wikipedia@wikipedia
Ideally balanced water + dead oil 1D waterflood model without gravity and capillary effects.
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| body | --uriencoded--\displaystyle t_D = \frac%7BV_\phi \, t%7D%7Bq%7D |
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| dimensionless time |
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| body | --uriencoded--\displaystyle x_D = \frac%7Bx%7D%7BL%7D |
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| dimensionless distance |
| reservoir length along -axis |
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| body | V_\phi= \phi \cdot h \cdot D \cdot L |
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| reservoir pore volume |
The equation
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can be explicitly integrated:| LaTeX Math Block |
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| anchor | ProxyBLSolution |
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| alignment | left |
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x_D(s) = \begin{cases}\dot f(s) \cdot t, & \mbox{if } s < s^*\\1- \dot f(s) \cdot t, & \mbox{if } s \geq s^*\end{cases}
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See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Dynamic Flow Model / Reservoir Flow Model (RFM)
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