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LaTeX Math Inline
body--uriencoded--%7B\bf u%7D

flow velocity

LaTeX Math Inline
bodyp

fluid pressure

LaTeX Math Inline
bodyA(f)

normalised noise spectrum, 

LaTeX Math Inline
body--uriencoded--\displaystyle \int_0%5e\infty A(f) \, df = 1

LaTeX Math Inline
bodyf

noise frequency


While propagating through the rocks the different frequencies will decay at different rate 

LaTeX Math Inline
body\lambda(f)
 and if noise sensor is located at 
LaTeX Math Inline
body--uriencoded--%7B\bf r%7D_0 = \%7B0, \, 0, \, 0\%7D
 then the it will capture:

LaTeX Math Block
anchorQPJK2
alignmentleft
\delta N_S = int_V A(f) \cdot {\bf u} \cdot \nabla p \cdot \exp[-r/\lambda(f)] \cdot \delta V 


See also

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Reservoir Noise