Estimation of Storativity Ratio in a Layered Reservoir With Crossflow
- Nab M. Al-Ajmi (Colorado School of Mines) | Hossein Kazemi (Colorado School of Mines) | Erdal Ozkan (Colorado School of Mines)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- April 2008
- Document Type
- Journal Paper
- 267 - 279
- 2008. Society of Petroleum Engineers
- 5.3.1 Flow in Porous Media, 4.6 Natural Gas, 5.6.4 Drillstem/Well Testing, 5.6.3 Pressure Transient Testing, 5.8.6 Naturally Fractured Reservoir, 1.8 Formation Damage, 3.3.1 Production Logging, 5.1.2 Faults and Fracture Characterisation, 5.1 Reservoir Characterisation, 5.1.5 Geologic Modeling, 5.3.2 Multiphase Flow, 5.2 Reservoir Fluid Dynamics, 4.1.2 Separation and Treating, 4.1.5 Processing Equipment
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This paper presents a practical method to estimate the storativity ratio of a dual-permeability layered reservoir with crossflow from pressure-transient data. The method uses an analytical formula for the storativity ratio in terms of the separation between the two semilog straight lines on the pressure vs. log-time plot, similar to the method used for dual-porosity systems. Knowing the storativity ratio from a well test allows individual-layer properties to be estimated if the layer flow rates are available from production logs. Demonstrations of the method to estimate the storativity ratio and individual-layer properties are presented by examples. Comparison of the results with those obtained from the existing techniques is also provided to highlight the accuracy of the proposed technique.
Depletion characteristics of commingled multilayer reservoirs are determined by the characteristics of interlayer-fluid transfer, which is dictated by the properties of the individual layers. In such systems, to obtain the individual layer properties from pressure-transient tests, two parameters are required: the storativity ratio, ?, defined as the ratio of the storativity of the layer with higher flow capacity to the total system storativity, and the transmissivity ratio, ?, which is the ratio of the higher of the layer flow capacities to the total system flow capacity. If the layer skin factors are equal, the transmissivity ratio is equal to the ratio of the flow rate of the layer with higher flow capacity to the total flow rate and may be obtained from production logs. The storativity ratio, on the other hand, needs to be determined from the pressure-transient data or by independent means.
In the literature, dual-porosity and dual-permeability system definitions are usually associated with naturally- fractured and layered systems, respectively. In principle, dual-porosity systems constitute a subset (a limiting case) of the dual-permeability systems and, as such, possess many characteristics that resemble those of dual-permeability systems (Bourdet 1985).
For dual-porosity systems, such as naturally fractured reservoirs, ? may be determined from the vertical separation,dp, between the two parallel straight lines on the pressure vs. log-time plot (Pollard 1959; Warren and Root 1963). However, for dual-permeability systems, as in layered reservoirs with crossflow, the separation between the two parallel semilog straight lines is not only a function of ? but also a function of ?. Therefore, the objective of this study is to obtain a practical relation for the storativity ratio of layered systems with crossflow in terms of the separation between the two semilog straight lines on pressure vs. log-time plot and the transmissivity ratio. We demonstrate that having an initial estimate of ? is crucial for the estimation of the other layer properties from straight-line or regression-analysis techniques.
|File Size||2 MB||Number of Pages||13|
Al-Ajmi, N.M. 2002. Estimating Storativity and Transmissivity Ratio ofMulti-Layer Reservoir and Dual-Permeability Fractured Systems. MS thesis,Golden, Colorado: Colorado School of Mines.
Bourdet, D. 1985. PressureBehavior of Layered Reservoirs With Crossflow. Paper SPE 13628 presented atthe SPE California Regional Meeting, Bakersfield, California, 27-29 March. DOI:10.2118/13628-MS.
Bourdet, D., Whittle, T.M., Douglas, A.A., and Pirard, Y.M. 1983. A New Setof Type Curves Simplifies Well Test Analysis. World Oil 196 (6):95-106.
Katz, M.L. and Tek, M.R. 1962. ATheoretical Study of Pressure Distribution and Fluid Flux in Bounded StratifiedPorous System With Crossflow. SPEJ 2 (1): 68-82;Trans., AIME, 225. SPE-146-PA. DOI: 10.2118/146-PA.
Najurieta, H.L. 1980. A Theoryfor Transient Analysis in Naturally Fractured Reservoirs. JPT32 (7): 1241-1250. SPE-6017-PA. DOI: 10.2118/6017-PA.
Olarewaju, J.S., Holditch, S.A., and Lee, W.J. 1990. Rate Performance of a LayeredReservoir With Unsteady-State Interlayer Crossflow. SPEFE 5(1): 46-52. SPE-18544-PA. DOI: 10.2118/18544-PA.
Pendergrass, J.D. and Berry, V.J. Jr. 1962. Pressure Transient Performance of aMultilayered Reservoir With Crossflow. SPEJ 2 (4): 347-354;Trans., AIME, 225. SPE-285-PA. DOI: 10.2118/285-PA.
Pollard, P. 1959. Evaluation ofAcid Treatments From Pressure Build-Up Analysis. Trans., AIME216: 38-43. SPE-981-G.
Prijambodo, R., Raghavan, R., and Reynolds, A.C. 1985. Well Test Analysis for WellsProducing Layered Reservoirs With Crossflow. SPEJ 25 (3):380-396. SPE-10262-PA. DOI: 10.2118/10262-PA.
Russell, D.G. and Prats, M. 1962. Performance of Layered Reservoirs WithCrossflow—Single-Compressible-Fluid Case. SPEJ 2 (1): 53-67;Trans., AIME, 225. SPE-99-PA. DOI: 10.2118/99-PA.
Schaprey, R.A. 1962. Approximation Methods of Transform Inversion forViscoelastic Stress Analysis. Proceeding of the Fourth U.S. National Congressof Applied Mechanics, Vol. 1, Berkeley, California: 1075-1085.
Warren, J.E. and Root, P.J. 1963. Behavior of Naturally FracturedReservoirs. SPEJ 3 (3): 245-255; Trans., AIME,228. SPE-426-PA. DOI: 10.2118/426-PA.
Wijesinghe, A.M. and Culham, W.E. 1984. Single-Well Pressure TestingSolutions for Naturally Fractured Reservoirs With Arbitrary FractureConnectivity. Paper SPE 13055 presented at the SPE Annual TechnicalConference and Exhibition, Houston, 16-19 September. DOI: 10.2118/13055-MS.
Woods, E.G. 1970. Pulse-TestResponse of a Two-Zone Reservoir. SPEJ 10 (3): 245-256;Trans., AIME, 249. SPE-2570-PA. DOI: 10.2118/2570-PA.