CN110020397A - A method of it calculating reservoir and starts pressure - Google Patents
A method of it calculating reservoir and starts pressure Download PDFInfo
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Abstract
The present invention relates to reservoirs to start pressure regime, and in particular to a method of it calculates reservoir and starts pressure.The scheme of the invention is obtaining the relational expression of rock starting pressure gradient and net confining pressure by curve matching, the reservoir net impact being calculated is substituted into the relational expression, obtain the relational expression of reservoir net impact Yu reservoir starting pressure gradient, and obtained relational expression is subjected to integral operation along the flowing distance, to obtain reservoir starting pressure, the program is more accurate to the calculating of reservoir starting pressure, and calculated result is closer to actual value.
Description
Technical field
The present invention relates to reservoirs to start pressure regime, and in particular to a method of it calculates reservoir and starts pressure.
Background technique
Starting pressure is physics chemical action to occur between liquid-solid in seepage flow in duct due to fluid and in hole side wall
Upper formation seepage flow adsorbs boundary layer and generates, and absorption boundary layer is to be adsorbed on the adsorption layer in the side wall of duct being not easy to be employed,
The presence in absorption boundary layer is the main reason for generating starting pressure.
Currently, the measurement for reservoir starting pressure, ununified standard, does not have systematic method, very yet both at home and abroad
It is applied to the standard that the evaluation of reservoir also not can refer to how interior starting pressure is measured, starts pressure under reservoir conditions
Calculating need it is clear.The result of indoor calculating can not directly apply to Oil Field, for this reason, it may be necessary to clear rock starting pressure
The concept of power and reservoir starting pressure, the former is only in certain measurement result under the conditions of covering pressure, and the latter is to revert to reality
Measurement result under the reservoir conditions of border, and the practical exactly reservoir starting pressure for having reference value to scene.
In actual reservoir, starting pressure is not a definite value, but dynamic change, in reservoir there is pressure in Pressure-seepage Flow
Funnel is dropped, is also variation, rock pore along the net overburden pressure (difference of burden pressure and strata pressure) of seepage direction everywhere
Gap compression degree is different, inevitably results in and generates different starting pressure under different net overburden pressures, it then becomes necessary to open
The more detailed research of exhibition further determines that the size of the starting pressure in actual reservoir, the starting pressure measured rather than just interior
Force gradient is directly so simple with the product of the flowing distance.However, the stress condition of general reservoir is all harsher, it is indoor to set
It is standby to be extremely difficult to require, therefore analysis mining how indoors is carried out on the basis of test data, thus using indoor measurement
As a result come carry out reservoir it is practical starting pressure calculating, and then guarantee evaluation it is more accurate, be reservoir evaluation and numerical simulation
Relatively reliable parameter is provided, problem in the urgent need to address at present is become.
Summary of the invention
The object of the present invention is to provide a kind of methods of calculating reservoir starting pressure, utilize indoor measurement data to solve
Calculate the inaccurate problem of actual reservoir starting pressure.
To achieve the above object, the solution of the present invention includes a kind of method of calculating reservoir starting pressure, including following step
It is rapid:
Under the net confining pressure of different set, it is calculated rock starting pressure gradient, fitting obtains the net confining pressure and described
The curve of starting pressure gradient and the fit equation of the two；
Actual reservoir strata pressure and actual reservoir burden pressure is calculated, corresponding reservoir is then calculated and answers only
Power, the reservoir net impact=actual reservoir burden pressure-actual reservoir strata pressure；
The reservoir net impact is brought into the fit equation and obtains reservoir starting pressure gradient, the reservoir is started and is pressed
Force gradient carries out integral operation on setting the flowing distance, and the reservoir obtained on the setting the flowing distance starts pressure.
The beneficial effects of the present invention are: the relational expression of rock starting pressure gradient and net confining pressure is obtained by curve matching,
The reservoir net impact being calculated is substituted into the relational expression, obtains the relation table of reservoir net impact Yu reservoir starting pressure gradient
Integral operation is carried out along setting the flowing distance up to formula, and by obtained relational expression, so that actual reservoir starting pressure is obtained,
The program is more accurate to the calculating of reservoir starting pressure, and calculated result is closer to actual value.
Further, the rock starting pressure gradient is calculated using steady state method or cold store enclosure.
Further, the fitting is carried out to the net confining pressure and the rock starting pressure gradient in setting coordinate system
And obtain the fit equation；The coordinate system that sets is using the net confining pressure as abscissa, with the rock starting pressure gradient
For ordinate；The fit equation are as follows:
G=f (σ)
G is the rock starting pressure gradient in formula, and unit MPa/m, σ are the net confining pressure, unit MPa.
Further, the calculation formula of the actual reservoir strata pressure are as follows:
P is the actual reservoir strata pressure, p in formulaeAnd pwfRespectively terminal pressure and bottom pressure, unit MPa；
reAnd rwIt is Control Radius and extraction well radius, unit m respectively；R is the corresponding the flowing distance of set point, and unit is m；
The calculation formula of the actual reservoir burden pressure are as follows:
P in formulacFor actual reservoir burden pressure, unit MPa；ρrFor overlying rock averag density, unit is gram every cube
Centimetre；H is depth of reservoirs, unit m.
Further, the reservoir net impact calculation formula are as follows:
σc=pc-p
σ in formulacFor the reservoir net impact, unit MPa.
Further, the calculation formula of the reservoir starting pressure gradient are as follows:
Gc=f (σc)
G in formulacFor the reservoir starting pressure gradient, unit MPa/m.
Further, integral operation, formula are carried out to the reservoir starting pressure gradient on setting the flowing distance are as follows:
G in formulazFor the starting pressure on setting the flowing distance, unit MPa, L1And L2The respectively described setting seepage flow away from
From beginning and end.
The further beneficial effect of the present invention is: by the substitution of specific formula, being calculated on setting the flowing distance
Reservoir starts pressure, which is more nearly actual reservoir starting pressure, and error is smaller.
Detailed description of the invention
Fig. 1 is a kind of flow chart for the method for calculating reservoir starting pressure of the present invention；
Fig. 2 is the relational graph of starting pressure gradient and net confining pressure in the embodiment of the present invention.
Specific embodiment
The present invention will be further described in detail with reference to the accompanying drawing.
The purpose of the present invention is for the starting of indoor measurement reservoir pressure method is not scientific and reservoir starting pressure gauge calculate with
The problem of not being inconsistent actually provides a kind of method of calculating reservoir starting pressure, overcomes the reservoir conditions that lose contact with reality in the past
Reservoir starting pressure gauge calculates method, to preferably meet oil-gas reservoir actual development needs.
What net confining pressure mentioned in the present invention and reservoir net impact were expressed is a meaning, but the occasion used is different,
Laboratory test generally uses net confining pressure, indicates the difference of confining pressure and pore pressure；And actual reservoir does not have confining pressure, only upper overlying strata
The burden pressure that stone capping layer provides, therefore indicate using reservoir net impact burden pressure that reservoir is subject to and strata pressure
Difference.Laboratory test represents burden pressure using confining pressure, with pore pressure generation in order to closer with the stress state of actual reservoir
Table strata pressure.
It is as shown in Figure 1 the flow chart of the method for the invention, comprising the following steps:
1. rock starting pressure gradient measures
Two kinds of measuring methods of 1.1 rock starting pressure gradients
If then using net confining pressure (difference for being defined as confining pressure Yu core import and export pressure mean values) mould using steady state method
Constant pressure injection mode under formula, the i.e. injection of holding fluid constant pressure, confining pressure automatically track adjustment and keep net confining pressure values constant, point
Flow when seepage stability under different injection pressures is not measured, and inlet outlet pressure differential is then converted to pressure difference ladder divided by the flowing distance
It spends (unit: MPa/m), and is abscissa using flow as ordinate using differential pressure gradients, the progress linear regression of above-mentioned experimental point is intended
It closes, acquiring flow as the corresponding differential pressure gradients of 0mL/min is starting pressure gradient.
According to cold store enclosure, then "-pressure balance method is employed in unstable state " is used, i.e., under certain confining pressure, is infused from rock core
Enter end and fluid is injected with extremely low flow, slowly increase pressure, in first gas of rock core outlet section (section emptying before testing)
When bubble is emerged, stop injection, close exits and entrances valve, observe inlet outlet pressure differential value, which no longer changes in 48h, terminate
Experiment, by the numerical value measured divided by rock core length, is converted into rock starting pressure gradient, unit MPa/m.
1.2 rock starting pressure gradients and net impact relationship are fitted
According to said determination method, the rock starting pressure gradient numerical value under different net confining pressures is measured, and respectively to enclose only
Pressure is abscissa, is fitted using rock starting pressure gradient as ordinate, and the expression formula of the two is acquired:
G=f (σ) (1)
2. the determination of reservoir starting pressure
2.1 strata pressure change curves
It can carry out deriving according to mathematical model and seek strata pressure variation characteristic, if can be adopted without related derivation formula
With the planar radial flowing pressure distribution formula with general significance:
In formula: pe、pwfRespectively terminal pressure and bottom pressure, MPa；re、rwRespectively Control Radius and extraction well half
Diameter, unit m；R is the corresponding the flowing distance in certain point, unit m.
The net calculating of surrounding rock pressure of 2.2 reservoirs
The upper of actual reservoir is converted according to the following equation in conjunction with related datas such as depth, the rock densities of actual reservoir
Cover pressure value:
In above formula, PcFor overburden pressure, MPa；ρrFor overlying rock averag density, generally 2.3g/cm3；H is storage
Layer depth, unit m.
Reservoir net impact is the difference of certain position corresponding burden pressure and reservoir formation pressure in reservoir, as formula
(3) with the difference of formula (2), it may be assumed that
σc=pc-p (4)
2.3 reservoir starting pressure gauges are calculated
Formula (4) is brought into formula (1) to get the expression formula of starting pressure gradient at position a certain into reservoir, i.e. public affairs
Formula (5):
Gc=f (σc) (5)
Then starting pressure total along a certain section of reservoir of the flowing distance are as follows:
G in above formulazAs a certain micro- section of (L2-L1) on starting pressure on the flowing distance, L2And L1Unit is m.
A specific embodiment is given below for the method for the invention, the present embodiment is with certain reservoir of Zhongyuan Oil Field
For rock core, the experimental point starting pressure gradient of measurement with the relationship of net confining pressure as shown in Fig. 2, in Fig. 2 abscissa x representative enclose only
Pressure, ordinate y represent starting pressure gradient, then the relationship of starting pressure gradient and net confining pressure are as follows:
G=0.0126Ln (σ) -0.0118 (7)
The p of Study In Reservoire、pwfRespectively 30MPa and 20MPa, re、rwRespectively 300m and 0.12m substitutes into formula (2) meter
It calculates, obtains planar radial flowing pressure distribution formula are as follows:
Selection depth of reservoirs H is 3750m, is 74.35MPa according to the burden pressure that formula (3) is calculated, then according to public affairs
Reservoir net impact expression formula is calculated in formula (4) are as follows:
When r takes 300m, corresponding reservoir net impact is 44.35MPa.
It brings reservoir net impact into formula (7), then acquires the expression formula of starting pressure gradient at a certain position are as follows:
Then acquire the expression formula for starting pressure on the flowing distance are as follows:
If such as calculating starting pressure on the flowing distance from shaft bottom to 100m, L2=100, according to petroleum industry mark
Quasi- setting L1It is 0.12, substitutes into formula (11) and G is calculatedz=3.67MPa.
It is corresponding at the starting point shaft bottom of calculating if being calculated according to the product for directlying adopt starting pressure gradient and the flowing distance
Net impact be 54.35MPa, corresponding starting pressure gradient is 0.0385MPa/m, is opened according to the calculating of the corresponding net impact in shaft bottom
Dynamic pressure, the then total starting pressure obtained on the flowing distance are 0.0385*100=3.85MPa.
The total starting pressure in 0~100m distance being calculated through the invention is 3.67MPa, and according to generalling use
The result that calculates of the direct product for measuring starting pressure gradient and the flowing distance using interior be 3.85MPa, the two differs
0.18MPa, calculation method of the present invention are combined with reservoir actual stress situation, have fully considered that actual formation condition pushes
Power landing situation, therefore calculated result is more accurate.
Specific embodiment of the present invention is presented above, by curve matching obtain rock starting pressure gradient and
The reservoir net impact being calculated is substituted into the relational expression by the relational expression of net confining pressure, obtains reservoir net impact and reservoir starts
The relational expression of barometric gradient, and obtained relational expression is subjected to integral operation along the flowing distance, to obtain reality
Reservoir starts pressure.
It is however noted that including the steps that several steps are specific in above-mentioned specific embodiment, the step is not represented
Method of the invention centainly carries out implementing just to be able to achieve according to the sequence of the step, and the present embodiment is specific in order to provide one
Embodiment has just enumerated the sequence of the step, belongs to side of the present invention for the reasonable change or exchange of wherein step
Within the scope of method, protected by the present invention.
Key point of the invention is to fit rock starting pressure gradient and net confining pressure according to the determination data in laboratory
Relational expression, provide the foundation to start pressure to calculate reservoir according to reservoir net impact, therefore measure rock in the present invention
Starting pressure gradient and the mode of reservoir net impact are not limited to concrete scheme provided by the invention, are also possible to the prior art
The replacement of middle other modes, the technical solution formed in this way are to be finely adjusted to be formed to above-described embodiment, this technical solution
It still falls in protection scope of the present invention.
Claims (7)
1. a kind of method for calculating reservoir starting pressure, which comprises the following steps:
Under the net confining pressure of different set, rock starting pressure gradient is calculated, fitting obtains the net confining pressure and the rock
The curve of starting pressure gradient and the fit equation of the two；
Actual reservoir strata pressure and actual reservoir burden pressure is calculated, corresponding reservoir net impact is then calculated,
The reservoir net impact=actual reservoir burden pressure-actual reservoir strata pressure；
The reservoir net impact is brought into the fit equation and obtains reservoir starting pressure gradient, to reservoir starting pressure ladder
Degree carries out integral operation on setting the flowing distance, and the reservoir obtained on the setting the flowing distance starts pressure.
2. a kind of method for calculating reservoir starting pressure according to claim 1, it is characterised in that: use steady state method or non-
The rock starting pressure gradient is calculated in steady state method.
3. a kind of method for calculating reservoir starting pressure according to claim 1 or claim 2, it is characterised in that: in setting coordinate system
In the fitting carried out to the net confining pressure and the rock starting pressure gradient and obtain the fit equation；The setting is sat
Mark system is using the net confining pressure as abscissa, using the rock starting pressure gradient as ordinate；The fit equation are as follows:
G=f (σ)
G is the rock starting pressure gradient in formula, and unit MPa/m, σ are the net confining pressure, unit MPa.
4. a kind of method for calculating reservoir starting pressure according to claim 3, it is characterised in that: the actual reservoir stratum
The calculation formula of pressure are as follows:
P is the actual reservoir strata pressure, p in formulaeAnd pwfRespectively terminal pressure and bottom pressure, unit MPa；reWith
rwIt is Control Radius and extraction well radius, unit m respectively；R is the corresponding the flowing distance of set point, and unit is m；
The calculation formula of the actual reservoir burden pressure are as follows:
P in formulacFor actual reservoir burden pressure, unit MPa；ρrFor overlying rock averag density, unit is gram every cube li
Rice；H is depth of reservoirs, unit m.
5. a kind of method for calculating reservoir starting pressure according to claim 4, it is characterised in that: the reservoir net impact meter
Calculate formula are as follows:
σc=pc-p
σ in formulacFor the reservoir net impact, unit MPa.
6. a kind of method for calculating reservoir starting pressure according to claim 5, it is characterised in that: the reservoir starts pressure
The calculation formula of gradient are as follows:
Gc=f (σc)
G in formulacFor the reservoir starting pressure gradient, unit MPa/m.
7. a kind of method for calculating reservoir starting pressure according to claim 6, it is characterised in that: on setting the flowing distance
Integral operation, formula are carried out to the reservoir starting pressure gradient are as follows:
G in formulazFor the starting pressure on setting the flowing distance, unit MPa, L1And L2The respectively described setting the flowing distance
Beginning and end.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110187403A (en) * | 2019-05-10 | 2019-08-30 | 中国石油大学(华东) | A method of prediction cap rock maximum closes hydrocarbon pillar height degree |
| CN111520136A (en) * | 2020-06-29 | 2020-08-11 | 东北石油大学 | Method for calculating pressure behind blanking plug nozzle by considering water injection starting pressure gradient |
| CN116894572A (en) * | 2023-09-11 | 2023-10-17 | 西南石油大学 | Reasonable production allocation method for ultra-deep well considering sand production after rock collapse |
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Cited By (5)
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|---|---|---|---|---|
| CN110187403A (en) * | 2019-05-10 | 2019-08-30 | 中国石油大学(华东) | A method of prediction cap rock maximum closes hydrocarbon pillar height degree |
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| CN111520136A (en) * | 2020-06-29 | 2020-08-11 | 东北石油大学 | Method for calculating pressure behind blanking plug nozzle by considering water injection starting pressure gradient |
| CN116894572A (en) * | 2023-09-11 | 2023-10-17 | 西南石油大学 | Reasonable production allocation method for ultra-deep well considering sand production after rock collapse |
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Application publication date: 20190716 |