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LaTeX Math Inline

body	L

distance between the point of flow variation (pressure pulse generating well) and point of pressure response (pressure pulse receiving well), being:

well radius
LaTeX Math Inline
body L=r_w
for Self-Pulse Test
distance between generating and receiving well
LaTeX Math Inline
body L= \sqrt{ \left({\bf r}_{\rm Generator} - {\bf r}_{\rm Receiver} \right ) ^2}
for Pressure Pulse Interference Test

LaTeX Math Inline

body	q_1

1^st harmonic amplitude of flowrate variation

LaTeX Math Block

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alignment	left

p_1 = \frac{q_1}{\sigma} ...

1^st harmonic amplitude of pressure response to the flowrate variation

LaTeX Math Block

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alignment	left

\delta_1 = \frac{\pi}{8} + \frac{L}{\sqrt{\chi \, T}}

phase shift caused by pressure response delay to the flowrate variation

LaTeX Math Block

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alignment	left

\sigma = \left< \frac{k}{\mu} \right> h

LaTeX Math Block

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alignment	left

\chi = \left< \frac{k}{\mu} \right> \frac{1}{c_t \, \phi}

References

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group	arax

Pressure Pulse Calculator – Excel Calculator for Harmonic Pressure Pulsations interpretation

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