For the pressure diffusion with constant diffusion coefficients and homogeneous boundary conditions the pressure response in one well to a complex flowrate history in the same well and offset wells honers the convolution equation:
| (1) | p_n(t) = p_{n, 0} + \sum_{m=1}^N \int_0^t p_{u,nm}(t-\tau) \, dq_m(\tau) |