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- Collect true UTRs with the same LTR asymptotic.
- Perform two convolution tests in virtual space:
- Test #1 – DTR 11
- Calculate historically-averaged rate for each producer:
LaTeX Math Inline |
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body | \displaystyle q^*_k = \frac{1}{N_k} \sum_{m=1}^{N_k} q_k(t_m) |
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- Calculate DTR_11:
LaTeX Math Inline |
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body | \displaystyle p^*_{u, 11}(t) = p_{u, 11}(t) + \sum_{k \neq 1} p_{u, k1}(t) \cdot q^*_k |
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(meaning that injector W0 is shut-down and all producers are working with constant rates , except producer W1 which is working with unit-rate)
- Test #2 – CTR 01
- Calculate historically-averaged rate for each producer:
LaTeX Math Inline |
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body | \displaystyle q^*_k = \frac{1}{N_k} \sum_{m=1}^{N_k} q_k(t_m) |
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- Calculate CTR_01:
LaTeX Math Inline |
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body | \displaystyle p^*_{u, 01}(t) = p_{u, 01}(t) + \sum_{k} p_{u, k1}(t) \cdot q^*_k |
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(meaning that injector W0 is working with unit-rate and all producers are working with constant rates )
- Calculate injection share constant as:
LaTeX Math Inline |
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body | f_{01} = - \frac{p^*_{01}(t)}{p^*_{11}(t)} \Bigg|_{t \rightarrow \infty} |
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Calculate
Again it is important to note a difference between
- CRM assumptions (constant PI, constant drainage volumes with no flow boundaries and constant total compressibility) – which may or may not take place and hence may or may not make CRM applicable in a specific case
and
- CRM concept of mismatching drainage volumes between producers and injectors which is just a terminology and does not exert restrictions on well-reservoir system
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