Abstract
This paper presents a new analysis of secondary migration of hydrocarbon that does not require capillary forces for trapping, but instead uses the method of characteristics and wave theory. The waves change speed and either reflect or refract (or partially reflect and partially refract) as they contact with layers of different flow capacities. Reflection of a certain wave from a boundary starts hydrocarbon accumulation below that boundary. The method is easy to use and conforms readily to graphical solution. For the sake of simplicity there is only two-phase flow. The application of this method gives new insights into the physics of migration and entrapment of oil. The method gives realistic times for oil accumulation and points to oil generation rate as the most sensitive variable. Oil and water densities, viscosities, and permeability are also important. We find that at the very small generation rates usually assumed the time required to develop a given column thickness is insensitive to the distance from the source rock. In general, the method also predicts a non-uniform saturation in the oil column caused by an interaction between buoyancy and viscous forces. Being based on the dynamic interactions of viscous and buoyancy forces, our theory is considerably at odds with hydrostatic approaches. We assume no capillary pressure, one-dimensional flow, and no regional groundwater flow, conditions which are not realized in actual migration. The theory should be viewed therefore as an end member of a more general theory; nevertheless, the largely graphical solutions give fundamental insights that are difficult to obtain by other techniques.
Similar content being viewed by others
References
Bryant, S. L., Schechter, R. S., and Lake, L. W., 1986, Interaction of Precipitation/Dissolution Waves and Ion Exchange in Flow Through Permeable Media: Am. Inst. Chem. Engin. J., v. 32, p. 751–764.
Buckley, S. E., and Leverett, M. C., 1942, Mechanisms of Fluid Displacement in Sands: Trans. Am. Inst. Mining Metall. Engin., v. 146, p. 107–116.
Chapman, R. E., 1983, Petroleum Geology: Elsevier, Amsterdam.
Dahlberg, E. C., 1982, Applied Hydrodynamics in Petroleum Exploration: Springer-Verlag, New York.
England, W. A., Mackenzie, A. S., Mann, D. M., and Quigley, T. M., 1987, The Movement and Entrapment of Petroleum Fluids in the Subsurface: J. Geol. Soc. London, v. 144, p. 327.
Garven, G., 1989, A Hydrogeologic Model for the Formation of Giant Oil Sands of the Western Canada Sedimentary Basins: Am. J. Sci., v. 37, n. 8, p. 105.
Heaviside, J., Brown, C. E., and Gamble, I. J. A., 1987, Relative Permeability for Intermediate Wettability Reservoirs: Paper no. SPE 16968 presented at the 62nd Annual Technical Conference and Exhibition of the Society of Petroleum Engineers, Dallas, Texas, Sept., p. 27–39.
Hubbert, M. K., 1953, Entrapment of Petroleum Under Hydrodynamic Conditions: Am. Assoc. Petrol. Geol. Bull., v. 37, n. 8, p. 1954–2026.
Lake, L. W., 1989, Enhanced Oil Recovery: Prentice-Hall, Englewood Cliffs, N.J.
Lehner, F. K., Marsal, D., Hermans, L., and van Huyk, A., 1987, A Model of Secondary Hydrocarbon Migration as a Buoyancy Driven Separate Phase Flow, in B. Doligez (Ed.), Migration of Hydrocarbons in Sedimentary Basins: Institute Français du Pétrole Exploration Research Conference, no. 45, Editions Technip, p. 457.
Lighthill, M. J., and Whitham, G. B., 1955a, On Kinematic Waves: I. Flood Movements in Long Rivers: Proc. Roy. Soc. Lond., v. A229, p. 281.
Lighthill, M. J., and Whitham, G. B., 1955b, On Kinematic Waves: II. A Theory of Traffic Flow on Long Crowded Roads: Proc. Roy. Soc. Lond., v. A229, p. 317.
Martin, J. C., 1958, Some Mathematical Aspects of Two-Phase Flow with Applications to Flooding and Gravity Segregation Problems: Prod. Month., v. 22.
McAullife, C. D., 1980, Oil and Gas Migration: Chemical and Physical Constraints, in W. H. Roberts, III and R. J. Cordell (Eds.), Problems of Petroleum Migration: American Association of Petroleum Geologists Studies in Geology, No. 10, American Association of Petroleum Geologists, Tulsa, Oklahoma, p. 89.
Peters, E. J., and Hardham, W. D., 1990, Visualization of Fluid Displacements in Porous Media Using Computed Tomography Imaging: J. Petrol. Sci. Engineer., v. 4, p. 155–168.
Pope, G. A., 1980, The Application of Fractional Flow Theory to Enhanced Oil Recovery: Soc. Petrol. Engineer. J., p. 191–205.
Pope, G. A., Lake, L. W., and Helfferich, F. G., 1978, Cation Exchange in Chemical Flooding, Part 1: Basic Theory Without Dispersion: Soc. Petrol. Engin. J., v. 18, p. 191–205.
Price, L. C., 1976, Aqueous Solubility of Petroleum as Applied to Its Origin and Primary Migration: Am. Assoc. Petrol. Geol. Bull., v. 57, n. 2, p. 213.
Rabinowicz, M., Dandurand, J. L., Jakubowski, M., Schott, J., and Cassan, J.-P., 1985, Convection in a North Sea Oil Reservoir: Inferences on Diagenesis and Hydrocarbon Migration: Earth Plant. Sci. Lett., v. 74, p. 387–404.
Rhee, Hyun-Ku, Aris, R., and Amundson, N. R., 1986, First Order Partial Differential Equations, Vol. I: Prentice-Hall, Englewood Cliffs, N.J.
Roberts, W. H., III, and Cordell, R. T., 1980, Problems of Petroleum Migration: Introduction, in W. H. Roberts, III and R. J. Cordell (Eds.), Problems of Petroleum Migration: American Association of Petroleum Geologists Studies in Geology, No. 10, American Association of Petroleum Geologists, Tulsa, Oklahoma, p. 1.
Rostron, B. J., 1990, Numerical Simulation of Oil Migration Through a Lenticular Reservoir: M. S. thesis, University of Alberta.
Schowalter, T. T., 1979, Mechanics of Secondary Hydrocarbon Migration and Entrapment: Am. Assoc. Petrol. Geol. Bull., v. 63, n. 5, p. 723.
Sheldon, J., Zondek, B., and Cardwell, W. T., 1959, One-Dimensional, Incompressible, Noncapillary, Two-phase Fluid Flow in a Porous Medium: Trans. AIME, v. 216, p. 290–296.
Siddiqui, F., 1991, Ph.D. dissertation, The University of Texas (in progress).
Straus, J. M., and Schubert, G., 1977, Thermal Convection of Water in a Porous Medium: Effect of Temperature- and Pressure-Dependent Thermodynamic and Transport Properties: J. Geophys. Res., v. 82, n. 2, p. 325–333.
Tissot, B. P., and Welte, D. H., 1987, Migration of Hydrocarbons in Sedimentary Basins: A Geological, Geochemical and Historical Perspective, in B. Doligez (Ed.), Migration of Hydrocarbons in Sedimentary Basins: Institute Francais du Petrole Exploration Research Conference, no. 45, Editions Technip, p. 1.
Tissot, B. P., and Welte, D. H., 1984, Petroleum Formation and Occurrence: Springer-Verlag, Berlin.
Ungerer, P., Doligez, B., Chenet, P. Y., Barrus, J., Bessis, F., Lafargne, E., Giroir, G., Heum, O., and Eggen, S., 1987, A 2-D Model of Basin Scale Petroleum Migration by Two Phase Fluid Flow: Application to Some Cases: in B. Doligez (Ed.), Migration of Hydrocarbons in Sedimentary Basins: Institute Francais du Petrole Exploration Research Conference, no. 45, Editions Technip, p. 415.
Wood, J. R., and Hewett, T. A., 1984, Reservoir Diagenesis and Convective Fluid Flow, Part 1. Concepts and Principles, in D. A. McDonald and R. C. Surdam (Eds.), Clastic Diagenesis: Memoir 37, American Association of Petroleum Geologists, Tulsa, Oklahoma.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Siddiqui, F.I., Lake, L.W. A dynamic theory of hydrocarbon migration. Math Geol 24, 305–327 (1992). https://doi.org/10.1007/BF00893752
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00893752