CN115680584B - Quick prediction method for well closing casing pressure of overflow medium for injecting water into adjacent well - Google Patents
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Abstract
The invention relates to the technical field of petroleum drilling, in particular to a method for rapidly predicting the well closing casing pressure of overflow medium for injecting water into an adjacent well, which comprises the following steps: when overflow is found, respectively recording overflow data at different moments t i to form a plurality of overflow data sets; calculating the difference between the drilling fluid outlet density and the inlet density according to the overflow data in each overflow data set, and simultaneously calculating the pre-closing casing pressure P Cover i at the time t i: when the difference value of the outlet density and the inlet density of the drilling fluid is within a preset range value, closing the well, stopping recording overflow data, calculating the well closing casing pressure P Cover according to the calculated n pre-well closing casing pressures P Cover i, and performing subsequent process construction according to the well closing casing pressures P Cover . By the prediction method, the final well closing casing pressure can be rapidly and accurately predicted by only collecting data on the ground, a large amount of precious well control treatment time can be saved for a drilling site, and data support is provided for subsequent well control scheme formulation.
Description
Technical Field
The invention relates to the technical field of petroleum drilling, in particular to a method for rapidly predicting the well closing casing pressure of overflow medium for injecting water into an adjacent well.
Background
In recent years, the 'injection-before-production' has become a main development mode of a plurality of petroleum exploitation enterprises, along with the continuous improvement of water injection quantity and water injection scale, the reservoir pressure in an oil area is abnormal, the complex problems of reservoir water discharge, water discharge/leakage coexistence and the like are commonly existed, but no measurement method of pressure while drilling exists in the current development mode, thus leading to high risk of well control in drilling and later fracturing modification, and the rapid calculation of stratum pressure and required well control liquid density according to parameters such as wellhead return liquid, wellhead casing pressure, drilling and the like is extremely important.
The method for obtaining the wellhead casing pressure value is adopted at present on site: and (5) detecting overflow or suspected overflow, and immediately closing the well. After closing the well, waiting for the wellhead casing pressure value to slowly rise to a stable value. If the casing pressure value is greater than the maximum allowable shut-in casing pressure, a choke cycle is also required to avoid damaging wellhead equipment or the lost circulation formation. In this process, valuable kill disposal time will be delayed, 30 minutes less, and 5-6 hours more.
Disclosure of Invention
In order to solve the technical problems, the invention provides a method for rapidly predicting the well closing casing pressure of the overflow medium for injecting water into the adjacent well, which can rapidly and accurately predict the final well closing casing pressure by only collecting data on the ground, can save a great amount of precious well-killing treatment time for a drilling site and provides data support for the subsequent well-killing scheme formulation.
The invention is realized by adopting the following technical scheme:
a method for rapidly predicting the well closing casing pressure of overflow medium for injecting water into adjacent well is characterized in that: the method comprises the following steps:
When overflow is found, respectively recording overflow data at different moments t i to form a plurality of overflow data sets; wherein, the overflow data set formed at the moment i=1, 2, 3 … … n and t n is the last overflow data set before well closing;
Calculating the difference between the drilling fluid outlet density and the inlet density according to the overflow data in each overflow data set, and simultaneously calculating the pre-closing casing pressure P Cover i at the time t i:
P Cover i=pi+(ρi-ρi+1)gh-(Qi+1-Qi)μwd/k Ground (floor) A Leakage device
Wherein P Cover i is the pre-shut-in casing pressure at the time t i; p i is the wellhead annulus pressure at time t i; h is the vertical depth of the overflow layer, ρ i is the density of the drilling fluid outlet at the time t i, ρ i+1 is the density of the drilling fluid outlet at the time t i+1, Q i+1 is the overflow total amount in the time period from t i+1 to t i+2, and Q i is the overflow total amount in the time period from t i to t i+1; mu w is the viscosity of the lost annulus liquid, d is the length of the lost point, k Ground (floor) is the stratum permeability of the lost point, and A Leakage device is the cross-sectional area of the lost point;
When the difference value between the drilling fluid outlet density and the drilling fluid inlet density is within a preset range value, closing the well, stopping recording overflow data, and calculating the well closing casing pressure P Cover according to the calculated n pre-well closing casing pressures P Cover i:
P Cover =(P Cover 1+P Cover 2+P Cover 3+……+P Cover n)ψ
Wherein, psi is a correction coefficient, a constant;
And performing subsequent construction according to the shut-in casing pressure P Cover .
The construction of the subsequent process according to the shut-in casing pressure P Cover specifically comprises the following steps: if P Cover is more than or equal to the maximum allowable well closing casing pressure, performing a throttling circulation well killing procedure; if P Cover is less than the maximum allowable well closing casing pressure, well killing construction is carried out.
When P Cover is less than the maximum allowable well closing casing pressure, calculating the corresponding well-killing drilling fluid density according to the calculated well closing casing pressure, and organizing well-killing construction.
The preset range value is 0.01-0.02g/cm 3.
The overflow data includes drilling parameters and drilling fluid performance parameters.
The drilling parameters include an inlet density, an outlet density, an inlet flow rate, and an outlet flow rate.
The drilling fluid parameters include density, funnel viscosity, plastic viscosity, apparent viscosity, dynamic shear force, static shear force, fluidity index, and consistency coefficient.
The specific steps of respectively recording overflow data at different moments t i are as follows: a set of overflow data was recorded every 2 minutes prior to shut-in.
The concrete calculation method of the pre-shut-in casing pressure P Cover i comprises the following steps:
the formation pressure P 0 during normal drilling is calculated:
P0=ρ×g×h+P△
wherein ρ is the density of the inlet drilling fluid during normal drilling; h is the vertical depth of the overflow layer, and P △ is the circulating pressure consumption;
According to a shaft continuous equation, a momentum conservation theorem and a Bernoulli equation, and then establishing a shaft continuous flow equation according to overflow total amount and Darcy law:
P Differential pressure =P Stratum layer -P Well bottom =(Qi+1-Qi)μwd/k Ground (floor) A Leakage device
Wherein P Differential pressure is the pressure difference between the stratum and the annular space, P Stratum layer is the pore pressure of the stratum at the position of the leakage point, and P Well bottom is the bottom hole pressure; the total overflow amount of the time period from t i+1 to t i+2 is Q i+1, and the total overflow amount of the time period from t i to t i+1 is Q i; mu w is the viscosity of the lost annulus liquid, d is the length of the lost point, k Ground (floor) is the stratum permeability of the lost point, and A Leakage device is the cross-sectional area of the lost point;
According to Bernoulli's principle, because the drill rod inlet and annulus casing pressure positions are the same, and the flow velocity in the shut-in well Shi Zuangan and the annulus is zero, namely the inlet flow velocity and the outlet flow velocity are equal to 0, the momentum conservation relation of the whole system exists:
pi+ρigh=(Qi+1-Qi)μwd/k Ground (floor) A Leakage device +P Cover i+ρi+1gh
The p i is the annular pressure at the wellhead at the moment t i; h is the vertical depth of the overflow layer, ρ i is the density of the drilling fluid outlet at the time t i, and ρ i+1 is the density of the drilling fluid outlet at the time t i+1;
Therefore:
P Cover i=pi+(ρi-ρi+1)gh-(Qi+1-Qi)μwd/k Ground (floor) A Leakage device .
the method for establishing the continuous flow equation of the shaft according to the continuous equation of the shaft, the momentum conservation theorem and the Bernoulli equation and the total overflow amount and the Darcy law specifically comprises the following steps:
The wellbore continuity equation is:
Q=V1A1=V2A2=V3A3=……
Wherein Q is flow, V1, V2, V3...the annular flow velocities at different times, A1, A2, a 3..the annular cross-sectional areas at different times, respectively;
Respectively calculating the outlet overflow amounts of the time periods t 1 to t 2, the outlet overflow amounts of the time periods t 2 to t 3, the outlet overflow amounts of the time periods t 3 to t 4 and so on;
The momentum conservation theorem is:
m1v1+m2v2+...=m1v1'+m2v2'+...
Wherein m1 and m2 … are respectively annular drilling fluid masses at different moments, v1 and v2 … are respectively drilling fluid outlet flow rates at different moments, and v1', v2' … are respectively drilling fluid inlet flow rates at different moments;
because the annulus is in an open state in the drilling process, the flow pressure at the wellhead of the annulus is atmospheric pressure at the moment; according to the bernoulli equation:
wherein ρ is the drilling fluid outlet density and v is the drilling fluid outlet flow rate; p g=P Differential pressure +P Cover ,Pg is the atmospheric pressure received at the annular wellhead, P Differential pressure is the pressure difference between the stratum and the annular space, and P Cover is the well closing casing pressure;
Therefore:
Deriving a pressure difference P Differential pressure between the stratum and the annular space according to the overflow quantity and Darcy law as follows:
P Differential pressure =P Stratum layer -P Well bottom =(Qi+1-Qi)μwd/k Ground (floor) A Leakage device 。
compared with the prior art, the invention has the beneficial effects that:
1. The method can rapidly predict and calculate the well closing casing pressure only aiming at single flow under the condition of formation overflow water outlet, and time is not wasted due to waiting for observation. Compared with the currently commonly adopted method for observing the casing pressure value during well shut-in, the method has the advantages that precious time for disposing overflow is saved, opinion and suggestion are provided for disposing overflow, the field labor intensity is reduced, and the well control risk control capability is improved.
2. In the invention, a plurality of groups of data are respectively used for calculating the pre-closing casing pressure, the pre-closing casing pressure can be corrected to obtain the closing casing pressure, and the calculation accuracy is high.
Detailed Description
Example 1
As a basic implementation mode of the invention, the invention comprises a method for rapidly predicting the shut-in casing pressure of the overflow medium for injecting water into the adjacent well, which comprises the following steps:
When overflow is found, overflow data at different moments t i are recorded respectively, so that a plurality of overflow data sets are formed. Wherein, the overflow data set formed at the time of i=1, 2, 3 … … n and t n is the last overflow data set before well closing.
Calculating the difference between the drilling fluid outlet density and the inlet density according to the overflow data in each overflow data set, and simultaneously calculating the pre-closing casing pressure P Cover i at the time t i:
P Cover i=pi+(ρi-ρi+1)gh-(Qi+1-Qi)μwd/k Ground (floor) A Leakage device
Wherein P Cover i is the pre-shut-in casing pressure at the time t i; p i is the wellhead annulus pressure at time t i; h is the vertical depth of the overflow layer, ρ i is the density of the drilling fluid outlet at the time t i, ρ i+1 is the density of the drilling fluid outlet at the time t i+1, Q i+1 is the overflow total amount in the time period from t i+1 to t i+2, and Q i is the overflow total amount in the time period from t i to t i+1; mu w is the viscosity of the lost annulus fluid, d is the lost point length, k Ground (floor) is the lost point formation permeability, and A Leakage device is the lost point cross-sectional area.
When the difference value of the drilling fluid outlet density and the inlet density is within a preset range value, shutting in the well, stopping recording overflow data, and calculating a shut-in casing pressure P Cover according to the pre-shut-in casing pressure P Cover i:
P Cover =(P Cover 1+P Cover 2+P Cover 3+……+P Cover n)ψ
Wherein, psi is a correction coefficient, a constant.
And performing subsequent construction according to the shut-in casing pressure P Cover .
Example 2
As a preferred embodiment of the invention, the invention comprises a method for rapidly predicting the casing pressure of a shut-in well by injecting water into an adjacent well by an overflow medium, comprising the following steps:
When overflow is found, overflow data at different moments t i are recorded respectively, so that a plurality of overflow data sets are formed. Wherein, the overflow data set formed at the time of i=1, 2,3 … … n and t n is the last overflow data set before well closing. The overflow data includes drilling parameters and drilling fluid performance parameters. The drilling parameters include an inlet density, an outlet density, an inlet flow rate, and an outlet flow rate. The inlet and outlet drilling fluids include density, funnel viscosity, plastic viscosity, apparent viscosity, dynamic shear force, static shear force, fluidity index, and consistency coefficient.
Calculating the difference between the drilling fluid outlet density and the inlet density according to the overflow data in each overflow data set, and simultaneously calculating the pre-closing casing pressure P Cover i at the time t i:
P Cover i=pi+(ρi-ρi+1)gh-(Qi+1-Qi)μwd/k Ground (floor) A Leakage device
Wherein P Cover i is the pre-shut-in casing pressure at the time t i; p i is the wellhead annulus pressure at time t i; h is the vertical depth of the overflow layer, ρ i is the density of the drilling fluid outlet at the time t i, ρ i+1 is the density of the drilling fluid outlet at the time t i+1, Q i+1 is the overflow total amount in the time period from t i+1 to t i+2, and Q i is the overflow total amount in the time period from t i to t i+1; mu w is the viscosity of the lost annulus fluid, d is the lost point length, k Ground (floor) is the lost point formation permeability, and A Leakage device is the lost point cross-sectional area.
When the difference value of the drilling fluid outlet density and the inlet density is within a preset range value, shutting in the well, stopping recording overflow data, and calculating a shut-in casing pressure P Cover according to the pre-shut-in casing pressure P Cover i:
P Cover =(P Cover 1+P Cover 2+P Cover 3+……+P Cover n)ψ
Wherein, psi is a correction coefficient, a constant.
And carrying out subsequent construction according to the well closing casing pressure P Cover : if P Cover is more than or equal to the maximum allowable well closing casing pressure, performing a throttling circulation well killing procedure; if P Cover is less than the maximum allowable well closing casing pressure, calculating the corresponding well-killing drilling fluid density according to the predicted well closing casing pressure, and organizing well-killing construction.
Example 3
As an optimal implementation mode of the invention, the invention comprises a method for rapidly predicting the shut-in casing pressure of the overflow medium for injecting water into the adjacent well, which comprises the following steps:
When overflow is found, a group of overflow data is recorded every 2 minutes before well closing, a plurality of groups of overflow data are formed by the overflow data at different moments t i, and the highest allowable well closing casing pressure is defined. Wherein, the overflow data set formed at the time of i=1, 2, 3 … … n and t n is the last overflow data set before well closing.
The overflow data includes drilling parameters and drilling fluid performance parameters. The drilling parameters include total overflow, circulation pump pressure, inlet density, outlet density, inlet flow rate, outlet flow rate, vertical depth when overflow occurs, and size of the well drilling tool. The drilling fluid parameters include density, funnel viscosity, plastic viscosity, apparent viscosity, dynamic shear force, static shear force, fluidity index, and consistency coefficient. The drilling fluid performance parameters can be used to determine correction factors, drilling fluid performance can be affected by formation overflow water, and the greater the performance change, the more overflow water is proved, and vice versa.
Calculating the difference between the drilling fluid outlet density and the inlet density according to the overflow data in each overflow data set, and simultaneously calculating the pre-closing casing pressure P Cover i at the time t i:
P Cover i=pi+(ρi-ρi+1)gh-(Qi+1-Qi)μwd/k Ground (floor) A Leakage device
Wherein P Cover i is the pre-shut-in casing pressure at the time t i; p i is the wellhead annulus pressure at time t i; h is the vertical depth of the overflow layer, ρ i is the density of the drilling fluid outlet at the time t i, ρ i+1 is the density of the drilling fluid outlet at the time t i+1, Q i+1 is the overflow total amount in the time period from t i+1 to t i+2, and Q i is the overflow total amount in the time period from t i to t i+1; mu w is the viscosity of the lost annulus fluid, d is the lost point length, k Ground (floor) is the lost point formation permeability, and A Leakage device is the lost point cross-sectional area. The length of the overflow point and the cross-sectional area of the leakage point are dynamic change data, and can be obtained from logging data by combining stratum data, and the stratum permeability of the leakage point is known stratum parameter data.
When the difference value between the outlet density and the inlet density of the drilling fluid is within a preset range, namely the difference value is within a range of 0.01-0.02g/cm 3, closing the well, and stopping recording overflow data. And calculating the well closing casing pressure P Cover according to the calculated n pre-well closing casing pressures P Cover i:
P Cover =(P Cover 1+P Cover 2+P Cover 3+……+P Cover n)ψ
wherein, psi is a correction coefficient, a constant. The psi needs to be determined by considering the water injection pressure near the water injection well, the data amount acquired during overflow, the change amount of the outlet drilling fluid performance and an additional safety factor, wherein the additional safety factor can be 120% of the predicted pressure.
And performing subsequent construction according to the shut-in casing pressure P Cover . More specifically, if P Cover is more than or equal to the maximum allowable well closing casing pressure, preparing a weighting drilling fluid with corresponding density added with 0.02g/cm 3 according to the estimated well closing casing pressure, and performing a throttling circulation well-killing procedure; if P Cover is less than the maximum allowable well closing casing pressure, preparing the weighting drilling fluid with the corresponding density of 0.02g/cm 3 for well control according to the calculated well closing casing pressure, and selecting a well control mode according to field equipment and field conditions.
In this embodiment, the specific calculation process for the pre-shut-in casing pressure P Cover i includes the following steps:
the formation pressure P 0 during normal drilling is calculated:
P0=ρ×g×h+P△
Wherein ρ is the density of the inlet drilling fluid, g/cm 3, during normal drilling; h is the vertical depth of the overflow layer, m and P △ is the cyclic pressure consumption and MPa.
And establishing a shaft continuous flow equation according to the shaft continuous equation, the momentum conservation theorem and the Bernoulli equation, and then according to the overflow total amount and the Darcy law.
The wellbore continuity equation is:
Q=V1A1=V2A2=V3A3=……
Wherein Q is flow, V1, V2, V3...the annular flow velocities at different times, A1, A2, a 3..the annular cross-sectional areas at different times, respectively;
Respectively calculating the outlet overflow amounts of the time periods t 1 to t 2, the outlet overflow amounts of the time periods t 2 to t 3, the outlet overflow amounts of the time periods t 3 to t 4 and so on;
The momentum conservation theorem is:
m1v1+m2v2+...=m1v1'+m2v2'+...
wherein m1 and m2 … are respectively annular drilling fluid masses at different moments, and v1 and v2 … are respectively drilling fluid outlet flow rates at different moments; v1', v2' … are drilling fluid inlet flow rates at different times respectively;
because the annulus is in an open state in the drilling process, the flow pressure at the wellhead of the annulus is atmospheric pressure at the moment; according to the bernoulli equation:
Wherein ρ is the drilling fluid outlet density and v is the drilling fluid outlet flow rate; p g is the atmospheric pressure at the annulus wellhead, P g=P Differential pressure +P Cover ,P Differential pressure is the pressure differential between the formation and annulus, and P Cover is the shut-in casing pressure.
Therefore:
Deriving a pressure difference P Differential pressure between the stratum and the annular space according to the overflow quantity and Darcy law as follows:
P Differential pressure =P Stratum layer -P Well bottom =(Qi+1-Qi)μwd/k Ground (floor) A Leakage device 。
Wherein P Stratum layer is the pore pressure of the stratum at the position of the leakage point, and P Well bottom is the bottom hole pressure; the total overflow amount of the time period from t i+1 to t i+2 is Q i+1, and the total overflow amount of the time period from t i to t i+1 is Q i; mu w is the viscosity of the lost annulus fluid, d is the lost point length, k Ground (floor) is the lost point formation permeability, and A Leakage device is the lost point cross-sectional area.
According to Bernoulli's principle, because the drill rod inlet and annulus casing pressure positions are the same, and the flow velocity in the shut-in well Shi Zuangan and the annulus is zero, namely the inlet flow velocity and the outlet flow velocity are equal to 0, the momentum conservation relation of the whole system exists:
pi+ρigh=(Qi+1-Qi)μwd/k Ground (floor) A Leakage device +P Cover i+ρi+1gh
The p i is the annular pressure at the wellhead at the moment t i; h is the vertical depth of the overflow layer, ρ i is the density of the drilling fluid outlet at the time t i, and ρ i+1 is the density of the drilling fluid outlet at the time t i+1;
Therefore:
P Cover i=pi+(ρi-ρi+1)gh-(Qi+1-Qi)μwd/k Ground (floor) A Leakage device .
In view of the foregoing, it will be appreciated by those skilled in the art that, after reading the present specification, various other modifications can be made in accordance with the technical scheme and concepts of the present invention without the need for creative mental efforts, and the modifications are within the scope of the present invention.
Claims (10)
1. A method for rapidly predicting the well closing casing pressure of overflow medium for injecting water into adjacent well is characterized in that: the method comprises the following steps:
When overflow is found, respectively recording overflow data at different moments t i to form a plurality of overflow data sets; wherein, the overflow data set formed at the moment i=1, 2, 3 … … n and t n is the last overflow data set before well closing;
Calculating the difference between the drilling fluid outlet density and the inlet density according to the overflow data in each overflow data set, and simultaneously calculating the pre-closing casing pressure P Cover i at the time t i:
P Cover i=pi+(ρi-ρi+1)gh-(Qi+1-Qi)μwd/k Ground (floor) A Leakage device
Wherein P Cover i is the pre-shut-in casing pressure at the time t i; p i is the wellhead annulus pressure at time t i; h is the vertical depth of the overflow layer, ρ i is the density of the drilling fluid outlet at the time t i, ρ i+1 is the density of the drilling fluid outlet at the time t i+1, Q i+1 is the overflow total amount in the time period from t i+1 to t i+2, and Q i is the overflow total amount in the time period from t i to t i+1; mu w is the viscosity of the lost annulus liquid, d is the length of the lost point, k Ground (floor) is the stratum permeability of the lost point, and A Leakage device is the cross-sectional area of the lost point;
When the difference value between the drilling fluid outlet density and the drilling fluid inlet density is within a preset range value, closing the well, stopping recording overflow data, and calculating the well closing casing pressure P Cover according to the calculated n pre-well closing casing pressures P Cover i:
P Cover =(P Cover 1+P Cover 2+P Cover 3+……+P Cover n)ψ
Wherein, psi is a correction coefficient, a constant;
And performing subsequent construction according to the shut-in casing pressure P Cover .
2. The method for rapidly predicting the casing pressure of a well with which water is injected into the well by using an overflow medium according to claim 1, wherein the method comprises the following steps: the construction of the subsequent process according to the shut-in casing pressure P Cover specifically comprises the following steps: if P Cover is more than or equal to the maximum allowable well closing casing pressure, performing a throttling circulation well killing procedure; if P Cover is less than the maximum allowable well closing casing pressure, well killing construction is carried out.
3. The method for rapidly predicting the casing pressure of the injection water of the adjacent well by using the overflow medium according to claim 2, wherein the method comprises the following steps: when P Cover is less than the maximum allowable well closing casing pressure, calculating the corresponding well-killing drilling fluid density according to the calculated well closing casing pressure, and organizing well-killing construction.
4. The method for rapidly predicting the casing pressure of a well with which water is injected into the well by using an overflow medium according to claim 1, wherein the method comprises the following steps: the preset range value is 0.01-0.02g/cm 3.
5. The method for rapidly predicting the casing pressure of a well with which water is injected into the well by using an overflow medium according to claim 1 or 2, wherein the method comprises the following steps: the overflow data includes drilling parameters and drilling fluid performance parameters.
6. The method for rapidly predicting the casing pressure of a well with which water is injected into the well by using an overflow medium according to claim 5, wherein the method comprises the following steps: the drilling parameters include an inlet density, an outlet density, an inlet flow rate, and an outlet flow rate.
7. The method for rapidly predicting the casing pressure of a well with which water is injected into the well by using an overflow medium according to claim 5, wherein the method comprises the following steps: the drilling fluid parameters include density, funnel viscosity, plastic viscosity, apparent viscosity, dynamic shear force, static shear force, fluidity index, and consistency coefficient.
8. The method for rapidly predicting the casing pressure of a well with which water is injected into the well by using an overflow medium according to claim 1, wherein the method comprises the following steps: the specific steps of respectively recording overflow data at different moments t i are as follows: a set of overflow data was recorded every 2 minutes prior to shut-in.
9. The method for rapidly predicting the casing pressure of a well with which water is injected into the well by using an overflow medium according to claim 1, wherein the method comprises the following steps: the concrete calculation method of the pre-shut-in casing pressure P Cover i comprises the following steps:
calculating the formation pressure P 0 during normal drilling:
P0=ρ×g×h+P△
Wherein ρ is the density of the inlet drilling fluid during normal drilling; h is the vertical depth of the overflow layer, and P △ is the circulating pressure consumption; according to a shaft continuous equation, a momentum conservation theorem and a Bernoulli equation, and then establishing a shaft continuous flow equation according to overflow total amount and Darcy law:
P Differential pressure =P Stratum layer -P Well bottom =(Qi+1-Qi)μwd/k Ground (floor) A Leakage device
Wherein P Differential pressure is the pressure difference between the stratum and the annular space, P Stratum layer is the pore pressure of the stratum at the position of the leakage point, and P Well bottom is the bottom hole pressure; the total overflow amount of the time period from t i+1 to t i+2 is Q i+1, and the total overflow amount of the time period from t i to t i+1 is Q i; mu w is the viscosity of the lost annulus liquid, d is the length of the lost point, k Ground (floor) is the stratum permeability of the lost point, and A Leakage device is the cross-sectional area of the lost point;
According to Bernoulli's principle, because the drill rod inlet and annulus casing pressure positions are the same, and the flow velocity in the shut-in well Shi Zuangan and the annulus is zero, namely the inlet flow velocity and the outlet flow velocity are equal to 0, the momentum conservation relation of the whole system exists:
pi+ρigh=(Qi+1-Qi)μwd/k Ground (floor) A Leakage device +P Cover i+ρi+1gh
The p i is the annular pressure at the wellhead at the moment t i; h is the vertical depth of the overflow layer, ρ i is the density of the drilling fluid outlet at the time t i, and ρ i+1 is the density of the drilling fluid outlet at the time t i+1;
Therefore:
P Cover i=pi+(ρi-ρi+1)gh-(Qi+1-Qi)μwd/k Ground (floor) A Leakage device .
10. The method for rapidly predicting the casing pressure of a well with which water is injected into the well by using an overflow medium according to claim 9, wherein the method comprises the following steps: according to a shaft continuous equation, a momentum conservation theorem and a Bernoulli equation, and then according to overflow total amount and Darcy law, establishing a shaft continuous flow equation, specifically comprising the following steps:
The wellbore continuity equation is:
Q=V1A1=V2A2=V3A3=……
Wherein Q is flow, V1, V2, V3...the annular flow velocities at different times, A1, A2, a 3..the annular cross-sectional areas at different times, respectively;
Respectively calculating the outlet overflow amounts of the time periods t 1 to t 2, the outlet overflow amounts of the time periods t 2 to t 3, the outlet overflow amounts of the time periods t 3 to t 4 and so on;
The momentum conservation theorem is:
m1v1+m2v2+...=m1v1'+m2v2'+...
Wherein m1 and m2 … are respectively annular drilling fluid masses at different moments, v1 and v2 … are respectively drilling fluid outlet flow rates at different moments, and v1', v2' … are respectively drilling fluid inlet flow rates at different moments;
because the annulus is in an open state in the drilling process, the flow pressure at the wellhead of the annulus is atmospheric pressure at the moment; according to the bernoulli equation:
wherein ρ is the drilling fluid outlet density and v is the drilling fluid outlet flow rate; p g=P Differential pressure +P Cover ,Pg is the atmospheric pressure received at the annular wellhead, P Differential pressure is the pressure difference between the stratum and the annular space, and P Cover is the well closing casing pressure;
Therefore:
Deriving a pressure difference P Differential pressure between the stratum and the annular space according to the overflow quantity and Darcy law as follows:
P Differential pressure =P Stratum layer -P Well bottom =(Qi+1-Qi)μwd/k Ground (floor) A Leakage device 。
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