An algorithm is developed for estimating the temperature increase near a wellbore associated with electromagnetic heating (EMH) processes. The algorithm accounts for heat loss to confining strata. It is useful for generating a temperature profile of an irradiated reservoir. EMH processes are most applicable as well stimulation techniques. They do not heat enough of the reservoir to serve as a general reservoir heating technique.
Introduction
Conventional thermal EOR methods, such as fireflooding and steamflooding, are commercially viable when properly applied. Every conventional method has one or more limitations. If the reservoir is shallow, the reservoir pressure may be too low to maintain a steam drive. If a reservoir is too deep, well bore heat losses become excessive. Fireflooding does not have the same depth constraints as steamflooding, but fireflood success depends on crude composition. Each of the conventional thermal methods requires sufficient reservoir transmissibility to achieve fluid injection. EMH has the potential for overcoming some of the limitations of conventional thermal methods.
Reviews of EMH techniques have been presented by Baker-Jarvis and Inguva, and Kim. Especially noteworthy as background for derivations presented in later sections of this paper was the work by Abernethy. Abernethy coupled electromagnetic absorption and fluid flow in a one dimensional radial model of well bore behavior. He made the simplifying assumption that heat losses to adjacent formations could be neglected at his level of approximation. Later work by McPherson, et al., Hiebert, et al. and Kim accounts for more physical effects, but has a corresponding increase in complexity. Our goal is to present a simple algorithm for estimating the temperature profile of an irradiated reservoir. The algorithm includes heat losses to adjacent formations, and is designed to be a tool for determining the feasibility of heating a reservoir with electromagnetic energy.
The EMH process relies on preferential absorption of electromagnetic energy as the means for increasing the temperature of a material. Different materials have different electromagnetic absorption properties.