RESERVOIR ENGINEERING
1. When we use parabolic dominant one-dimensional diffusion equation for describing gas flow, won’t the coefficients permeability, gas compressibility and porosity - remain to be dependent on the dependent variable (gas pressure) in tight or unconventional reservoirs?
If so, how exactly a pressure pulse gets propagated in a petroleum reservoir
(a) when we use a purely linear diffusivity equation with constant coefficients; and
(b) when we use a purely non-linear diffusivity equation, where all the coefficients remain a function of pore-pressure?
2. Will the pressure pulse that gets propagated through a petroleum reservoir would still tend to vanish and try to reach the equilibrium condition or asymptoticity at a larger time – in a tight-gas or shale-gas or a CBM Reservoir too – similar to the physics associated with a typical conventional reservoir?
3. Whether the way the pressure pulse gets propagated
(a) in a conventional petroleum reservoir (with a relatively high-permeable geological units having a relatively larger gas flow rates and in the absence of adsorption and gas-slippage); and
(b) in an unconventional reservoir (with low-permeable geological units having low gas flow rates and in the presence of adsorption and gas-slippage) will have different influence on reservoir porosity and reservoir permeability?
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