2014/11/19 by Kevin Jourde, K. Jourde, Dominique Gibert +2 · 13 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Artificial intelligence #Astrophysics #Astrophysics and Cosmic Phenomena #COSMIC cancer database #Computational physics #Computer science #Conical surface #Geodesy #Geology #Geometry #Geophysical and Geoelectrical Methods #Geophysics #Gravimetry #Image resolution #Interferometry #Mathematics #Muon #Nuclear physics #Optics #Particle physics theoretical and experimental studies #Physics #Resolution (logic) #Tomography #hep-ph #physics.geo-ph
paper · pdf · open access · doi:10.5194/gid-5-83-2015
published as Geosci. Instrum. Method. Data Syst. Discuss., 5, 83-116, 2015 · Submitted to Geoscientific Model Development
arxiv created 2014/11/19 · openalex publication_date 2015/04/02 · arxiv updated 2015/04/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract. This paper examines how the resolution of small-scale geological density models is improved through the fusion of information provided by gravity measurements and density muon radiographies. Muon radiography aims at determining the density of geological bodies by measuring their screening effect on the natural flux of cosmic muons. Muon radiography essentially works like medical X-ray scan and integrates density information along elongated narrow conical volumes. Gravity measurements are linked to density by a 3-D integration encompassing the whole studied domain. We establish the mathematical expressions of these integration formulas – called acquisition kernels – and derive the resolving kernels that are spatial filters relating the true unknown density structure to the density distribution actually recovered from the available data. The resolving kernels approach allows to quantitatively describe the improvement of the resolution of the density models achieved by merging gravity data and muon radiographies. The method developed in this paper may be used to optimally design the geometry of the field measurements to perform in order to obtain a given spatial resolution pattern of the density model to construct. The resolving kernels derived in the joined muon/gravimetry case indicate that gravity data are almost useless to constrain the density structure in regions sampled by more than two muon tomography acquisitions. Interestingly the resolution in deeper regions not sampled by muon tomography is significantly improved by joining the two techniques. The method is illustrated with examples for La Soufrière of Guadeloupe volcano.