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| Aquifer Drive |
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| Aquifer Drive |
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| nopanel | true |
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Inputs & Outputs
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| LaTeX Math Inline |
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| body | V_{AQ} = A_e \cdot h_e \cdot \phi |
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aquifer porosity
Physical Model
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Mathematical Model
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| LaTeX Math Block |
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| \frac{d Q^{\downarrow}_{AQ}}{dt_D} |
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Assumptions
| Const Productivity Index Aquifer | |
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| LaTeX Math Block |
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J_{AQ}q_{AQ}}{p B \cdot (p_i - p(t_D)) - Q^{\downarrow}_{AQ} \cdot p'_D(t_D) |
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-} =rm constmathblock{AQ}(t) = p_i - \frac{Q_{AQ}(t)}{V_{AQ} \cdot c_t}...
D= \frac{370.529 \, \sqrt{t_D} +137.528 \, t_D + 5.69549 \, t_D^{1.5}}
{328.834 +265.488 \, \sqrt{t_D} + 45.2157 \, t_D + t_D^{1.5} } |
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CT | q^{\downarrow}_{AQ}(t)=\frac{d Q^{\downarrow}_{AQ}}{dt} |
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| p'_D= \frac
{ |
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Bcdot (p_i - p(t)) - Q_{AQ} \cdot p'_D(t)}{p_D(t) - t \cdot p'_D(t), \sqrt{t_D} + 270.038 \, t_D + 71.0098 \, t_D^{1.5} }
{ 1296.86 \, \sqrt{t_D} + 1204.73 \, t_D + 618.618 \, t_D^{1.5} + 538.072 \, t_D^2 + 142.41 \, t_D^{2.5} } |
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q^{\downarrow}_{AQ}(t)=d Q^{\downarrow}_{AQ}}{dt} |
| Expand |
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| Equation | LaTeX Math Block Reference |
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is not a solution of diffusion equation but an approximation of VEH model which does not involve convolution integral. |
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Computational Model
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| LaTeX Math Block |
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| Q^{\downarrow}_{AQ}(t_{D,n}) = Q^{\downarrow}_{AQ}(t_{D, \, n-1}) + (t_{D,n}-t_{D,\, n-1}) \cdot
\frac{ B \cdot (p_i - p(t_{D,n})) - Q^{\downarrow}_{AQ}(t_{D, \, n-1}) \cdot p'_D(t_{D,n})}{p_D(t_{D,n}) - t_{D,\, n-1} \cdot p'_D(t_{D, n})} |
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See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling / Aquifer Drive / Aquifer Drive @modelModels
Reference
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1. Carter, R.D. and Tracy, G.W. 1960. An Improved Method for Calculating Water Influx. Trans., AIME 219: 415.
2. Tarek Ahmed, Paul McKinney, Advanced Reservoir Engineering (eBook ISBN: 9780080498836)
