In linear formation approхimation the pressure response to the varying rates in the offset wells is subject to convolution equation:
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p_n(t) = = p_{i,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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