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Abstract
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This paper analyzes the mathematical modeling of a two-region composite reservoir using
the concepts of fractal geometry and fractional calculus. Heterogeneity of the reservoir is
considered based on fractal geometry. Fractional calculus is used to consider production
history in fractal reservoirs. An analytical solution is derived for the pressure-transient
behavior of a well in a radial composite system when wellbore storage and skin effects are
significant. Some new type-curves are developed under three outer boundary conditions:
infinite, closed and constant-pressure. These new type curves can be used to analyze welltests
from a variety of enhanced oil recovery projects, geothermal reservoirs and acidization
projects, more accurately.
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