Reverse the problem to spatial superposition where pressure response in
-well is decomposed into a sum of individual pressure responses from :
p_m(t) = p_i + \sum_k \delta p_{mk}(t) = p_i + \int_0^t p_{umk}(t-\tau) \, dq_k(\tau) = p_i + \int_0^t p_{umm}(t-\tau) \, dq_k(\tau) + \sum_{k \neq m} \int_0^t p_{umk}(t-\tau) \, dq_k(\tau) |
where
specific component of | |
DTR pressure response in | |
CTR pressure response in |
The ultimate problem is to find transient responses for cross-well intervals.