000193240 001__ 193240
000193240 003__ CZ-ZdVUG
000193240 005__ 20190520100638.0
000193240 041__ $$aeng
000193240 040__ $$aABC039$$bcze
000193240 1001_ $$aNesvadba, Otakar
000193240 24510 $$aOn the downward continuation stability in dependence of the topography roughness
000193240 500__ $$aRIV: RIV/00025615:_____/16:N0000052
000193240 5203_ $$9eng$$aThe paper describes a procedure for the local/regional quasigeoid modelling based on terrestrial gravity data. The methodology discussed concerns the solution of the gravimetric boundary value problem. We consider its particular formulation for an ellipsoidal domain (the exterior to an oblate spheroid), i.e. gravity disturbances are assumed on an ellipsoidal surface. The difference between the Earth's topography and an ellipsoidal surface is often solved by a downward (analytical) continuation method of gravity disturbances. Nevertheless, the continuation method seems to be difficult to converge, especially in rough mountainous terrains. Our approach, therefore, combines the continuation of the data related to a smoother reference boundary with the direct gravity reduction (i.e. remove-compute-restore technique) of the masses between the true topography surface and the reference boundary. We study the sequences of analytical continuation steps in dependence of model topography roughness. The aim is to determine an optimal reference topography which enables to estimate the limit of the sequence and, on the other hand, is sufficiently close to the true Earth’s surface in order to decrease modelling uncertainty sourced in unknown rock mass densities. The performance of the analytical continuation for different topographies is illustrated on the real-case examples related to the territory of France (Auvergne regional quasigeoid).
000193240 655_4 $$aanotace
000193240 653_0 $$aanalytical continuation$$aquasigeoid;Green’s function$$agravity field
000193240 7001_ $$aHolota, Petr
000193240 85642 $$uhttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F16%3AN0000052%21RIV17-GA0-00025615
000193240 910__ $$aABC039
000193240 980__ $$aclanky_vugtk
000193240 985__ $$aholota
000193240 985__ $$aanotace
000193240 985__ $$anesvadba
000193240 985__ $$aO
000193240 985__ $$autvar24
000193240 999C1 $$9CURATOR$$aGA14-34595S - Matematické metody pro studium tíhového pole Země (2014 - 2016)$$bGA ČR
000193240 999C1 $$9CURATOR$$aLO1506 - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost (2015 - 2020)