Pressure and pressure derivative analysis without type-curve matching for thermal recovery processes

  • Freddy Humberto Escobar Universidad Surcolombiana
  • Angela Patricia Zambrano Universidad Surcolombiana
  • Diana Vanessa Giraldo Universidad Surcolombiana
  • José Humberto Cantillo Ecopetrol – Instituto Colombiano del Petróleo, Piedecuesta, Colombia
Keywords: Pressure derivative, Well test, Pressure Analysis, Composite reservoirs, Diffusivity ratio, Storativity ratio


In recent years, a constant increase of oil prices and declining reserves of coventional crude oils have produced those deposits of lights to be considered economically unattractive to be produced as an alternative way to keep the world´s oil supply volume.

Heavy oil deposits are mainly characterized by having high resistance to flow (high viscosity), which makes them diffi-cult to produce. Since oil viscosity is a property that is reduced by increasing the temperature, thermal recovery techniques -such as steam injection or in-situ combustion- have become over the years the main tool for tertiary recovery of these oils.

Composite reservoirs can occur naturally or may be artificially created. Changes in reservoir width, facies or type of fluid (hydraulic contact) forming two different regions are examples of two-zone composite reservoirs occurring naturally. On the other hand, such enhanced oil recovery projects as waterflooding, polymer floods, gas injection, in-situ combustion, steam drive, and CO2 miscible artificially create conditions where the reservoir can be considered as a composite system. A reservoir undergoing a thermal recovery process is typically idealized as a two-zone composite reservoir, in which, the inner region represents the swept region surrounding the injection well and the outer region represents the larger portion of the reservoir. Additionally, there is a great contrast between the mobilities of the two zones and the storativity ratio being different to one.

In this work, the models and techniques developed and implemented by other authors have been enhanced. Therefore, the interpretations of the well tests can be done in an easier way, without using type-curve matching. A methodology which utilizes a pressure and pressure derivative plot is developed for reservoirs subjected to thermal recovery so that mobilities, storativity ratio, distance to the radial discontinuity or thermal front and the drainage area can be estimated. The precedence of the heat source (in-situ combustion or hot injected fluids) does not really matter for the application of this methodology; however, this was successfully verified by its application to synthetic and field examples of in-situ combustion. The point of comparison was the input data used for simulation for the synthetic case and the results from simulation matching and from previous studies for the field cases.


Engler, T.W., and Tiab, D., 1996. Analysis of Pressure and Pressure Derivate without type curve matching, 4. Naturally Fractured Reservoir, Journal of petroleum Science and Engineering 15, p. 127-138.

Escobar, F.H., Martinez, J.A., and Montealegre-M., Matilde, 2010. Pressure and Pressure Derivative Analysis for a Well in a Radial Composite Reservoir with a Non-Newtonian/Newtonian Interface. Vol. 4, No. 1. p. 33-42. Dec. 2010.

Hirasaki, G.J. and Pope, G.A., 1974. Analysis of Factors Influencing Mobility and Adsorption in the Flow of Polymer Solutions through Porous Media. Soc. Pet. Eng. J. Aug. 1974. p. 337-346.

Igbokoyi, A. and Tiab, D., 2007. New type curves for the analysis of pressure transient data dominated by skin and wellbore storage: Non-Newtonian fluid. Paper SPE 106997 presented at the SPE Production and Operations Symposium, 31 March – 3 April, 2007, Oklahoma City, Oklahoma.

Ikoku, C.U., 1979. Practical Application of Non-Newtonian Transient Flow Analysis. Paper SPE 8351 presented at the SPE 64th Annual Technical Conference and Exhibition, Las Vegas, NV, Sept. 23-26.

Ikoku, C.U. and Ramey, H.J. Jr., 1979b. Transient Flow of Non-Newtonian Power-law fluids Through in Porous Media. Soc. Pet. Eng. Journal. p. 164-174. June.

Ikoku, C.U. and Ramey, H.J. Jr., 1979c. Wellbore Storage and Skin Effects During the Transient Flow of Non-Newtonian Power-law fluids Through in Porous Media. Soc. Pet. Eng. Journal. p. 164-174. June.

Katime-Meindl, I. and Tiab, D., 2001. Analysis of Pressure Transient Test of Non-Newtonian Fluids in Infinite Reservoir and in the Presence of a Single Linear Boundary by the Direct Synthesis Technique. Paper SPE 71587 prepared for presentation at the 2001 SPE Annual Technical Conference and Exhibition held in New Orleans, Louisiana, 30 Sept.–3 Oct.

Lund, O. and Ikoku, C.U., 1981. Pressure Transient Behavior of Non-Newtonian/Newtonian Fluid Composite Reservoirs. Society of Petroleum Engineers of AIME. p. 271-280. April.

Martinez, J.A., Escobar, F.H., and Montealegre-M, M., 2011. Vertical Well Pressure and Pressure Derivative Analysis for Bingham Fluids in a Homogeneous Reservoirs. Paper accepted for publication. Dyna: Ingeniería e Industria.

Martinez, J.A., Escobar, F.H. and Cantillo, J.H., 2011b. Application of the TDS Technique to Dilatant Non-Newtonian/Newtonian Fluid Composite Reservoirs. Article sent to Ingeniería e Investigación to request publication.

Odeh, A.S. and Yang, H.T., 1979. Flow of non-Newtonian Power-Law Fluids Through in Porous Media. Soc. Pet. Eng. Journal. p. 155-163. June.

Olarewaju, J.S., 1992. A Reservoir Model of Non-Newtonian Fluid Flow, SPE paper 25301.

Savins, J.G., 1969. Non-Newtonian flow Through in Porous Media. Ind. Eng. Chem. 61, No 10, Oct. 1969. p. 18-47.

Stehfest, H., 1970. Numerical Inversion of Laplace Transform. Communications of the ACM. Jan. p. 47-49.

Tiab, D., 1993. Analysis of Pressure and Pressure Derivative without Type-Curve Matching: 1- Skin and Wellbore Storage. Journal of Petroleum Science and Engineering, Vol 12, pp. 171-181.Also Paper SPE 25423, Production Operations Symposium held in Oklahoma City, OK. pp 203-216.

Tiab, D., Igbokoyi, A., and Restrepo, D.P., 2007. Fracture Porosity From Pressure Transient Data. Paper IPTC 11164 presented at the International Petroleum Technology Conference held in Dubai, U.A.E., 4–6 December.

van Poollen, H.K., and Jargon, J.R. 1969. Steady-State and Unsteady-State Flow of Non-Newtonian Fluids Through Porous Media. Soc. Pet. Eng. J. March 1969. p. 80-88; Trans. AIME, 246.
Vongvuthipornchai, S and Raghavan, R. 1987. Well Test Analysis of Data Dominated by Storage and Skin: Non-Newtonian Power-Law Fluids. SPE Formation Evaluation, December, p. 618-628.
Warren, J.E. and Root, P.J. 1963. The Behavior of Naturally Fractured Reservoirs. Soc. Pet. Eng. J. (Sept. 1963): 245-255.

Warren, J.E. and Root, P.J. 1963. The Behavior of Naturally Fractured Reservoirs. Soc. Pet. Eng. J. (Sept. 1963): 245-255.
How to Cite
Escobar, F. H., Zambrano, A. P., Giraldo, D. V., & Cantillo, J. H. (2011). Pressure and pressure derivative analysis without type-curve matching for thermal recovery processes. CT&F - Ciencia, Tecnología Y Futuro, 4(4), 23-35.


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