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In order to relate the UTR from numerical grid simulations or from deconvolution to the CRM injection share constants 

1. Collect true UTRs with  

   LaTeX Math Inline
   body \displaystyle p_{u, ik}(t)

   with the same LTR asymptotic

   LaTeX Math Inline
   body \displaystyle p_{u, ik}(t) \rightarrow \frac{t}{RS}

   .
2. Select injector W₀ 
3. Select producer W₁
4. Perform two convolution tests in virtual space:
   1. Test #1 – DTR_11
      
      1. Calculate historically-averaged rate for each producer: 

         LaTeX Math Inline
         body \displaystyle q^*_k = \frac{1}{N_k} \sum_{m=1}^{N_k} q_k(t_m)

      2. Calculate DTR_11: 

         LaTeX Math Inline
         body \displaystyle p^*_{u, 11}(t) = p_{u, 11}(t) + \sum_{k \neq 1} p_{u, k1}(t) \cdot q^*_k

          (meaning that injector W₀ is shut-down and all producers are working with constant rates 

         LaTeX Math Inline
         body q^*_k

         , except producer W₁ which is working with unit-rate)
   2.  Test #2 – CTR_01
      1. Calculate historically-averaged rate for each producer: 

         LaTeX Math Inline
         body \displaystyle q^*_k = \frac{1}{N_k} \sum_{m=1}^{N_k} q_k(t_m)

      2. Calculate CTR_01: 

         LaTeX Math Inline
         body \displaystyle p^*_{u, 01}(t) = p_{u, 01}(t) + \sum_{k} p_{u, k1}(t) \cdot q^*_k

          (meaning that injector W₀ is working with unit-rate and all producers are working with constant rates 

         LaTeX Math Inline
         body q^*_k

         )
5. Calculate injection share constant 

   LaTeX Math Inline
   body f_{01}

    as: 

   LaTeX Math Inline
   body \displaystyle f_{01} = \frac{\dot p^*_{01}(t)}{\dot p^*_{11}(t)} \Bigg|_{t \rightarrow \infty}

6. Repeat the same for other producers (starting from point 3 onwards)
7. Repeat the same for other injectors (starting from point 2 onwards)

Again it is important to note a difference between

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