Dimensionless time function (transient heat transfer to the formation)

Input(s)

$\alpha$: Thermal Diffusivity of the Formation $\left(\mathrm{ft}^{2} /\right.$ day $)$

$r$: Diffusion Depth $(\mathrm{ft})$

$t$: Production Time (day)

Output(s)

$f(t)$: Dimensionless Time Function that Represents the Transient Heat Transfer to the formation (dimensionless)

Formula(s)

Reference(s)

Ramey Jr, H. J. (1981). Reservoir Engineering Assessment of Geothermal Systems. Department of Petroleum Engineering, Stanford University, Equation no (6.3).