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q=q_01 \cdot \cos \left(\frac{2 \pi \, t}{T} \right)

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p=p_01 \cdot \cos \left(\frac{2 \pi \, t}{T}  + \delta \right)

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bodyL


distance between the pint of flow variation and point of pressure response,

this is going to be well radius

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bodyL=r_w
for Self-Pulse Test

and distance between generating and receiving well

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bodyL= \sqrt{ \left({\bf r}_{\rm Generator} - {\bf r}_{\rm Receiver} \right ) ^2}
for Pressure Pulse Interference Test

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bodyq_1

1st harmonic amplitude of flowrate variation


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p_1 = \frac{q_0}{\sigma} ...



1st harmonic amplitude of pressure response to the flowrate variation


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



phase shift caused by pressure response delay to the flowrate variation






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



transmissbility


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



pressure diffusivity

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