Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

InputsOutputs

LaTeX Math Inline
bodyp(t)

field-average formation pressure at time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyQ^{\downarrow}_{AQ}(t)

Cumulative subsurface water influx from aquifer

LaTeX Math Inline
bodyp_i

initial formation pressure

LaTeX Math Inline
bodyq^{\downarrow}_{AQ}(t) = \frac{dQ^{\downarrow}_{AQ}}{dt}

Subsurface water flowrate from aquifer

LaTeX Math Inline
body\sigma

aquifertransmissibility





LaTeX Math Inline
body\chi

aquiferdiffusivity

LaTeX Math Inline
bodyA_e

pay area

...


Physical Model

...


Infinite Acting Radial Flow Aquifer


LaTeX Math Block
anchor2
alignmentleft
J_{AQ}(t) = \frac{4 \pi \sigma}{ \ln \frac{1.781 \cdot A_e^2}{ 4 \pi \chi t} }

...




Mathematical Model

...



LaTeX Math Block
anchor1
alignmentleft
\frac{d Q_{AQ}}{dt} = J_{AQ}(t) \cdot ( p_i - p(t))



LaTeX Math Block
anchor2
alignmentleft
J_{AQ}(t) = \frac{4 \pi \sigma}{ \ln \frac{1.781 \cdot A_e^2}{ 4 \pi \chi t} }


...