A simple method for the estimation of thermal inertia

A simple method for estimating thermal inertia using daily amplitude of surface soil heat flux and temperature is proposed. Based on an analytical solution of the diffusion equation where the soil temperature is idealized as a sinusoidal function, the thermal inertia is expressed as a proportional coefficient in a linear equation relating the amplitudes of surface soil (ground) heat flux and temperature. Tests of the proposed method demonstrate that this simple method is potentially useful in the Earth and extra‐terrestrial remote sensing.

[1]  K. B. Oldham,et al.  The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[2]  Terry Z. Martin,et al.  Thermal and albedo mapping of Mars during the Viking primary mission , 1977 .

[3]  F. Palluconi,et al.  Thermal inertia mapping of Mars from 60°S to 60°N , 1981 .

[4]  T. Carlson,et al.  Satellite Estimation of the Surface Energy Balance, Moisture Availability and Thermal Inertia. , 1981 .

[5]  J. Appelbaum,et al.  Solar radiation on Mars: Update 1990 , 1990 .

[6]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[7]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[8]  R. Arritt,et al.  On the Potential Impact of Daytime Surface Sensible Heat Flux on the Dissipation of Martian Cold Air Outbreaks , 1997 .

[9]  I. Podlubny Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[10]  Jingfeng Wang,et al.  Ground heat flux estimated from surface soil temperature , 1999 .

[11]  M. Mellon,et al.  The thermal inertia of Mars from the Mars Global Surveyor Thermal Emission Spectrometer , 2000 .

[12]  M. Mellon,et al.  High-Resolution Thermal Inertia Mapping from the Mars Global Surveyor Thermal Emission Spectrometer , 2000 .

[13]  Raymond E. Arvidson,et al.  Global thermal inertia and surface properties of Mars from the MGS mapping mission , 2005 .

[14]  W. B. Bennett,et al.  Estimation of Global Ground Heat Flux , 2007 .

[15]  M. Mellon,et al.  Apparent thermal inertia and the surface heterogeneity of Mars , 2007 .

[16]  Kenneth G. Renard,et al.  A brief background on the U.S. Department of Agriculture Agricultural Research Service Walnut Gulch Experimental Watershed , 2008 .