Extension/Modification of Original Darcy’s Law for its applicability in a Petroleum Reservoir
1. Does modified Darcy’s law allow the investigation of complex reservoir fluid (water, oil & gas) characteristics - passing through an oil or a gas reservoir?
2. Does modified Darcy’s law have well-defined limitations associated with the characterization of water, oil & gas?
3. Does modified Darcy’s law allow the investigation of the complex petroleum reservoir rock characteristics?
4. Does modified Darcy’s law allow to understand the limitations relating to the nature of the reservoir rock characteristics?
5. If original Darcy’s law remains applicable for a single-fluid phase, homogeneous fluid, then, how would it remain feasible to analyze - fluid flow through a petroleum reservoir, which is essentially a mixture of more than one fluid?
Can we apply modified Darcy’s law in saturated reservoirs, where the oil keeps expelling out the dissolved gases?
Even in an under-saturated reservoir, can we always find oil-water system in the absence of a dispersed mixture?
Will it always remain as a homogeneous fluid by ensuring complete miscibility and keep remaining so throughout the petroleum reservoir system during its entire production life?
6. With a parabolic distribution of velocity profile within each single-pore in a reservoir @ pore-scale, while, having a uniform velocity (or fluid flux) across the entire pay-zone thickness @ macroscopic-scale, whether, dealing only with ‘pressure’ and ignoring ‘velocity’ concept remains reasonable?
7. Does modified Darcy’s law can take into account the uncertainty resulting from non-uniformity and unknown details characterizing the structure of a petroleum reservoir?
How about the drastic limitations and the idealistic assumptions associated with modified Darcy’s law towards applying the same to problems of practical interest related with oil and gas fields?
8. To what extent, modified Darcy’s law helps us in determining the fundamental properties of a petroleum reservoir system and in ascertaining the behavior of a reservoir under modified conditions?
9. While porosity remains to be independent of pore-radius; and, permeability remains to be proportional to square of pore-radius, how about the absence of an explicit porosity term in original Darcy’s law as we have a lack of proportionality between porosity and permeability even in an ideal case?
Or, do we need an explicit relation that correlates the reduction in porosity with the reduction in permeability – in order to have information on any post-depositional alteration in a clastic sediment either by compaction or by cementation that will be resulting in a reduction in permeability?
10. Does modified Darcy’s law consider the amount of compaction that will in turn depend on the composition of the particles as well as the initial porosity of assemblage?
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