Motivation
In many practical cases the reservoir flow created by well is getting aligned with a radial direction towards or away from well.
This type of flow is called radial fluid flow and a type library model provides a reference for radial fluid flow diagnostics.
Inputs & Outputs
Inputs | Outputs | ||
---|---|---|---|
q_t | total sandface rate | p(t,r) | reservoir pressure |
p_i | initial formation pressure | p_{wf}(t) | well bottomhole pressure |
d | reservoir channel width | ||
\sigma | transmissibility | ||
\chi | pressure diffusivity |
Physical Model
Constant rate production | q_t = \rm const |
Linear fluid flow | p(t, {\bf r}) |
Slightly compressible fluid flow | c_t(p) = c_r +c = \rm const |
Homogeneous reservoir | M({\bf r}, p)=M =\rm const \phi({\bf r}, p)=\phi =\rm const h({\bf r})=h =\rm const |
Infinite boundary | r \rightarrow \infty |
Mathematical Model
Scope of Applicability
Pressure Testing – Infinite reservoir
Pressure Drop |
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Log derivative |
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Fig. 2. PTA Diagnostic plot for radial fluid flow |
See also
Physics / Fluid Dynamics / Radial fluid flow
[ 1DR pressure diffusion of low-compressibility fluid ]