Real Gas Pseudopressures For CO2 Reservoirs

1984 ◽  
Vol 24 (02) ◽  
pp. 180-190
Author(s):  
Djebbar Tiab

Abstract This paper presents a new method for correlating real gas pseudopressure values of gas reservoirs containing large amounts of CO2- Special attention is devoted to gas reservoirs in Colorado, New Mexico, and Utah. These reservoirs have 95 to 100% CO2 concentrations. The effects of CO2 on the skin factor also are analyzed. The main results of this study are that (1) the effects of CO2 on the conventional pressure analysis techniques are severe at higher mole fractions and at pseudoreduced pressures greater than one, (2) if real gas pseudopressure data are not properly corrected, the reservoir permeability calculated from pressure buildup and drawdown tests will be considerably less than the actual value, and (3) the proposed technique is simple, quick. and accurate enough to calculate pseudopressure values. This method is also useful in gas reservoirs with 0 to 100% CO2 concentrations. CO2 affects the skin zone both physically and chemically, in most cases favorably. The total skin factor is slightly dependent on time for very short transient flows. However, it ultimately will become constant as the CO2 gas sweeps the entire skin zone. Introduction The bulk of industry research and field testing of CO2 has been directed toward miscible displacement. This method of using CO2 appears to have greatest potential for oil recovery not possible by conventional producing methods. However, the potential for this process will he significant only if CO2 Can be found in enough quantity to treat many fields. The most plausible source of adequate volumes Of CO2 at a cost low enough for CO2 flooding appears to be either from existing known and undeveloped sources of naturally occurring CO2 or from future such discoveries. There are several areas in the U.S. where CO2 is known to occur naturally. Fig. 1 illustrates locations of wells that have produced significant concentrations of CO2. The pressure tests and correlation charts presented in this paper are from wells located in southern Colorado as shown in this figure. Actual CO2 reserves that might be contained in these various geographical areas ar-e unknown. Future large reserves of naturally occurring CO2 most likely would be located in the Four Corners area, the northeast New Mexico/southeast Colorado area, and central Mississippi, and would occur in reservoirs of high-purity CO2. This study analyzes pressure behavior of such reservoirs. Gas flow through porous media has been the object of considerable research. Up to the mid-1960's most published articles dealt with ideal gas. But most of these studies were- inadequate for gas reservoirs having high reservoir pressures, low permeabilities, and/or containing large amounts of contaminants such as CO2, nitrogen (N2), and hydrogen sulfide (H2S)- Several theories dealing with these problems were published. The most pertinent ones to this study are the papers by Al Hussainy et al., Al Hussainy and Ramey, and Zana and Thomas. Al Hussainy et al. introduced the concept of real gas potential, which eliminates the need to neglect the pressure dependence of gas viscosity and the gas deviation factor. The assumption of small pressure gradients was also eliminated. Al Hussainy and Ramey showed how the concept of real gas potential or the real gas pseudopressure could be used to analyze pressure transient tests. A few years later, Zana and Thomas investigated some of the effects of gas contaminants on real gas flow. They generated tables of the real gas pseudopressure function for various concentrations of N2, CO2, and H2S. Their study, however, did not consider the case of the high-purity CO2 reservoirs- Some of the other papers found useful to this study are by Carter, Dranchuk and Chwyl, Coats et al., Aziz et al., Robinson et al., Buxton, and Dewitt and Thodos. For instance, the study by Robinson et al. showed that there is a definite departure by the gas compressibility curve for CO2 from that of hydrocarbons, and that the value of this departure increases for higher amounts Of CO2. This departure is most significant at approximately 2,000 psia [13.8 MPa] and at low temperatures. Buxton determined the values of the gas compressibility factor at different concentrations Of CO2 in a mixture with hydrocarbon gases. Finally, Dewitt and Thodos experimentally demonstrated that the viscosities of various mixtures of gases increase with pressure as the CO2 content increases. This study investigates the pressure behavior of high- purity CO2 reservoirs-i.e., reservoirs with 60 to 100% CO2 concentrations. In particular, pseudopressure values of such reservoirs are generated and semiempirical relations are developed. Furthermore, a study by Keio Toi on diffusion of CO2 through glassy polymers and Ref. 12 provide the basis to investigate qualitatively the effects Of CO2 on the skin factor. Real Gas Pseudopressure Function As shown in Ref. 1, transient flow of real gas through porous media can be described by (1) SPEJ P. 180^

1973 ◽  
Vol 13 (05) ◽  
pp. 259-266
Author(s):  
Henry B. Crichlow ◽  
Paul J. Root

Abstract A digital computer model of a radial gas reservoir was constructed to investigate the effect of completion techniques on gas well deliverability. The model was a standard r-z model divided linearly in the z-direction and logarithmically in the r-direction. Individual reservoir properties were assigned to each element of the model grid. These include porosity, radial and vertical permeability, and water saturation. A finite-difference approach was used to set up the flow equations, and both alternating direction implicit procedure (ADIP) and line successive overrelaxation (LSOR) were used to set up the system of simultaneous equations. The Thomas algorithm was used to solve the tridiagonal systems. From this research the following conclusions were drawn:(1)The real gas potential is effective in linearizing the gas flow equation. For nonturbulent flow the coefficient of performance in the backpressure equation, Q = C [ (Pe) - (Pw)]n can be evaluated independently oil the fluid properties of the gas.(2)Partially producing properties of the gas.(2)Partially producing intervals constitute a skin, the magnitude of which depends on the location of the perforations and the anisotropic nature of the medium.(3)In a damaged or stimulated well, within limits, the significant factor in deliverability reduction is the kind rather than the extent of the damage.(4)From the numerical standpoint ADIP is a more efficient method in "well-behaved" problemsthat is, in homogeneous systemswhereas LSOR is better suited to partially open and nonhomogeneous systems. Introduction Calculation of the flow rate and prediction of the deliverability of gas wells are factors of great economic importance to the natural gas industry. Consequently, the accurate analysis of gas flow in producing gas wells has been a subject of considerable interest, and many papers dealing with it may be found in the literature. One of the earliest methods for calculating gas flow, that of Jenkins and Aronofsky, involved the succession of steady states. Janicek and Katz, using a similar assumption that the rate of pressure change with time is independent of the radius at any given time, derived a set of relatively straightforward predictive equations. Other calculational methods are based on solutions to the partial differential equation describing gas flow in a porous medium. Until recently the analysis was based on linearizations that required evaluation of the gas properties at some average pressure. As a result, these solutions can be applied only when the flow gradients are small. Today gas reservoirs are being discovered at much greater depths and at relatively higher pressures. In many cases the formation permeability pressures. In many cases the formation permeability to gas is quite low. Thus, solutions to be linearized equation can lead to serious errors in predicting deliverability (and, hence, reserves) predicting deliverability (and, hence, reserves) because of the large drawdowns occurring in these systems. The simplifying assumptions implied by the linearized equations are not necessary when the real gas potential proposed by Al-Hussainy et al. is used. This function greatly facilitates the incorporation of the pressure-dependent variables, viscosity, and gas deviation factor into a mathematical model of gas flow. Its use reduces the unsteady-state flow equation directly to a form analogous to that of the diffusivity equation without the tacit assumptions that the pressure gradients within the flow system are small. Furthermore, the coefficients of the spatial derivatives no longer contain the pressure-dependent fluid properties. Because of these advantages the (p) function was used in this investigation of gas well deliverability. SPEJ P. 259


1983 ◽  
Author(s):  
A. BALAKRISHNAN ◽  
C. LOMBARD ◽  
W.C. DAVY

Author(s):  
Junji Nagao ◽  
Shigeru Matsuo ◽  
Mamun Mohammad ◽  
Toshiaki Setoguchi ◽  
Heuy Dong Kim

Minerals ◽  
2018 ◽  
Vol 8 (11) ◽  
pp. 510 ◽  
Author(s):  
Valery Vernikovsky ◽  
Georgy Shemin ◽  
Evgeny Deev ◽  
Dmitry Metelkin ◽  
Nikolay Matushkin ◽  
...  

The geodynamic development of the north–western (Arctic) margin of the Siberian craton is comprehensively analyzed for the first time based on our database as well as on the analysis of published material, from Precambrian-Paleozoic and Mesozoic folded structures to the formation of the Mesozoic-Cenozoic Yenisei-Khatanga sedimentary basin. We identify the main stages of the region’s tectonic evolution related to collision and accretion processes, mainly subduction and rifting. It is demonstrated that the prototype of the Yenisei-Khatanga basin was a wide late Paleozoic foreland basin that extended from Southern Taimyr to the Tunguska syneclise and deepened towards Taimyr. The formation of the Yenisei-Khatanga basin, as well as of the West-Siberian basin, was due to continental rifting in the Permian-Triassic. The study describes the main oil and gas generating deposits of the basin, which are mainly Jurassic and Lower Cretaceous mudstones. It is shown that the Lower Cretaceous deposits contain 90% of known hydrocarbon reserves. These are mostly stacked reservoirs with gas, gas condensate and condensate with rims. The study also presents data on oil and gas reservoirs, plays and seals in the Triassic, Jurassic and Cretaceous complexes.


1975 ◽  
Vol 39 (4) ◽  
pp. 523-534 ◽  
Author(s):  
R. Peslin ◽  
J. Papon ◽  
C. Duviver ◽  
J. Richalet

The frequency response of the respiratory system was studied in the range from 3 to 70 Hz in 15 normal subjects by applying sinusoidal pressure variations around the chest and measuring gas flow at the mouth. The observed input-output relationships were systematically compared to those predicted on the basis of linear differential equations of increasing order. From 3 to 20 Hz the behavior of the system was best described by a 3rd-order equation, and from 3 to 50 Hz by a 4th-order one. A mechanistic model of the 4th order, featuring tissue compliance (Ct), resistance (Rt) and inertance (It), alveolar gas compressibility (Cg) and airway resistance (Raw), and inertance (Iaw) was developed. Using that model, the following mean values were found: Ct = 2.08–10(-2)1-hPa-1 (1 hPa congruent to 1 cm of water); Rt = 1.10-hPa-1(-1)-s; It = 0.21–10(-2)hPa-1(-1)-s2; Raw = 1.35-hPa-1(-1)-s; Iaw = 2.55–10(-2)hPa-1(-1)-s2. Additional experiments devised to validate the model were reasonably successful, suggesting that the physical meaning attributed to the coefficients was correct. The validity of the assumptions and the physiological meaning of the coefficients are discussed.


2021 ◽  
Vol 135 (4) ◽  
pp. 36-39
Author(s):  
B. Z. Kazymov ◽  
◽  
K. K. Nasirova ◽  

A method is proposed for determining the distribution of reservoir pressure over time in a nonequilibrium-deformable gas reservoir in the case of real gas flow to the well under different technological conditions of well operation, taking into account the real properties of the gas and the reservoir.


2011 ◽  
Vol 201-203 ◽  
pp. 399-403 ◽  
Author(s):  
Hong Qing Song ◽  
Ming Yue ◽  
Wei Yao Zhu ◽  
Dong Bo He ◽  
Huai Jian Yi

Porous media containing water is the prerequisite of existence of threshold pressure gradient (TPG) for gas flow. Based on theory of fluid mechanics in porous medium considering TPG, the non-Darcy flow mathematical model is established for formation pressure analysis of water-bearing tight gas reservoirs. It could provide semi-analytic solution of unsteady radial non-Darcy flow. According to the solution of unsteady radial non-Darcy flow, an easy and accurate calculation method for formation pressure analysis is presented. It can provide theoretical foundation for development design of water-bearing tight gas reservoirs. The analysis of calculation results demonstrates that the higher TPG is, the smaller formation pressure of water-bearing tight gas reservoirs spreads. In the same output, the reservoir sweep of non-Darcy gas flow is larger than that of non-Darcy liquid flow. And the pressure drop near wellbore is smaller than that of non-Darcy liquid flow, which is different from Darcy flow.


2021 ◽  
Author(s):  
Nasar Khan ◽  
Rudy Swennen ◽  
Gert Jan Weltje ◽  
Irfan Ullah Jan

<p><span><strong>Abstract:</strong> Reservoir assessment of unconventional reservoirs poses numerous exploration challenges. These challenges relate to their fine-grained and heterogeneous nature, which are ultimately controlled by depositional and diagenetic processes. To illustrate such constraints on shale gas reservoirs, this study focuses on lithofacies analysis, paleo-depositional and diagenetic evolution of the Paleocene Patala Formation at Potwar Basin of Pakistan. Integrated sedimentologic, petrographic, X-ray diffraction and TOC (total organic carbon) analyses showed that the formation contained mostly fine-grained carbonaceous, siliceous, calcareous and argilaceous siliciclastic-lithofacies, whereas carbonate microfacies included mudstone, wackestone and packstone. The silicious and carbonaceous lithofacies are considered a potential shale-gas system. The clastic lithofacies are dominated by detrital and calcareous assemblage including quartz, feldspar, calcite, organic matter and clay minerals with auxiliary pyrites and siderites. Fluctuations in depositional and diagenetic conditions caused  lateral and vertical variability in lithofacies. Superimposed on the depositional heterogeneity are spatially variable diagenetic modifications such as dissolution, compaction, cementation and stylolitization. The δ</span><sup>13</sup><span>C and δ</span><sup>15</sup><span>N stable isotopes elucidated that the formation has been deposited under anoxic conditions, which relatively enhanced the preservation of mixed marine and terrigenous organic matter. Overall, the Patala Formation exemplifies deposition in a shallow marine (shelfal) environment with episodic anoxic conditions.</span></p><p><strong>Keywords</strong><strong>:</strong> Lithofacies, Organic Matter, Paleocene, Potwar Basin, Shale Gas, Shallow Marine.</p>


Sign in / Sign up

Export Citation Format

Share Document