Advanced thermal inertia modelling

Abstract This paper presents a simple and operational thermal inertia model by using the phase angle information of the diurnal temperature change. The model which is developed in this paper is based on our first-order approximation operational thermal inertia model. We use a second-order approximation for the boundary conditions and a second-order approximation for the surface temperature series expression. The importance of this work is that from our model real thermal inertia (as distinct from apparent thermal inertia) can be computed directly. The model requires only one field measurement parameter for the calculation of real thermal inertia; this is the time of maximum temperature in the daytime and this parameter is easily obtained from a meteorological station. For the regions having vegetative cover, the thermal inertia value is the weighted thermal inertia values of vegetated cover and soil ground.

[1]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[2]  J. C. Jaeger.  Conduction of heat in a solid with periodic boundary conditions, with an application to the surface temperature of the moon , 1953, Mathematical Proceedings of the Cambridge Philosophical Society.

[3]  W. Swinbank.  Long‐wave radiation from clear skies , 1963 .

[4]  Kenneth Watson.  Periodic heating of a layer over a semi‐infinite solid , 1973 .

[5]  K. Watson.  Geologic applications of thermal infrared images , 1975, Proceedings of the IEEE.

[6]  A. Goetz,et al.  Thermal inertia imaging: A new geologic mapping tool , 1976 .

[7]  J. C. Price.  Thermal inertia mapping: A new view of the Earth , 1977 .

[8]  Frederick E. Boland,et al.  Analysis of Urban-Rural Canopy Using a Surface Heat Flux/Temperature Model , 1978 .

[9]  Recent advances in the application of thermal infrared scanning to geological and hydrological studies , 1978 .

[10]  Geologic application of thermal inertia imaging using HCMM data. [Death Valley, California , 1978 .

[11]  D. Pratt,et al.  The thermal inertia approach to mapping of soil moisture and geology , 1979 .

[12]  J. C. Price.  The potential of remotely sensed thermal infrared data to infer surface soil moisture and evaporation , 1980 .

[13]  Wilfried Brutsaert,et al.  Evaporation into the atmosphere : theory, history, and applications , 1982 .

[14]  F. Vukovich.  A comparison of surface temperature derived from HCMM infrared measurements with field data , 1984 .

[15]  Thermal inertia of rocks—an HCMM experiment on Sardinia, Italy† , 1984 .

[16]  J. C. Price.  On the analysis of thermal infrared imagery: The limited utility of apparent thermal inertia , 1985 .

[17]  Yong Xue,et al.  Operational bi-angle approach to retrieve the Earth surface albedo from AVHRR data in the visible band , 1995 .