LaTeX Math Inline

body	\nabla p(t, {\bf r})

and velocity

LaTeX Math Inline

body	{\bf u}(t, {\bf r})

are not changing in time:

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alignment	left

\nabla p(t, {\bf r}) = \nabla p({\bf r})

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{\bf u}(t, {\bf r}) = {\bf u}({\bf r})

The fluid temperature

LaTeX Math Inline

body	T(t, {\bf r})

is supposed to vary slowly enough to provide quasistatic equilibrium.

Well flow regime with constant rate and constant delta pressure between wellbore and formation does not change in time:

...

Fig. 1. PTA Diagnostic Plot for vertical well in single-layer homogeneous reservoir with impermeable circle boundary (PSS).

Pressure is in blue and log-derivative is in red.

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