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| LaTeX Math Block |
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| \frac{\partial s}{\partial t} + q \cdot \frac{q}{\partialphi }{\partial, x\Sigma} \left(cdot \frac{\partial f}{\phi \, \Sigmapartial x} \right) = 0 |
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| s(t=0,x) = 0 |
| | LaTeX Math Block |
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| s(t,0) = 1 |
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| LaTeX Math Block |
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| anchor | ProxyBL |
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| alignment | left |
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| \frac{\partial s}{\partial t_D} +\frac{\partial f}{\partial x_D} = 0 |
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| anchor | ProxyIC |
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| alignment | left |
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| s(t=0,x) = 0 |
| | LaTeX Math Block |
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| anchor | ProxyBC |
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| alignment | left |
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| s(t,0) = 1 |
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where
| LaTeX Math Inline |
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| body | --uriencoded--\displaystyle t_D = \ |
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|
frac%7BV| frac%7Bq \, t%7D%7BV_\phi |
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\, t%7D%7Bq%7D | dimensionless time |
| LaTeX Math Inline |
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| body | --uriencoded--\displaystyle x_D = \frac%7Bx%7D%7BL%7D |
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|
| dimensionless distance between injector and producer |
| reservoir length along -axis |
| LaTeX Math Inline |
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| body | --uriencoded--V_%7B\phi m%7D= (1-s_%7Bwi%7D-s_%7Borw%7D) \cdot \phi \cdot h \cdot D \cdot L |
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| mobile reservoir pore volume |
See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Dynamic Flow Model / Reservoir Flow Model (RFM)
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