Temperature of a single-phase liquid or gas injected geothermal well

Input(s)

Tsurf: T_{\text {surf: }} Surface Temperature of the Earth (F)\left({ }^{\circ} \mathrm{F}\right)

TinjT_{i n j}: Temperature of the Injected Fluid (F)\left({ }^{\circ} \mathrm{F}\right)

a: Geothermal Gradient (F/ft)\left({ }^{\circ} \mathrm{F} / \mathrm{ft}\right)

A: Diffusion Depth (ft)

zz: Distance from the Bottom of the Well (ft)

Output(s)

T: Temperature of a Single-Phase Liquid or Gas Injected Geothermal Well (F)\left({ }^{\circ} \mathrm{F}\right)

Formula(s)

T=Tsurf +azaA+(Tinj Tsurf +aA)ez/A\mathrm{T}=\mathrm{T}_{\text {surf }}+\mathrm{az}-\mathrm{aA}+\left(\mathrm{T}_{\text {inj }}-\mathrm{T}_{\text {surf }}+\mathrm{aA}\right) \mathrm{e}^{-\mathrm{z} / \mathrm{A}}

Reference(s)

Ramey Jr, H. J. (1981). Reservoir Engineering Assessment of Geothermal Systems. Department of Petroleum Engineering, Stanford University. Page: 6.6.


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