Wellbore string and reservoir integrated well test interpretation and analysis method and device

By establishing an integrated well trial analysis method for wellbore tube columns and reservoirs, the problems of gravity and variable mass flow are solved, real-time monitoring and dynamic analysis of wellbore pressure and flow in the oil field are realized, and oil field production management is optimized.

CN115034158BActive Publication Date: 2025-08-19CHINA NATIONAL OFFSHORE OIL (CHINA) CO LTD +1
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Patent Information

Application Number
CN202210718430.1
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-06-23
Publication Date
2025-08-19
Estimated Expiration
2042-06-23

AI Technical Summary

Technical Problem

The prior art ignores the effect of gravity and the acceleration pressure generated by variable mass flow in the well bore column in the oil well pressure and flow monitoring, resulting in the pressure gauge being unable to directly measure the pressure deep in the production section reservoir, especially in deep and thick reservoirs.

Method used

Establish an integrated well test analysis method for wellbore columns and reservoirs. Through the conservation of momentum and seepage mechanics principle, combined with Laplace integral transformation, a vertical wellbore column and reservoir coupling model considering the action of gravity is established to solve the pressure solution deep under the flow rate and pressure gauge.

Benefits of technology

Real-time interpretation and analysis of oil field wellbore continuous monitoring pressure and flow data, support dynamic production simulation and predictive analysis, and optimize oil field production management.

✦ Generated by Eureka AI based on patent content.

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Abstract

The present invention relates to a wellbore string and reservoir integrated well test interpretation and analysis method, device, medium, and equipment. The method comprises: establishing a vertical wellbore string model that takes gravity into account based on the law of conservation of momentum, integrating the control equation of the vertical wellbore string to obtain the coupling equation of the vertical wellbore string and the reservoir; establishing a reservoir model that takes gravity into account based on the principles of seepage mechanics, and using the Laplace integral transformation method to obtain a pressure distribution solution for the reservoir model; substituting the pressure distribution solution of the reservoir model into the coupling equation of the vertical wellbore string and the reservoir and discretizing it, solving the discretized coupling equation to obtain the flow rate at discrete units in the vertical wellbore string and the pressure solution deep below the pressure gauge. The method can realize real-time interpretation and analysis of oilfields based on continuously monitored pressure and flow data from the wellbore, and realize dynamic simulation analysis and predictive analysis of oilfield production.
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Description

Technical Field

[0001] The present invention relates to a wellbore tubing and reservoir integrated well testing interpretation and analysis method, device, medium and equipment, belonging to the technical field of well testing. Background Art

[0002] Currently, the main parameters monitored in oil wells include pressure, flow rate, and temperature. The primary method for analyzing pressure monitoring data is the unsteady pressure well test, which studies the static and dynamic state of oil and gas reservoirs during production. Numerous monographs on oil and gas well testing theory and analysis methods have been published both domestically and internationally, along with countless articles published in various journals and conference proceedings. This literature covers the entire process from theoretical model development and mathematical model solution to field application. Furthermore, numerous commercial well testing analysis software packages have been developed internationally, such as KAPPA's Saphir, EPS's PanSystem, and Schlumberger's Welltest200. The primary method for analyzing flow monitoring data is modern production decline analysis (production data analysis or production instability analysis), which has been a research hotspot in oil and gas reservoir engineering in recent years. Key dynamic production decline analysis methods include the Arps empirical decline analysis method, the Fetkovich traditional decline analysis method, modern double-logarithmic curve fitting analysis methods such as NPI, Blasingame, AG, and Transient, and flowing material balance methods. Modern production decline methods not only provide insights into reservoir permeability, skin factor, dynamic reserves, and well-controlled area, but also analyze interwell connectivity and infill potential. Currently, well-known commercial production data analysis software includes IHS's Harmony RTA and KAPPA's Topaze.

[0003] Currently, both pressure monitoring data analysis and flow monitoring data analysis are primarily based on bottomhole pressure (deep in the production section of the reservoir) and generally ignore the effects of gravity and the acceleration pressure generated by variable mass flow in the production section wellbore string. Pressure gauges are often unable to directly measure pressure deep in the production section of the reservoir due to factors such as operating conditions and equipment. The effects of gravity and the acceleration pressure generated by variable mass flow in the production section wellbore string are even more pronounced in deep and thick reservoirs. With the continuous expansion of deepwater and unconventional oil and gas resource development and the demand for digital and intelligent petroleum engineering, real-time wellbore monitoring data and analysis technologies are gaining increasing attention. To achieve dynamic analysis of real-time wellbore monitoring data, it is necessary to establish an integrated well test interpretation and analysis method for the wellbore string and reservoir. For deep and thick reservoirs, gravity and variable mass flow in the production section wellbore string must also be considered. Summary of the Invention

[0004] In response to the above technical problems, the present invention provides a wellbore tubing and reservoir integrated well testing interpretation and analysis method, device, medium and equipment. This method can realize real-time interpretation and analysis of oil fields based on continuous monitoring of wellbore pressure and flow data, and realize dynamic simulation analysis and predictive analysis of oil field production.

[0005] To achieve the above object, the present invention adopts the following technical solutions:

[0006] A wellbore string and reservoir integrated well test interpretation and analysis method, comprising:

[0007] According to the theorem of conservation of momentum, a vertical wellbore string model considering gravity is established, and the control equation of the vertical wellbore string is integrated to obtain the coupling equation of the vertical wellbore string and the reservoir.

[0008] Based on the principle of seepage mechanics, a reservoir model considering gravity is established, and the pressure distribution solution of the reservoir model is given using the Laplace integral transformation method.

[0009] The pressure distribution solution of the reservoir model is brought into the coupling equation of the vertical wellbore string and the reservoir and discretized. The discretized coupling equation is solved to obtain the flow rate on the discrete unit in the vertical wellbore string and the pressure solution deep below the pressure gauge.

[0010] The wellbore string and reservoir integrated well test interpretation and analysis method preferably establishes a vertical wellbore string model taking into account gravity based on the momentum conservation theorem, and integrates the control equation of the vertical wellbore string to obtain the coupling equation of the vertical wellbore string and the reservoir, which is specifically as follows:

[0011] The governing equation for the vertical wellbore string is:

[0012]

[0013] Integrating Equation (5) yields the coupling equation between the vertical wellbore string and the reservoir:

[0014]

[0015] Where p w represents the pressure in the vertical wellbore string; z represents the distance in the vertical wellbore string; ρ represents the fluid density; g represents the acceleration due to gravity; d represents the hydraulic diameter of the vertical wellbore string; Q represents the flow rate in the vertical wellbore string; f represents the friction coefficient of the vertical wellbore string; p represents the reservoir pressure; r w represents the radius of the wellbore string in the reservoir; h p Indicates the position where the pressure gauge is lowered; h indicates the reservoir thickness.

[0016] The wellbore string and reservoir integrated well test interpretation and analysis method preferably establishes a reservoir model taking gravity into account based on the principle of seepage mechanics, and uses the Laplace integral transformation method to provide a pressure distribution solution for the reservoir model, as follows:

[0017] Reservoir pressure distribution:

[0018]

[0019] Where p i represents the pressure in the middle of the reservoir at the initial moment; k represents the reservoir permeability; μ represents the fluid viscosity; r D =r / (r w e -S );r eD =r e / (r w e -S ); When the outer boundary of the reservoir is a closed circle, G = K1 (br eD ) / I1(br eD ); When the outer boundary of the reservoir is a circular constant pressure, G = -K0 (br eD ) / I0(br eD ); when the outer boundary of the reservoir is infinite, G = 0; u is the dimensionless time The corresponding Laplace variable; is the Laplace transform of Q, m 3 / s;L -1 represents the inverse Laplace transform; I0 represents the first kind of deformed zero-order Bessel function; I1 represents the first kind of deformed first-order Bessel function; K0 represents the second kind of deformed zero-order Bessel function; K1 represents the second kind of deformed first-order Bessel function.

[0020] The wellbore string and reservoir integrated well test interpretation and analysis method preferably brings the pressure distribution solution of the reservoir model into the coupling equation of the vertical wellbore string and the reservoir and discretizes it, and solves the discretized coupling equation to obtain the flow rate on the discrete unit in the vertical wellbore string and the pressure solution deep below the pressure gauge, as follows:

[0021] The total flow equation from the reservoir into the wellbore is:

[0022]

[0023] Where q sc Indicates the reference flow rate under ground standard conditions; B indicates the volume coefficient of the fluid;

[0024] The n equations are:

[0025]

[0026] Where, j is any j-th discrete unit; z j-1 is the endpoint distance of the j-1th discrete unit; z j is the endpoint distance of the j-1th discrete unit;

[0027] By solving the new equations composed of equations (15) and (17), the flow rates Q1, Q2, ..., Q on the discrete units in the string can be obtained. n and the pressure deep below the manometer

[0028] A second aspect of the present invention provides a wellbore string and reservoir integrated well testing interpretation and analysis device, comprising:

[0029] The first processing unit is used to establish a vertical wellbore string model considering gravity according to the momentum conservation theorem, and integrate the control equation of the vertical wellbore string to obtain the coupling equation of the vertical wellbore string and the reservoir;

[0030] The second processing unit is used to establish a reservoir model taking gravity into account according to the principle of seepage mechanics, and to provide a pressure distribution solution of the reservoir model using the Laplace integral transformation method;

[0031] The third processing unit is used to bring the pressure distribution solution of the reservoir model into the coupling equation of the vertical wellbore string and the reservoir and discretize it, and solve the discretized coupling equation to obtain the flow rate on the discrete unit in the vertical wellbore string and the pressure solution deep below the pressure gauge.

[0032] A third aspect of the present invention provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the above-mentioned wellbore string and reservoir integrated well testing interpretation and analysis method.

[0033] The fourth aspect of the present invention provides a computer device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, the steps of the above-mentioned integrated wellbore string and reservoir well testing interpretation and analysis method are implemented.

[0034] The present invention has the following advantages due to the adoption of the above technical solution:

[0035] This invention establishes a functional relationship between oil production and wellbore pressure. This functional relationship enables real-time interpretation and analysis of oilfield production based on continuously monitored wellbore pressure and flow data, enabling dynamic simulation and predictive analysis of oilfield production. This provides a theoretical basis for interpretation and analysis based on continuously monitored wellbore pressure and flow data, and can be used for reservoir parameter inversion, production or pressure simulation and prediction, helping to optimize oilfield production systems and improve production management. BRIEF DESCRIPTION OF THE DRAWINGS

[0036] Figure 1 A schematic diagram of a physical model of a wellbore string and reservoir integrated well testing interpretation and analysis method considering gravity provided by one embodiment of the present invention;

[0037] Figure 2 The integrated well test interpretation and analysis method for the wellbore string and infinite boundary reservoir considering the effect of gravity provided in this embodiment of the present invention realizes the simulated relationship diagrams of time-flow, time-reservoir middle pressure and time-pressure deep below the pressure gauge. DETAILED DESCRIPTION

[0038] To make the objectives, technical solutions, and advantages of the present invention more clear, the technical solutions of the present invention are described clearly and completely below. Obviously, the embodiments described are only some of the embodiments of the present invention, not all of them. All other embodiments derived by ordinary persons in this field based on the embodiments of the present invention without creative effort are within the scope of protection of the present invention.

[0039] Unless otherwise defined, the technical or scientific terms used in the present invention shall have the usual meanings understood by persons of ordinary skill in the field to which the present invention belongs. The words "first", "second", "third", "fourth" and similar terms used in the present invention do not indicate any order, quantity or importance, but are only used to distinguish different components. Words such as "include" or "comprise" mean that the elements or objects preceding the word include the elements or objects listed after the word and their equivalents, without excluding other elements or objects. Words such as "connect" or "connected" are not limited to physical or mechanical connections, but may include electrical connections, whether direct or indirect.

[0040] The present invention is based on the fact that existing techniques for analyzing pressure and flow monitoring data are currently primarily based on bottomhole pressure (deep in the production section of the reservoir) and generally ignore the effects of gravity and the acceleration pressure generated by variable mass flow in the production section of the wellbore string. Due to factors such as operating conditions and equipment, pressure gauges are often unable to directly measure the pressure deep in the production section of the reservoir. The present invention proposes a functional relationship between oil production and wellbore pressure. This functional relationship can be used to implement real-time interpretation and analysis of oil field based on continuously monitored pressure and flow data in the wellbore, enabling dynamic simulation and predictive analysis of oil field production.

[0041] The technical solution of the present invention is described below in conjunction with specific embodiments.

[0042] The present invention provides a wellbore string and reservoir integrated well test interpretation and analysis method considering gravity, comprising the following steps:

[0043] S1: Based on the momentum conservation theorem, a vertical wellbore string model considering gravity is established, and the control equation of the vertical wellbore string is integrated to obtain the coupling equation of the vertical wellbore string and the reservoir;

[0044] S2: Based on the principle of seepage mechanics, a reservoir model considering gravity is established, and the pressure distribution solution of the reservoir model is given using the Laplace integral transformation method;

[0045] S3: Substitute the pressure distribution solution of the reservoir model into the coupling equation of the vertical wellbore string and the reservoir and discretize it, and solve the discretized coupling equation to obtain the flow rate on the discrete unit in the vertical wellbore string and the pressure solution deep below the pressure gauge.

[0046] The proposed vertical wellbore string model is based on the following assumptions:

[0047] 1) A vertical well in the reservoir is produced at a fixed rate. Before the well is opened for production, the radial pressure distribution of the reservoir is uniform;

[0048] 2) The reservoir is isotropic and horizontally uniform in thickness, and the fluid flows in the reservoir in a planar radial direction and in accordance with Darcy's law of flow;

[0049] 3) The pressure drop of fluid flowing in the vertical wellbore string is composed of gravity pressure drop, friction pressure drop and acceleration pressure drop;

[0050] 4) Fluids and rocks are weakly compressible, and the compression coefficient is constant. The physical model diagram is as follows: Figure 1 shown.

[0051] Furthermore, step S1 is specifically as follows:

[0052] According to the momentum conservation theorem, the vertical string momentum conservation equation can be obtained:

[0053]

[0054] Where p w represents the pressure in the vertical wellbore string, Pa; z represents the distance in the vertical wellbore string, m; ρ represents the fluid density, kg / m 3 ; g represents the acceleration due to gravity, m / s 2 ; d represents the hydraulic diameter of the vertical wellbore string, m; v w It represents the fluid velocity in the vertical wellbore string, m / s; f represents the friction coefficient of the vertical wellbore string.

[0055] The fluid velocity equation is:

[0056]

[0057] Where Q represents the flow rate in the vertical wellbore string, m 3 / s.

[0058] The friction equation is:

[0059] Turbulence:

[0060] Laminar Flow:

[0061] Where Re is the Reynolds number; e is the roughness of the vertical wellbore string, in m.

[0062] Reynolds number definition:

[0063]

[0064] Where μ represents the fluid viscosity, Pa·s.

[0065] Substituting equation (2) into equation (1), the control equation of the vertical wellbore string is:

[0066]

[0067] Integrating Equation (5) yields the coupling equation between the vertical wellbore string and the reservoir:

[0068]

[0069] Where, p represents the reservoir pressure, MPa; r w represents the radius of the wellbore string in the reservoir, m; h p Indicates the position of the pressure gauge, in meters; h indicates the reservoir thickness, in meters.

[0070] Furthermore, step S2 is specifically as follows:

[0071] According to the law of conservation of mass and Darcy's law, the reservoir control equation can be obtained (vertical flow is not considered):

[0072]

[0073] Where, k represents the reservoir permeability, m2; r represents the radial distance of the reservoir, m; φ represents the reservoir porosity; C t It represents the comprehensive compressibility coefficient of fluid and rock in the reservoir, 1 / Pa; t represents time, s.

[0074] Conditions at the connection between reservoir and wellbore string:

[0075]

[0076]

[0077] Where C represents the wellbore storage coefficient, m 3 / Pa; h represents the reservoir thickness; S represents the skin factor.

[0078] Reservoir outer boundary conditions:

[0079]

[0080] Circular constant pressure:

[0081] Infinity: p| r=∞ =p i +ρg(h / 2-z) (10c)

[0082] Where r e Represents the radial outer boundary distance of the reservoir, m.

[0083] Initial reservoir conditions:

[0084] p| t=0 =p i +ρg(h / 2-z) (11)

[0085] Where p i Represents the reservoir center pressure at the initial moment, MPa.

[0086] Performing Laplace transform on equations (7)-(11) and solving them yields the reservoir pressure distribution:

[0087]

[0088] Where, r D =r / (r w e -S );r eD =r e / (rw e -S ); When the outer boundary of the reservoir is a closed circle, G = K1 (br eD ) / I1(br eD ); When the outer boundary of the reservoir is a circular constant pressure, G = -K0 (br eD ) / I0(br eD ); when the outer boundary of the reservoir is infinite, G = 0; u is the dimensionless time The corresponding Laplace variable; is the Laplace transform of Q, m 3 / s;L -1 represents the inverse Laplace transform; I0 represents the first kind of deformed zero-order Bessel function; I1 represents the first kind of deformed first-order Bessel function; K0 represents the second kind of deformed zero-order Bessel function; K1 represents the second kind of deformed first-order Bessel function.

[0089] Furthermore, step S3 is specifically as follows:

[0090] Substituting formula (12) into formula (6) yields:

[0091]

[0092] Furthermore, when the fluid flow in the vertical column is turbulent, Equations (2), (4), (3a) and (13) yield:

[0093]

[0094] When the fluid flow in the vertical column is laminar, it can be obtained from equations (2), (4), (3b) and (13):

[0095]

[0096] The total flow equation through the reservoir into the wellbore is:

[0097]

[0098] Where q sc Indicates the reference flow rate under ground standard conditions, m 3 / s; B represents the volume coefficient of the fluid, m 3 / m 3 .

[0099] Discretize the interval 0≤z≤h, 0=z0 <z1<...<z n =h, assuming that the flow rate Q in the column is constant at each discrete unit, that is:

[0100]

[0101] Where Q1, Q2, ..., Q n Represents the volume flow rate in the column on the discrete unit, m 3 / s;z0,z1,z2,...,z n Represents the endpoint distance of the discrete unit, m.

[0102] Substitute equation (16) into equation (14) and take n equations can be constructed, where the n+1 unknowns are Q1, Q2,…, Q n as well as For convenience, the left side of formula (14) is Then the n equations are:

[0103]

[0104] Where j is any j-th discrete unit; z j-1 is the endpoint distance of the j-1th discrete unit; z j is the endpoint distance of the j-1th discrete unit;

[0105] Then, the new set of equations composed of equations (15) and (17) can be solved to obtain the flow rates Q1, Q2, ..., Q on the discrete units in the string. n and the pressure deep below the manometer

[0106] The method of the present invention mainly includes but is not limited to the following three applications:

[0107] First, the surface production q and the pressure gauge depth h are known. p Measured pressure at As well as basic reservoir parameters (fluid viscosity, fluid density, comprehensive compressibility, reservoir thickness, reservoir porosity, tubing hydraulic diameter, tubing roughness, etc.), inversion of reservoir permeability k, wellbore storage coefficient C and skin factor S.

[0108] Secondly, given the surface production q, reservoir permeability k, wellbore storage coefficient C, skin factor S and basic reservoir parameters, the pressure at any point z0 in the string can be simulated or predicted.

[0109] Third, the pressure at any point z0 in the string is known Reservoir permeability k, wellbore storage coefficient C, skin factor S and basic reservoir parameters, forward simulation or prediction of ground production q.

[0110] A second aspect of the present invention provides a wellbore string and reservoir integrated well testing interpretation and analysis device, comprising:

[0111] The first processing unit is used to establish a vertical wellbore string model considering gravity according to the momentum conservation theorem, and integrate the control equation of the vertical wellbore string to obtain the coupling equation of the vertical wellbore string and the reservoir;

[0112] The second processing unit is used to establish a reservoir model taking gravity into account according to the principle of seepage mechanics, and to provide a pressure distribution solution of the reservoir model using the Laplace integral transformation method;

[0113] The third processing unit is used to bring the pressure distribution solution of the reservoir model into the coupling equation of the vertical wellbore string and the reservoir and discretize it, and solve the discretized coupling equation to obtain the flow rate on the discrete unit in the vertical wellbore string and the pressure solution deep below the pressure gauge.

[0114] A third aspect of the present invention provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the above-mentioned wellbore string and reservoir integrated well testing interpretation and analysis method.

[0115] The fourth aspect of the present invention provides a computer device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, the steps of the above-mentioned integrated wellbore string and reservoir well testing interpretation and analysis method are implemented.

[0116] The present invention is described in terms of flowcharts and / or block diagrams of methods, devices (systems), and computer program products according to specific embodiments. It should be understood that each process and / or block in the flowchart and / or block diagram, as well as a combination of processes and / or blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 a process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.

[0117] These computer program instructions may also be stored in a computer readable memory that can direct a computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 a process or multiple processes and / or boxes Figure 1 The function specified in one or more boxes.

[0118] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing the instructions executed on the computer or other programmable device for implementing the process. Figure 1 a process or multiple processes and / or boxes Figure 1 A step that specifies a function in one or more boxes.

[0119] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the various embodiments of the present invention.

Claims

1. A wellbore string and reservoir integrated well test interpretation and analysis method, characterized in that: include: According to the theorem of conservation of momentum, a vertical wellbore string model considering gravity is established, and the control equation of the vertical wellbore string is integrated to obtain the coupling equation of the vertical wellbore string and the reservoir. Based on the principle of seepage mechanics, a reservoir model considering gravity is established, and the pressure distribution solution of the reservoir model is given using the Laplace integral transformation method. The pressure distribution solution of the reservoir model is brought into the coupling equation of the vertical wellbore string and the reservoir and discretized. The discretized coupling equation is solved to obtain the flow rate on the discrete unit in the vertical wellbore string and the pressure solution deep below the pressure gauge; According to the theorem of conservation of momentum, a vertical wellbore string model considering gravity is established. The control equation of the vertical wellbore string is integrated to obtain the coupling equation of the vertical wellbore string and the reservoir, as follows: The governing equation for the vertical wellbore string is: By integrating, the coupling equation of the vertical wellbore string and reservoir is obtained as follows: , Where, Indicates the pressure in the vertical wellbore string; Indicates the distance in the vertical wellbore string; represents the fluid density; represents the acceleration due to gravity; Represents the hydraulic diameter of the vertical wellbore string; Indicates the flow rate in the vertical wellbore string; Indicates the friction coefficient of the vertical wellbore string; represents the reservoir pressure; represents the radius of the wellbore string in the reservoir; Indicates the lowering position of the pressure gauge; Represents the reservoir thickness.

2. The wellbore string and reservoir integrated well testing interpretation and analysis method according to claim 1, characterized in that: According to the principle of seepage mechanics, a reservoir model considering gravity is established, and the pressure distribution solution of the reservoir model is given by the Laplace integral transformation method, as follows: Reservoir pressure distribution: Where, represents the pressure in the middle of the reservoir at the initial moment; represents the reservoir permeability; Indicates fluid viscosity; ; ; ; ; When the outer boundary of the reservoir is a closed circle, ; When the outer boundary of the reservoir is circular and constant pressure, ; When the outer boundary of the reservoir is infinite, ; Dimensionless time The corresponding Laplace variable; for Laplace transform, m 3 / s; represents the inverse Laplace transform; represents the deformed zero-order Bessel function of the first kind; represents the deformed first-order Bessel function of the first kind; represents the deformed zero-order Bessel function of the second kind; represents the deformed first-order Bessel function of the second kind.

3. The wellbore string and reservoir integrated well testing interpretation and analysis method according to claim 2, characterized in that: The pressure distribution solution of the reservoir model is brought into the coupling equation of the vertical wellbore string and the reservoir and discretized. The discretized coupling equation is solved to obtain the flow rate on the discrete unit in the vertical wellbore string and the pressure solution deep below the pressure gauge, as follows: The total flow equation from the reservoir into the wellbore is: Where, Indicates the reference flow rate under ground standard conditions; represents the volume coefficient of the fluid; The n equations are: Where, j is any j-th discrete unit; z j-1 is the endpoint distance of the j-1th discrete unit; z j is the endpoint distance of the j-1th discrete unit; By solving the new equation system consisting of the total flow equation and n equations, the flow rate on the discrete unit in the string can be obtained , ,…, and the pressure deep below the manometer .

4. A wellbore string and reservoir integrated well test interpretation and analysis device, characterized in that: include: The first processing unit is used to establish a vertical wellbore string model considering gravity according to the momentum conservation theorem, and integrate the control equation of the vertical wellbore string to obtain the coupling equation of the vertical wellbore string and the reservoir; The second processing unit is used to establish a reservoir model taking gravity into account according to the principle of seepage mechanics, and to provide a pressure distribution solution of the reservoir model using the Laplace integral transformation method; The third processing unit is used to bring the pressure distribution solution of the reservoir model into the coupling equation of the vertical wellbore string and the reservoir and discretize it, and solve the discretized coupling equation to obtain the flow rate on the discrete unit in the vertical wellbore string and the pressure solution deep below the pressure gauge; According to the theorem of conservation of momentum, a vertical wellbore string model considering gravity is established. The control equation of the vertical wellbore string is integrated to obtain the coupling equation of the vertical wellbore string and the reservoir, as follows: The governing equation for the vertical wellbore string is: By integrating, the coupling equation of the vertical wellbore string and reservoir is obtained as follows: , Where, Indicates the pressure in the vertical wellbore string; Indicates the distance in the vertical wellbore string; represents the fluid density; represents the acceleration due to gravity; Represents the hydraulic diameter of the vertical wellbore string; Indicates the flow rate in the vertical wellbore string; Indicates the friction coefficient of the vertical wellbore string; represents the reservoir pressure; represents the radius of the wellbore string in the reservoir; Indicates the lowering position of the pressure gauge; Represents the reservoir thickness.

5. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the wellbore string and reservoir integrated well testing interpretation and analysis method according to any one of claims 1 to 3 are implemented.

6. A computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: When the processor executes the computer program, the steps of the wellbore string and reservoir integrated well testing interpretation and analysis method according to any one of claims 1 to 3 are implemented.