In case of harmonic pulsations and sufficiently long pressure-rate delay time and a simple diffusion model (single-bed homogeneous reservoir without boundary) the pressure pulse response can be approximated by analytical model:
q=q_1 \cdot \cos \left(\frac{2 \pi \, t}{T} \right) |
p=p_1 \cdot \cos \left(\frac{2 \pi \, t}{T} + \delta_1 \right) |
where
distance between the point of flow variation (pressure pulse generating well) and point of pressure response (pressure pulse receiving well), being:
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1st harmonic amplitude of flowrate variation | ||
| 1st harmonic amplitude of pressure response to the flowrate variation | |
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| formation transmissbility | |
| formation pressure diffusivity |
Pressure Pulse Calculator – Excel Calculator for Harmonic Pressure Pulsations interpretation |