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Ideally balanced water + dead oil 1D waterflood model without gravity and capillary effects.
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| \frac{\partial s}{\partial t} + \frac{\partial }{\partial x} \left( \frac{q \, f}{\phi \, A } \right) = 0 |
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| s(t=0,x) = 0 |
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| s(t,0) = 1 |
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where
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| body | --uriencoded--\displaystyle s= E_D = \frac%7Bs_w - s_%7Bwi%7D%7D%7B1-s_%7Bwi%7D-s_%7Bor%7D%7D |
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| displacement efficiency |
| sandface injection rate, assumed equal to sandface liquid production rate |
| cross-section area available for flow |
| reservoir thickness |
| rerservoir width = reservoir length transversal to flow |
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| body | --uriencoded--\displaystyle f = \frac%7B1%7D%7B1+M_%7Bro%7D/M_%7Brw%7D%7D |
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| in-situ fractional flow function |
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| body | --uriencoded--M_%7Bro%7D= k_%7Bro%7D(s_o)/\mu_o |
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| relative oil mobility |
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| body | --uriencoded--M_%7Bwo%7D = k_%7Brw%7D(s_w)/\mu_w |
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| relative water mobility |
See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Dynamic Flow Model / Reservoir Flow Model (RFM)
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