Overburden and under-burden formations are infinite sources/sinks.
Overburden and under-burden formations remain at their original temperatures even after heat transfer to/from the reservoir occurs. 5.
The original temperature of overburden and under-burden formations is the same as the reservoir temperature at initial conditions.
Overburden and under-burden formations remain at their original temperatures even after heat transfer to/from the reservoir occurs.
The primary reason is that our model accounts for fluid heat loss to the overburden and under-burden formations.
As reservoir porosity and permeability increase and the heat transfer coefficient to the over- and under-burden decreases, the warm water injection process becomes more favorable.
In modeling temperature distribution in the reservoir, many investigators have neglected heat transfer to/from overburden and under-burden formations (dot{Q}).
Additionally, heat transfer from a reservoir to overburden and under-burden formations is incorporated in this model formulation following App's approach.
Onur and Cinar (2016) presented an analytical solution accounting for the J T effect, but not heat exchange with the overburden and under-burden formations.
Fluid temperature, °F, T. Fluid temperature at reservoir external boundary, °F, T. Initial reservoir temperature, °F, T. Temperature of overburden and under-burden formations, °F, T. Flowing-fluid temperature at well bottom, °F, T. Superficial velocity, ft/hr, L/t.
The advantage of this analytical model over other analytical solutions for reservoir temperature estimation is that heat transfer from/to overburden and under-burden formations (dot{Q}) is included.
