In linear formation approхimation the pressure response to the varying rates in the offset wells is subject to convolution equation:
| LaTeX Math Block |
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p_n(t)
= p_{0,n} + \sum_{k = 1}^N \int_0^t p^u_{nk}(t - \tau) \, \dot q_k \, d\tau
\approx p_{i,n} + \sum_{k = 1}^N \sum_{\alpha = 1}^{N_k} \big( q^{(\alpha)}_k - q^{(\alpha-1)}_k \big) \ p^u_{nk}(t - t_{\alpha k}) |
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| 1 | | pressure at -th well at arbitrary moment of time |
| 2 | | LaTeX Math Inline |
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| body | --uriencoded--p_%7B0n%7D = p_{i,n}n(0) |
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| initial pressure at -the well |
| 3 | | rate value of -th transient at -th well |
| 4 | | pressure transient response in -th wel to unit-rate production from -th well |
| 5 | | starting point of the -th transient in -th well |
| 6 | | number of wells in the test |
| 7 | | number of transients in -th well |
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The weight coefficients
and
control contributions from corresponding components and should be calibrated to the reference transients (manuualy or automatically).
The
| Hint |
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| 0 | MDCV |
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| 1 | Multiwell Deconvolution |
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XDCV methodology constitute a big area of practical knowledge and not all the tricks and solutions are currenlty automated and require a practical skill.
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Production Analysis (PA) / Pressure Deconvolution / Multiwell deconvolution (MDCV) / XDCV
