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t^*(t) = \mu_(p_{ref}) \cdot c_t(p_{ref}) \cdot \tau(t) = \mu_(p_{ref}) \cdot c_t(p_{ref}) \cdot \int_0^t \frac{dt}{\mu(p) \, c_t(p)} |
where
It is widely used in Pressure Diffusion @model and transient data analysis (PTA / RTA ) of strongly compressible fluids.
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The usual practise is to select
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| body | --uriencoded--p_%7Bref%7D = p(t=0) |
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as the bottom-hole pressure at initial time moment.Selection of
depends on objectives.In Pressure Build Up (PBU) survey the
is calculated as sandface bottom-hole pressure: | LaTeX Math Inline |
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| body | --uriencoded--p(t) = p_%7Bwf%7D(t) |
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.In Drawdown survey (DD) survey the
is calculated as field-average formation pressure: .In case the Normalized Pseudo-Time is used to linearize the Pressure Diffusion equation the choice of reference pressure is not going to affect the solution.
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