Drainage Capillary-Pressure Functions and the Influence of Connate Water

1974 ◽  
Vol 14 (05) ◽  
pp. 437-444 ◽  
Author(s):  
J.M. Dumore ◽  
R.S. Schols

Abstract Drainage capillary-pressure functions of reservoir rock-fluid-fluid systems are usually obtained by determining mercury-air capillary-pressure functions on the rock material and subsequently transforming the functions into those of the relevant systems. This procedure is followed because mercury-air capillary pressures can be measured rapidly and easily. The question arises whether this indirect procedure gives the same results as direct procedure gives the same results as direct measurements on the system in question. To investigate ibis, drainage capillary-pressure functions have been determined on the same rock material with various fluid-fluid combinations, including mercury-air. The measurements have been carried out by the semipermeable-membrane method under carefully controlled conditions. It appeared that with the aid of the measured interfacial tension, permeabilities, antiporosities, the capillary-pressure permeabilities, antiporosities, the capillary-pressure measurements could be transformed into one dimensionless capillary-pressure function without large discrepancies. Thus, the indirect method can indeed be applied in obtaining reasonably accurate results for the systems considered.The mercury-air interfacial tension of the mercury used in the experiments bas been found to be time-dependent as measured by the pendent-drop method. After a certain aging time of the drop, the interracial tension reaches an almost constant value and it is this value that must be used in the transformations.Additional measurements of drainage capillary-pressure functions for the rock-gas-oil system in the presence of connate water show that at sufficiently high gas-oil capillary-pressures, very low residual-oil saturations are obtained, irrespective of whether or not the oil phase spreads on water in the presence of gas. Low oil saturations are also obtained in gravity-drainage experiments after long drainage times when the capillary pressure is sufficiently high, possibly as a result pressure is sufficiently high, possibly as a result of oil "film flow." The contribution to oil production from film flow in secondary gas caps is production from film flow in secondary gas caps is thought to be generally negligible during the lifetime of a reservoir. In primary gas caps, however, where film flow may have occurred during geologic time spans, very low oil saturations may occur. Introduction The efficiency of oil recovery in the gas- and water-invaded zones of an oil reservoir is, apart from other properties, affected by the capillary properties of the rock-gas-oil and rock-water-oil properties of the rock-gas-oil and rock-water-oil systems present. Particularly in highly fractured oil reservoirs, being composed of a multitude of separated matrix blocks, the ultimate recoveries in gas- and water-invaded regions depend strongly on the capillary entrapments. Capillary properties are generally characterized by capillary-pressure functions. Those functions relate the capillary pressure - i.e., the pressure difference between two fluids present in the reservoir rock and the saturation of the rock by those two fluids. The functions depend on the way the saturations have been reached, a phenomenon known as capillary hysteresis. When the wetting-fluid saturation decreases monotonically from initially complete saturation, the function is called the "drainage capillary-pressure function"; when it increases monotonically from its irreducible saturation, the function is called "the imbibition capillary-pressure function." Between these two extremes many other capillary-pressure functions exist, depending on the initial value and change (not necessarily monotonic) of the wetting-fluid saturation.Capillary-pressure functions can be determined directly on the system in question, for instance by the time-consuming semipermeable-membrane method' or a centrifuge method, or indirectly with another fluid-fluid combination on the same rock material (for instance, by Purcell's rapid mercury-injection method), The functions obtained by the latter method must be transformed to those of the relevant system. SPEJ P. 437

2021 ◽  
Vol 40 (10) ◽  
pp. 716-722
Author(s):  
Yangjun (Kevin) Liu ◽  
Michelle Ellis ◽  
Mohamed El-Toukhy ◽  
Jonathan Hernandez

We present a basin-wide rock-physics analysis of reservoir rocks and fluid properties in Campeche Basin. Reservoir data from discovery wells are analyzed in terms of their relationship between P-wave velocity, density, porosity, clay content, Poisson's ratio (PR), and P-impedance (IP). The fluid properties are computed by using in-situ pressure, temperature, American Petroleum Institute gravity, gas-oil ratio, and volume of gas, oil, and water. Oil- and gas-saturated reservoir sands show strong PR anomalies compared to modeled water sand at equivalent depth. This suggests that PR anomalies can be used as a direct hydrocarbon indicator in the Tertiary sands in Campeche Basin. However, false PR anomalies due to residual gas or oil exist and compose about 30% of the total anomalies. The impact of fluid properties on IP and PR is calibrated using more than 30 discovery wells. These calibrated relationships between fluid properties and PR can be used to guide or constrain amplitude variation with offset inversion for better pore fluid discrimination.


Geofluids ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Feisheng Feng ◽  
Pan Wang ◽  
Zhen Wei ◽  
Guanghui Jiang ◽  
Dongjing Xu ◽  
...  

Capillary pressure curve data measured through the mercury injection method can accurately reflect the pore throat characteristics of reservoir rock; in this study, a new methodology is proposed to solve the aforementioned problem by virtue of the support vector regression tool and two improved models according to Swanson and capillary parachor parameters. Based on previous research data on the mercury injection capillary pressure (MICP) for two groups of core plugs excised, several permeability prediction models, including Swanson, improved Swanson, capillary parachor, improved capillary parachor, and support vector regression (SVR) models, are established to estimate the permeability. The results show that the SVR models are applicable in both high and relatively low porosity-permeability sandstone reservoirs; it can provide a higher degree of precision, and it is recognized as a helpful tool aimed at estimating the permeability in sandstone formations, particularly in situations where it is crucial to obtain a precise estimation value.


1988 ◽  
Vol 254 (4) ◽  
pp. H772-H784 ◽  
Author(s):  
M. J. Davis

The extent to which capillary hydrostatic pressure might be protected from increases in local arterial and venous pressure was examined in the wing microcirculation of unanesthetized pallid bats (Antrozous pallidus). Arterial inflow and venous outflow pressures to the wing were elevated using a box technique to increase pressure around the body of the animal in steps of 12 mmHg between 0 and +60 mmHg for 3-min periods. During this time, hydrostatic pressure, diameter, and red cell velocity in single microvessels were continuously recorded. All branching orders of arterioles constricted significantly during increases in box pressure (Pb), while capillaries and venules dilated. First-order arteriole and venule pressures increased 1:1 with Pb. Capillary pressures increased by only a fraction of Pb up to +36 mmHg, but at higher Pb, the change in capillary pressure was equivalent to the change in Pb. Calculations of vascular resistance indicate that changes in both pre- and postcapillary resistance in this tissue act to prevent increases in capillary pressure during moderate, but not during large, increases in arterial and venous pressure.


SPE Journal ◽  
2018 ◽  
Vol 23 (06) ◽  
pp. 2394-2408 ◽  
Author(s):  
Sajjad S. Neshat ◽  
Gary A. Pope

Summary New coupled three-phase hysteretic relative permeability and capillary pressure models have been developed and tested for use in compositional reservoir simulators. The new formulation incorporates hysteresis and compositional consistency for both capillary pressure and relative permeability. This approach is completely unaffected by phase flipping and misidentification, which commonly occur in compositional simulations. Instead of using phase labels (gas/oil/solvent/aqueous) to define hysteretic relative permeability and capillary pressure parameters, the parameters are continuously interpolated between reference values using the Gibbs free energy (GFE) of each phase at each timestep. Models that are independent of phase labels have many advantages in terms of both numerical stability and physical consistency. The models integrate and unify relevant physical parameters, including hysteresis and trapping number, into one rigorous algorithm with a minimum number of parameters for application in numerical reservoir simulators. The robustness of the new models is demonstrated with simulations of the miscible water-alternating-gas (WAG) process and solvent stimulation to remove condensate and/or water blocks in both conventional and unconventional formations.


2019 ◽  
Vol 142 (6) ◽  
Author(s):  
Xiangnan Liu ◽  
Daoyong Yang

Abstract In this paper, techniques have been developed to interpret three-phase relative permeability and water–oil capillary pressure simultaneously in a tight carbonate reservoir from numerically simulating wireline formation tester (WFT) measurements. A high-resolution cylindrical near-wellbore model is built based on a set of pressures and flow rates collected by dual packer WFT in a tight carbonate reservoir. The grid quality is validated, the effective thickness of the WFT measurements is examined, and the effectiveness of the techniques is confirmed prior to performing history matching for both the measured pressure drawdown and buildup profiles. Water–oil relative permeability, oil–gas relative permeability, and water–oil capillary pressure are interpreted based on power-law functions and under the assumption of a water-wet reservoir and an oil-wet reservoir, respectively. Subsequently, three-phase relative permeability for the oil phase is determined using the modified Stone II model. Both the relative permeability and the capillary pressure of a water–oil system interpreted under an oil-wet condition match well with the measured relative permeability and capillary pressure of a similar reservoir rock type collected from the literature, while the relative permeability of an oil–gas system and the three-phase relative permeability bear a relatively high uncertainty. Not only is the reservoir determined as oil-wet but also the initial oil saturation is found to impose an impact on the interpreted water relative permeability under an oil-wet condition. Changes in water and oil viscosities and mud filtrate invasion depth affect the range of the movable fluid saturation of the interpreted water–oil relative permeabilities.


Fuel ◽  
2020 ◽  
Vol 268 ◽  
pp. 117018 ◽  
Author(s):  
Amer M. Alhammadi ◽  
Ying Gao ◽  
Takashi Akai ◽  
Martin J. Blunt ◽  
Branko Bijeljic

SPE Journal ◽  
2019 ◽  
Vol 25 (02) ◽  
pp. 820-831 ◽  
Author(s):  
Kaiyi Zhang ◽  
Bahareh Nojabaei ◽  
Kaveh Ahmadi ◽  
Russell T. Johns

Summary Shale and tight reservoir rocks have pore throats on the order of nanometers, and, subsequently, a large capillary pressure. When the permeability is ultralow (k < 200 nd), as in many shale reservoirs, diffusion might dominate over advection, so that the gas injection might no longer be controlled by the multicontact minimum miscibility pressure (MMP). For gasfloods in tight reservoirs, where k > 200 nd and capillary pressure is still large, however, advection likely dominates over diffusive transport, so that the MMP once again becomes important. This paper focuses on the latter case to demonstrate that the capillary pressure, which has an impact on the fluid pressure/volume/temperature (PVT) behavior, can also alter the MMP. The results show that the calculation of the MMP for reservoirs with nanopores is affected by the gas/oil capillary pressure, owing to alteration of the key tie lines in the displacement; however, the change in the MMP is not significant. The MMP is calculated using three methods: the method of characteristics (MOC); multiple mixing cells; and slimtube simulations. The MOC method relies on solving hyperbolic equations, so the gas/oil capillary pressure is assumed to be constant along all tie lines (saturation variations are not accounted for). Thus, the MOC method is not accurate away from the MMP but becomes accurate as the MMP is approached when one of the key tie lines first intersects a critical point (where the capillary pressure then becomes zero, making saturation variations immaterial there). Even though the capillary pressure is zero for this key tie line, its phase compositions (and, hence, the MMP) are impacted by the alteration of all other key tie lines in the composition space by the gas/oil capillary pressure. The reason for the change in the MMP is illustrated graphically for quaternary systems, in which the MMP values from the three methods agree well. The 1D simulations (typically slimtube simulations) show an agreement with these calculations as well. We also demonstrate the impact of capillary pressure on CO2-MMP for real reservoir fluids. The effect of large gas/oil capillary pressure on the characteristics of immiscible displacements, which occur at pressures well below the MMP, is discussed.


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