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Modeling and Inversion in Thermal Infrared Remote Sensing over ...

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10 <strong>Model<strong>in</strong>g</strong> <strong>and</strong> <strong>Inversion</strong> <strong>in</strong> <strong>Thermal</strong> <strong>Infrared</strong> <strong>Remote</strong> Sens<strong>in</strong>g 25110.4.1 Fundamentals <strong>in</strong> TIR <strong>Remote</strong> Sens<strong>in</strong>gird-00392669, version 1 - 9 Jun 2009The use of TIR remote sens<strong>in</strong>g to <strong>in</strong>fer the temperatures of <strong>in</strong>terest <strong>in</strong>volves anaerodynamic issue for the related temperature, <strong>and</strong> a radiative issue for the othertemperatures.10.4.1.1 Aerodynamic IssueAerodynamic temperature T aero is not radiative based <strong>and</strong> cannot be remotelysensed. It is required for one source model<strong>in</strong>g of surface energy fluxes, s<strong>in</strong>ce itcorresponds to the value of the logarithmic based air temperature profile T air (z) atthermal roughness length z oh [110]. For a negligible displacement height, sensibleheat flux H is expressed from the air temperature gradient between z oh <strong>and</strong> referencelevel z re f :H = T air(z oh ) − T air (z re f )r ah (z oh ,z re f )with T aero = T air (z oh ) (10.1)where r ah (z oh ,z re f ) is aerodynamic resistance for heat between z oh <strong>and</strong> z re f [111].Due to larger resistance for heat transfers, z oh is lower than mechanical roughnesslength z om [112]. The l<strong>in</strong>k between both is the aerodynamic kB −1 parameter [113]:( )kB −1 zom= ln(10.2)z ohThe physical mean<strong>in</strong>gs of T aero <strong>and</strong> z oh are equivocal. T aero is an effective temperaturefor heat sources that are soil <strong>and</strong> vegetation [114]. z oh is an effective level forwhich T air = T aero . Their retrieval from remote sens<strong>in</strong>g is not trivial (Section 10.6.3).Nevertheless, T aero can be unequivocally derived from soil <strong>and</strong> vegetation temperaturesT soil <strong>and</strong> T veg , by merg<strong>in</strong>g one source <strong>and</strong> two source model<strong>in</strong>g [20, 115]:T aero =T soilr+ T vega,soil r a,veg+ T air(z re f )r ah1r+ 1a,soil r a,veg+ 1r ah(10.3)where r a,soil (respectively r a,veg ) is aerodynamic resistance from the soil (respectivelyvegetation) to z om , <strong>and</strong> r ah is aerodynamic resistance from z om to z re f [111].10.4.1.2 Radiative IssueApart from aerodynamic temperature, the l<strong>and</strong> surface temperatures <strong>in</strong>ferred fromTIR remote sens<strong>in</strong>g are radiative based. Then, fundamentals deal with the TIRradiative regime with<strong>in</strong> atmosphere <strong>and</strong> <strong>over</strong> l<strong>and</strong> surfaces. This <strong>in</strong>cludes threemechanisms which drive the wave matter <strong>in</strong>teractions: emission, absorption, <strong>and</strong>Uncorrected Proof

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