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In some specific cases MatBal equation
| LaTeX Math Block Reference |
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can be explicitly integrated:For low compressibility rocks and |
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| For ideal dry gas |
| LaTeX Math Inline |
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| body | \{ \phi_e = {\rm const}, \ c_t = {\rm const} \} |
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| LaTeX Math Block Reference |
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| LaTeX Math Block |
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| p(t) = p_i + \frac{\Delta Q(t)}{V_e \cdot c_t} |
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where
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| LaTeX Math Inline |
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| body | V_e = A_e \, h_e \, \phi_e |
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For ideal dry gas:
| LaTeX Math Block |
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| p(t) = p_i \exp \left[ \frac{\Delta Q(t)}{V_e \cdot c_t} \right] |
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where
See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis
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