Invariants of the Jacobi-Porstendorfer room model for radon progeny in indoor air.
The Jacobi-Porstendörfer room model, describing the dynamical behaviour of radon and radon progeny in indoor air, has been successfully used for decades. The inversion of the model-the determination of the five parameters from measured results which provide better information on the room environment than mere ratios of unattached and attached radon progeny-is treated as an algebraic task. The linear interdependence of the used equations strongly limits the algebraic invertibility of experimental results. For a unique solution, the fulfilment of two invariants of the room model for the measured results is required. Non-fulfilment of these model invariants by the measured results leads to a set of non-identical solutions and indicates the violation of the conditions required by the room model or the incorrectness or excessive uncertainties of the measured results. The limited and non-unique algebraic invertibility of the room model is analysed numerically using our own data for the radon progeny.
National Radiation Protection Institute, Bartoskova 28, Praha 4 140 00, Czech Republic. josef.thomas@suro.cz
Josef
J
Thomas
Karel
K
Jilek
D000388:Air; D000396:Air Pollutants, Radioactive / Q000032:analysis*; D016902:Air Pollution, Indoor / Q000032:analysis*; D008962:Models, Theoretical; D017687:Radon Daughters / Q000032:analysis*
D000396:Air Pollutants, Radioactive; D017687:Radon Daughters