Knight, John H.Kluitenberg, Gerard J.Kamai, TamirHopmans, Jan W.2013-07-022013-07-022013-07-02http://hdl.handle.net/2097/15951Citation: Knight, John H., Gerard J. Kluitenberg, Tamir Kamai, and Jan W. Hopmans. “Semianalytical Solution for Dual-Probe Heat-Pulse Applications That Accounts for Probe Radius and Heat Capacity.” Vadose Zone Journal 11, no. 2 (2012): vzj2011.0112. https://doi.org/10.2136/vzj2011.0112.The dual-probe heat-pulse (DPHP) method is useful for measuring soil thermal properties. Measurements are made with a sensor that has two parallel cylindrical probes: one for introducing a pulse of heat into the soil (heater probe) and one for measuring change in temperature (temperature probe). We present a semianalytical solution that accounts for the finite radius and finite heat capacity of the heater and temperature probes. A closed-form expression for the Laplace transform of the solution is obtained by considering the probes to be cylindrical perfect conductors. The Laplace-domain solution is inverted numerically. For the case where both probes have the same radius and heat capacity, we show that their finite properties have equal influence on the heat-pulse signal received by the temperature probe. The finite radius of the probes causes the heat-pulse signal to arrive earlier in time. This time-shift increases in magnitude as probe radius increases. The effect of the finite heat capacity of the probes depends on the ratio of the heat capacity of the probes (C[subscript 0]) and the heat capacity of the soil (C). Compared to the case where C[subscript 0] / C = 1, the magnitude of the heat-pulse signal decreases (i.e., smaller change in temperature) and the maximum temperature rise occurs later when C[subscript 0] / C > 1. When C[subscript 0] / C > 1, the magnitude of the signal increases and the maximum temperature rise occurs earlier. The semianalytical solution is appropriate for use in DPHP applications where the ratio of probe radius (a[subscript 0]) and probe spacing (L) satisfies the condition that a[subscript 0] / L ≤ 0.11.en-USPermission to archive granted by the American Society of Agronomy, May 15, 2013. This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).Dual-probe heat-pulseMeasuring soil thermal propertiesSemianalytical solution for dual-probe heat-pulse applications that accounts for probe radius and heat capacityText