Motivation
In many practical cases the reservoir flow created by a well is getting aligned with a specific direction away from well.
This happens when well is placed in a channel or a narrow compartment. It also happens around fracture planes and conductive faults.
This type of flow is called linear fluid flow and a type library model provides a reference for linear fluid flow diagnostics.
Inputs & Outputs
Inputs | Outputs | ||
---|---|---|---|
q_t | total sandface rate | p(t,x) | reservoir pressure |
p_i | initial formation pressure | p_{wf}(t) | bottom-hole pressure |
d | reservoir width | ||
\sigma | transmissibility | ||
\chi | diffusivity |
Physical Model
Constant rate production | q_t = \rm const |
Linear fluid flow | p(t, x) |
Slightly compressible fluid flow | c_t(, p) = c_r +c = \rm const |
Homogeneous reservoir | M(x, p)=M =\rm const \phi(x, p)=\phi =\rm const h(x)=h =\rm const |
Infinite boundary | x \rightarrow \infty |
Mathematical Model
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Scope of Applicability
Pressure Testing
Pressure Drop |
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Log derivative |
| Fig. 2. PTA Diagnostic plot for LFS |
See also
Physics / Fluid Dynamics / Linear fluid flow