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p=p_0 \cdot \cos \left(\frac{2 \pi \, t}{T} + \delta \right) |
where
| distance between the pint of flow variation and point of pressure response, this is going to be well radius for Self-Pulse Testand distance between generating and receiving well LaTeX Math Inline |
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body | L= \sqrt{ \left({\bf r}_{\rm Generator} - {\bf r}_{\rm Receiver} \right ) ^2} |
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| for Pressure Pulse Interference Test |
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| amplitude of flowrate variation |
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| p_1 = \frac{q_0}{\sigma} ... |
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amplitude of pressure response to the flowrate variation |
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| \delta = \frac{\pi}{8} + \frac{L}{\sqrt{\chi \, T}} |
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phase shift caused by pressure response delay |
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to the flowrate variation LaTeX Math Block |
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p_0 = \frac{q_0}{\sigma} ... |
pressure response to the flowrate variation |
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| \sigma = \left< \frac{k}{\mu} \right> h |
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transmissbility |
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| \chi = \left< \frac{k}{\mu} \right> \frac{1}{c_t \, \phi} |
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pressure diffusivity |
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In case of non-harmonic the pressure pulse response is being matched by numerical model.
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