr=Vcir+VwrCwΔp (13)
By the definition R=V of water-oil factor example in solution cavitywr/VcriUnderstand：
Vwr=RVcir (14)
In formula, R for solution cavity water oil volume ratio, decimal.
Wushu (14) substitutes into formula (13) and obtains, the variation relation of cavern-type reservoir volume with pressure：
Vcr=Vcir(1+RCwΔp) (15)
(3) for crack and solution cavity whole system
Can be obtained by being analyzed above, the oil reservoir volume of solution cavity and crack whole system and the variation relation formula of pressure For：
In formula, VciFor solution cavity and the initial total measurement (volume) of crack Reservoir Body oil reservoir, m3；
If the ratio α of crevice volume and solution cavity volume is, it is known that above formula can also further be write as：
The injection volume that occupies of water is：NwBW,, BwFor the volume factor of water, decimal；
Then injecting the volume that oil reservoir Crude Oil is occupied after water is：
Formula (18) is exactly the oil reservoir volume calculations formula in bounded reservoir development process, can be seen that oil reservoir by the formula and holds Product increases with injection water water, and volume is ever-reduced.
If crude oil, the volume that crude oil is occupied are stored under initial condition in oil reservoir volume
Voi=Vci (19)
Subsurface volume is scaled to surface condition, reservoir geology reserves are obtained, and is stated with symbol N, calculating formula is：
BoiFor the volume factor of crude oil under reset pressure, decimal
It is obtained with according to the material balance of Qian Hou crude oil
BoFor the volume factor of crude oil under current pressure, decimal
NBo+NwBw=NBoi[1+[αCcf+(1-α)RCw]Δp] (22)
NwBw=NBoi[αCcf+(1-α)RCw]Δp+(Boi-Bo)N (23)
Obviously formula (23) is also to meet cumulative water injected NwWith the linear relation of pressure differential deltap p:
Again by the compressed coefficient of crude oil, i.e.,
NwBw=NBoi[αCcf+(1-α)RCw]Δp+CoBoiNΔp (25)
NwBw=NBoi[αCcf+(1-α)RCw+Co]Δp (26)
The form for being write as pressure is：By Δ p=p-po
Formula (27) is solution cavity water injection indication curve expression formula corresponding with crack dual media Reservoir Body, slope of a curve Not only with oil in-place, also with crack and solution cavity Crude Oil reserves proportion size, the relating to parameters such as water-oil factor example in solution cavity. The factor that the model considers is more comprehensive, therefore model is also required to provide more detailed parameter in practice, these Parameter value can be with appropriate combination and the achievement with well test analysis.
Solution cavity crack dual media reservoir model, it is assumed that the initial pressure of oil reservoir is identical, the Reservoir Body of rift portion by In the compressibility in crack itself, its comprehensive elastic compression coefficient ratio solution cavity is high, therefore total Reservoir Body shared by the Reservoir Body of crack Ratio а of volume is different, and the size of its elastic energy is also different, also results in the change of water injection indication curve slope.Different а Impact of the value to indicative curve is as shown in Figure 1, it can be seen that crack proportion is bigger, and the total elastic energy of Reservoir Body is bigger, Water filling is easier, and the slope of indicative curve is less, and when а=1, as pure crack Reservoir Body, when а=0, as pure solution cavity is preserved Body.
Additionally, the new model of the application is contemplated that impact of the water phase elastic energy to water injection indication curve form, thus it is suitable For the calculating of Reservoir Body profit volume in the case of following two：1. solution cavity preserves internal initial situation for oil-water coexistence；2. after Phase water filling is changed stepwise for injection water retaining in reservoir in solution cavity Reservoir Body during oil.It is true that improved new model primary condition more meets Reservoir Body Truth condition, water filling is actually closer with mining site for injection water retaining in reservoir change during oil.Can tentatively judge to preserve using theoretical model Body type, more accurately determines the volume of solution cavity, crack Reservoir Body volume, crude oil and stratum water.
Finally it should be noted that：Above example only to illustrate technical scheme, rather than a limitation；Although The present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those within the art that：It still may be used To modify to the technical scheme described in foregoing embodiments, or equivalent is carried out to which part technical characteristic； And these modification or replace, do not make appropriate technical solution essence depart from various embodiments of the present invention technical scheme spirit and Scope.

Claims (1)

1. a kind of Carbonate Reservoir vug-fracture Reservoir Body water injection indication curve interpretation model, it is characterised in that include：
(1) for Fracture System
The volume in initial condition lower unit body crack is Vpf, crude oil volume is Vof, stratum water volume is Vwf, then
Vpf=Vof+Vwf (1)
Oil saturation S wherein in crackofWith VofAnd VwfMeet following relation
S o f = V o f V o f + V w f - - - ( 2 )
After oil reservoir injects certain water yield, the pressure of oil reservoir is from original formation pressure piRise strata pressure p up till now, oil It is Δ p=p-p to hide pressure rise valuei, for bounded reservoir, although the water in water body will not invade oil reservoir, but reservoir pore body Product can increase because of the rising of pressure, and the VBW in oil reservoir can decline because pressure rises,
Rift portion pore volume incrementss are：
ΔVpf=VpfCpfΔp (3)
In formula, CpfFor the compressed coefficient of fracture pore volume, MPa-1,
The decrement of rift portion stratum water is：
ΔVwf=VwfCwΔp (4)
In formula, CwFor the compressed coefficient of stratum water, MPa-1,
The reduction of stratum water volume in the increase of fracture pore volume and crack will all increase the volume of rift portion oil reservoir, crack The volume of oil reservoir is when system pressure rises to p：
Vcf=Vcfi+ΔVpr+ΔVwf (5)
In formula, VcfiFor crack Reservoir Body oil reservoir original volume, m3；
Wushu (3) and (4) substitute into (5) and can obtain
Vcf=Vcfi+VpfCpfΔp+VwfCwΔp (6)
The pore volume of rift portion is formula (7)
V p f = 1 1 - s w V c f i - - - ( 7 )
In formula, SWFor crack Reservoir Body water saturation, decimal；
Stratum water volume is formula (8) in crack
V w f = s w 1 - s w V c f i - - - ( 8 )
Wushu (7) and formula (8) substitute into (6) and obtain, the relational expression between rift portion oil reservoir volume and pressure：
V c f = V c f i ( 1 + C p f + S w C w 1 - S w Δ p ) = V c f i ( 1 + C c f Δ p ) - - - ( 9 )
In formula, CcfThe compressed coefficient of fracture volume, MPa-1；
(2) for cavern system
The volume of initial condition lower unit body solution cavity is Vpr, crude oil volume is Vor, stratum water volume is Vwr, then：
Vpr=Vor+Vwr (10)
After oil reservoir injects certain water yield, the pressure of oil reservoir is from original formation pressure piRise strata pressure p up till now, oil It is Δ p=p-p to hide pressure rise valuei, for closing solution cavity, although the water in water body will not be exchanged with the external world, but oil reservoir In VBW can because pressure rise and shrink, ignore oil reservoir solution cavity rock volume can because of pressure change and become Change；
The decrement of solution cavity formation water is：
ΔVwr=VwrCwΔp (11)
In formula, CwFor the compressed coefficient of stratum water, MPa-1；
The compression of stratum water volume in solution cavity will increase the volume of solution cavity part oil reservoir, oil reservoir when cavern system pressure rises to p Volume be：
Vcr=Vcri+ΔVwr (12)
In formula, VcriFor solution cavity Reservoir Body oil reservoir original volume, m3；
Wushu (11) substitutes into formula (12) and can obtain
Vcr=Vcri+VwrCwΔp (13)
By the definition R=V of water-oil factor example in solution cavitywr/VcriUnderstand：
Vwr=RVcri (14)
In formula, R for solution cavity water oil volume ratio, decimal；
Wushu (14) substitutes into formula (13) and obtains, the variation relation of cavern-type reservoir volume with pressure：
Vcr=Vcri(1+RCwΔp) (15)
(3) for crack and solution cavity whole system
Can be obtained by being analyzed above, the oil reservoir volume of solution cavity and crack whole system is with the variation relation formula of pressure：
V c = V c f + V c r = V c f i ( 1 + C c f Δ p ) + V c r i ( 1 + RC w Δ p ) = ( V c f i + V c r i ) + V c f i C c f Δ p + V c r i RC w Δ p = V c i + V c f i C c f Δ p + V c f i RC w Δ p - - - ( 16 )
In formula, VciFor solution cavity and the initial total measurement (volume) of crack Reservoir Body oil reservoir, m3；
If the ratio α of crevice volume and solution cavity volume is, it is known that above formula can also further be write as：
V c = V c i + αV c i V c f Δ p + ( 1 - α ) V c i RC w Δ p = V c i [ 1 + [ αC c f + ( 1 - α ) RC w ] Δ p ] - - - ( 17 )
The injection volume that occupies of water is：NwBw, BwFor the volume factor of water, decimal；
Then injecting the volume that oil reservoir Crude Oil is occupied after water is：
V o = V c - N w B w = V c i [ 1 + [ αC c f + ( 1 - α ) RC w ] Δ p ] - N w B w - - - ( 18 )
Formula (18) is exactly to close the oil reservoir volume calculations formula in solution cavity Fracture reservoir development process, can be seen by the formula Go out, oil reservoir volume increases with injection water water, and volume is ever-reduced；
If crude oil, the volume that crude oil is occupied are stored under initial condition in oil reservoir volume
Voi=Vci (19)
Subsurface volume is scaled to surface condition, reservoir geology reserves are obtained, and is stated with symbol N, calculating formula is：
N = V o i B o i = V c i B o i - - - ( 20 )
BoiFor the volume factor of crude oil under reset pressure, decimal
It is obtained with according to the material balance of crude oil before and after water filling
N = V o B o = V c i [ 1 + [ αC c f + ( 1 - α ) RC w ] Δ p ] - N w B w B o - - - ( 21 )
BoFor the volume factor of crude oil under current pressure, decimal
NBo+NwBw=NBoi[1+[αCcf+(1-α)RCw]Δp] (22)
NwBw=NBoi[αCcf+(1-α)RCw]Δp+(Boi-Bo)N (23)
Obviously formula (23) is also to meet cumulative water injected NwWith the linear relation of pressure differential deltap p:
Again by the compressed coefficient of crude oil, i.e.,
C o = B o i - B o B o i Δ p - - - ( 24 )
NwBw=NBoi[αCcf+(1-α)RCw]Δp+CoBoiNΔp (25)
NwBw=NBoi[αCcf+(1-α)RCw+Co]Δp (26)
The form for being write as pressure is：By Δ p=p-po
p = N w B w NB o i [ αC c f + ( 1 - α ) RC w + C o ] + p 0 - - - ( 27 )
Formula (27) is solution cavity water injection indication curve expression formula corresponding with crack dual media Reservoir Body.
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CN112761582B (en) * 2021-02-05 2022-02-25 西南石油大学 Fracture-cavity type oil reservoir parameter calculation method
CN112761602B (en) * 2021-02-05 2022-02-22 西南石油大学 Far well reserve potential excavating method for fracture-cavity oil reservoir
CN112814653A (en) * 2021-02-05 2021-05-18 西南石油大学 Fracture-cavity type oil reservoir structure judgment method
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