s u m m a r y A one-dimensional heat-transport model for conduit flow in karst aquifers is presented as an alternative to two or three-dimensional distributed-parameter models, which are data intensive and require knowledge of conduit locations. This model can be applied for cases where water temperature in a well or spring receives all or part of its water from a phreatic conduit. Heat transport in the conduit is simulated by using a physically-based heat-transport equation that accounts for inflow of diffuse flow from smaller openings and fissures in the surrounding aquifer during periods of low recharge. Additional diffuse flow that is within the zone of influence of the well or spring but has not interacted with the conduit is accounted for with a binary mixing equation to proportion these different water sources. The estimation of this proportion through inverse modeling is useful for the assessment of contaminant vulnerability and well-head or spring protection. The model was applied to 7 months of continuous temperature data for a sinking stream that recharges a conduit and a pumped well open to the Madison aquifer in western South Dakota. The simulated conduit-flow fraction to the well ranged from 2% to 31% of total flow, and simulated conduit velocity ranged from 44 to 353 m/d.Published by Elsevier B.V.
IntroductionThe use of heat as a groundwater tracer, in contrast to the use of chemical tracers, is attractive because of the ease of measuring temperature with high precision (errors as low as ±0.03°C). Groundwater temperatures are influenced by the temperature of recharge, mixing of different waters resulting from groundwater flow, and the earth's geothermal gradient. A long history of the use of heat as a groundwater tracer beginning in the 1960s is described by Anderson (2005). A few examples of the numerous heat-transfer applications in hydrology include those by Bredehoeft and Papadopulos (1965), Edinger et al. (1968), Lu and Ge (1996), Bogan et al. (2003), andShoemaker et al. (2005). Groundwater flow and heat-transport computer codes include Voss and Provost (2002) and Healy and Ronan (1996).Temperature fluctuations at the outlets of karst aquifers commonly are observed to range from 0.01 to several degrees Celsius (Benderitter et al., 1993). There are several examples of heat-transfer method development and applications for karst hydrology. Applications to assess cave temperatures and gaining and sinking streams include Genthon et al. Two-or three-dimensional distributed-parameter models are data intensive and are useful when the locations of conduits are known; however, information on conduit locations usually is unavailable. For cases where wells or springs have a temperature response that is influenced by conduit flow, but the conduit network is not well defined, an alternative approach may be useful. This paper presents a one-dimensional numerical heat-transport model that is explored as an alternative that might be useful when a primary objective is to estimate the relative fractions of cond...