Pseudo-Steady State Productivity Equations for a Multiple-Wells System in a Sector Fault Reservoir

Lu, Jing; Ghedan, Shawkat G.

doi:10.2118/130866-ms

Cited by 5 publications

(3 citation statements)

References 12 publications

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“…The viscosity estimated based on Z-factor obtained from Al-Anazi correlation started to deviate from the measured data after pressure value of 44.816 JMPa (6500 psia). The gas fiow rate estimation or prediction is a strong function of the gas viscosity, the gas viscosity affects the non-Darcy flow coefficient or turbulent coefficient, accurate determination of gas viscosity will enhance the accuracy of non-Darcy fiow deliverability prediction for vertical and horizontal wells [45]. Accurate estimation of Z-factor will guarantee accurate estimation of all natural gas PVT properties that are widely used in production rate estimation, well testing [40], reserve estimation, and reservoir simulation.…”

Section: Resultsmentioning

confidence: 99%

Development of a New Correlation of Gas Compressibility Factor (Z-Factor) for High Pressure Gas Reservoirs

Mahmoud

2013

Journal of Energy Resources Technology

135

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Gas compressibility factor or Z-factor for natural gas system can be determined from Standing-Katz charts using the pseudocritical gas pressure and temperatures. These charts give accurate values for Z-factors. Reservoir simulation softwares need accurate correlations to estimate the values of Z-factor; one of the well-known correlations is Dranchuk and Abou-Kassem (DAK) Correlation. This correlation gives large errors at high gas reservoir pressures, this error could be more than 100%. The error in estimating Z-factor will lead to big error in estimating all the other gas properties such as gas formation volume factor, gas compressibility, and gas in place. In this paper a new accurate Z-factor correlation has been developed using regression for more than 300 data points of measured Z-factor using MATLAB in addition to other data points at low pressure and temperature from Standing-Katz charts and DAK correlation. Old correlations give good estimation of Z-factor at low gas reservoir pressures below 41.37MPa (6000 psia), at high pressures the error started to appear. The developed correlation is a function of pseudoreduced pressure and temperature of the gas which makes it simpler than the existing complicated correlations. The new correlation can be used to deterhiine the gas compressibility factor at any pressure range especially for high pressures the error was less than 3% compared to the measured data. The developed correlation is very simple to be used, it just needs the gas specific gravity that can be used to determine the pseudocritical properties of the gas and at last the Z-factor can be determined. A new formula of reduced gas compressibility was developed based on the developed Z-factor correlation which in turn can be used to determine the gas compressibility. . All degrees in petroleum Engineering. He published more than 30 technical papers and 10 reviewed journal papers. Dr. Mahmoud areas of research are carbonate and sandstone acidizing, formation damage, hydraulic and acid fi'acturing of conventional and unconventional reservoirs, enhanced oil recovery of sandstone and carbonate reservoirs, drilling fluids, advanced well logging, multiphase flow in pipes, filter cake removal and characterization, sequestration and storage of carbon dioxide, and rock petrophysics, Mahmoud holds several patents in the areas of production enhancement and enhanced oil recovery.

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Section: Resultsmentioning

confidence: 99%

Development of a New Correlation of Gas Compressibility Factor (Z-Factor) for High Pressure Gas Reservoirs

Mahmoud

2013

Journal of Energy Resources Technology

135

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“…It should be noted that the value of elastic modulus in the model is identical to that determined from the test results, which validates the rationality of the parameters used in the model. Lu and Ghedan [46] stated that, for a fully penetrating vertical well located at the center of a close homogeneous, isotropic circular reservoir, the production during pseudosteady state could be written as…”

Section: Model Validationmentioning

confidence: 99%

A New Model for Predicting Flow in Fractured-Vuggy Carbonate Reservoirs under Pseudosteady State Condition

Cao

Lei

et al. 2021

Geofluids

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For constant rate production of a single well in a closed boundary fractured-vuggy carbonate reservoir, when the pressure wave propagates to the reservoir boundaries, boundary-dominated flow occurs, and the transient flow period ends, the reservoir will be in a state of pseudoequilibrium (i.e., pseudosteady state flow occurs, and the pressure at any point in the reservoir declines at the same constant rate over time). The characterization of fluid flow in the fractured-vuggy carbonate reservoir under pseudosteady state condition is of significance in describing the productivity index (PI) of the well. However, due to complex mechanisms (e.g., stress dependency of reservoir properties and crossflow between different systems of the reservoirs) during flow in fractured-vuggy carbonate reservoirs, researches on productivity prediction in fractured-vuggy carbonate reservoirs under pseudosteady state are very limited. The present work is aimed at developing a new analytical model for predicting flow in fractured-vuggy carbonate reservoirs under pseudosteady state condition. In the derived model, the crossflow between different systems (i.e., matrix, fracture, and vug) of the reservoirs was taken into account. In addition, based on Hooke’s law, a quantitative model was proposed to study stress-dependent permeability of the fracture system, which connects the reserve spaces. Moreover, the roughness morphology characteristics of fracture surface were taken into account with fractal theory. Finally, with our derived model, influences caused by various related factors on productivity were analyzed. The results show that well productivity during pseudosteady flow will be significantly affected by the morphology of fracture surface (e.g., fracture microstructure parameters) and effective stress. Specifically, due to effective stress, the fracture system in the fractured-vuggy reservoirs will be deformed, and the corresponding properties (e.g., permeability, porosity, and conductivity) will change, leading to the change of well productivity. In addition, there exists a negative relationship between the elastic storage capacity ratio of vugs and well productivity during pseudosteady flow. Moreover, a larger value of matrix-fracture interporosity flow coefficient or vug-fracture interporosity flow coefficient corresponds to a larger value of well productivity during the pseudosteady period. The new derived model is beneficial to improve the productivity prediction accuracy and reduce uncertainty. What is more, the findings of this study can help for providing theoretical reference for the design of efficient development of fractured-vuggy carbonate reservoirs.

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“…Humberto et al [3] studied the influence of pressure drift on reservoirs with finite conductivity faults and made plate fitting, which increased well test interpretation. Shawket et al [4] studied the homogeneous anisotropic fan-shaped fault depression reservoir with impermeable boundary, and established the quasi-steady productivity equation of multi-well system. Xu [5] studied the influence of fault and horizontal distance in composite reservoir, and obtained a method to improve the recovery of remaining oil in complex fault block reservoir.…”

Section: Introductionmentioning

confidence: 99%

Studying on the solution of fractal composite reservoir seepage model with linear fault under elastic outer boundary

Jiang,

Zheng,

et al. 2023

Preprint

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In this paper, a fractal composite reservoir seepage model considering wellbore storage and skin factor is established for composite reservoirs with linear faults. The traditional three ideal external boundary conditions are generalized into elastic external boundary conditions. Through the dimensionless transformation and laplace transformation of the seepage model, combined with the mirror reflection method and the superposition principle, the similar structure solution of the dimensionless bottom hole pressure with the fault located in the inner zone and the mirror well located in the inner and outer zones is obtained by using the similar structure method. The Stehfest numerical inversion method is used to draw the typical characteristic curve of dimensionless bottom hole pressure and pressure derivative in real space, and the sensitivity analysis of the parameters is carried out. The results show that on the one hand, the distance between the fault and the production well has a great influence on the dimensionless pressure at the bottom of the well. On the other hand, the introduction of the elastic outer boundary can better describe the seepage characteristics of the reservoir and is more general. The research results are of great significance to the mining strategy of composite reservoirs, and also provide a new theoretical basis for further study of composite reservoirs with linearfaults.

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Pseudo-Steady State Productivity Equations for a Multiple-Wells System in a Sector Fault Reservoir

Cited by 5 publications

References 12 publications

Development of a New Correlation of Gas Compressibility Factor (Z-Factor) for High Pressure Gas Reservoirs

Development of a New Correlation of Gas Compressibility Factor (Z-Factor) for High Pressure Gas Reservoirs

A New Model for Predicting Flow in Fractured-Vuggy Carbonate Reservoirs under Pseudosteady State Condition

Studying on the solution of fractal composite reservoir seepage model with linear fault under elastic outer boundary

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