| Title | Development of Fractional Derivative-Based Mass and Heat Transport Model |
|---|---|
| Authors | Anna SUZUKI, Roland N. HORNE, Hiroshi MAKITA, Yuichi NIIBORI, Sergei A. FOMIN, Vladimir A. CHUGUNOV, Toshiyuki HASHIDA |
| Year | 2013 |
| Conference | Stanford Geothermal Workshop |
| Keywords | mathematical model, fractional derivative, TOUGH2, reinjection, tracer analysis |
| Abstract | A numerical scheme to evaluate the effect of cold water injection in a geothermal reservoir has been proposed. The governing equations are derived based on non-Fickian mass transport model. We assume conduction into surrounding rocks using fractional derivative in time, as well as non-Fickian diffusion into the surrounding rocks has been derived. The constitutive parameters in the heat transfer model are capable to determine mechanisms of heat-fluid–rock interaction within the reservoir of a complex geological structure. Numerical investigations have shown that topography of a reservoir wall affects on tracer responses and temperature distributions. The long tails can be found in tracer response curves in a reservoir with rough surfaces. The permeability difference between a reservoir and surrounding rocks leads to retardation of tracer and thermal breakthrough. |