001436646 000__ 04244cam\a2200541\a\4500 001436646 001__ 1436646 001436646 003__ OCoLC 001436646 005__ 20230309004106.0 001436646 006__ m\\\\\o\\d\\\\\\\\ 001436646 007__ cr\un\nnnunnun 001436646 008__ 210518s2021\\\\sz\\\\\\ob\\\\001\0\eng\d 001436646 019__ $$a1252427069$$a1295312020 001436646 020__ $$a9783030699093$$q(electronic bk.) 001436646 020__ $$a3030699099$$q(electronic bk.) 001436646 020__ $$z3030699080 001436646 020__ $$z9783030699086 001436646 0247_ $$a10.1007/978-3-030-69909-3$$2doi 001436646 035__ $$aSP(OCoLC)1251509974 001436646 040__ $$aYDX$$beng$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dSFB$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ 001436646 049__ $$aISEA 001436646 050_4 $$aQB334 001436646 08204 $$a526/.7$$223 001436646 1001_ $$aFreeden, W.$$q(Willi) 001436646 24510 $$aDecorrelative mollifier gravimetry :$$bbasics, ideas, concepts, and examples /$$cWilli Freeden. 001436646 260__ $$aCham :$$bBirkhäuser,$$c2021. 001436646 300__ $$a1 online resource 001436646 336__ $$atext$$btxt$$2rdacontent 001436646 337__ $$acomputer$$bc$$2rdamedia 001436646 338__ $$aonline resource$$bcr$$2rdacarrier 001436646 4901_ $$aGeosystems Mathematics,$$x2510-1544 001436646 504__ $$aIncludes bibliographical references and index. 001436646 5050_ $$aIntroductory Remarks -- Part I: Gravitation and Gravimetry -- Gravitation -- Gravimetry -- Part II: Potential Theory -- Classical Context -- Newton-Haar Mollifier Theory and Application -- Disturbing Potential -- Part III: Surface Decorrelation -- Space versus Frequency Surface Modeling -- Surface Applications -- Part IV: Inverse Potential Theory -- Gravimetry as an Ill-Posed Inverse Problem -- Part V: Volume Decorrelation -- Volume Methodology -- Volume Applications -- Part VI: Decorrelative Potential Methods -- Decorrelative Monopole Potential Based Gravimetry -- Decorrelative Dipole Potential Based Magnetometry -- Decorrelative Acoustic Potential Based Exploration -- Decorrelative Elastic Potential Based Exploration -- Concluding Remarks. 001436646 506__ $$aAccess limited to authorized users. 001436646 520__ $$aThis monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth. First, an insight into the current state of research is given by reducing gravimetry to mathematically accessible, and thus calculable, decorrelated models. In this way, the various unresolved questions and problems of gravimetry are made available to a broad scientific audience and the exploration industry. New theoretical developments will be given, and innovative ways of modeling geologic layers and faults by mollifier regularization techniques are shown. This book is dedicated to surface as well as volume geology with potential data primarily of terrestrial origin. For deep geology, the geomathematical decorrelation methods are to be designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Bridging several different geo-disciplines, this book leads in a cycle from the potential measurements made by geoengineers, to the cleansing of data by geophysicists and geoengineers, to the subsequent theory and model formation, computer-based implementation, and numerical calculation and simulations made by geomathematicians, to interpretation by geologists, and, if necessary, back. It therefore spans the spectrum from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back. Using the German Saarland area for methodological tests, important new fields of application are opened, particularly for regions with mining-related cavities or dense development in today's geo-exploration. 001436646 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed May 24, 2021). 001436646 650_0 $$aGravity$$xMeasurement. 001436646 650_0 $$aGeology$$xMathematics. 001436646 650_6 $$aGravimétrie. 001436646 650_6 $$aGéologie$$xMathématiques. 001436646 655_0 $$aElectronic books. 001436646 77608 $$iPrint version: $$z3030699080$$z9783030699086$$w(OCoLC)1232273158 001436646 830_0 $$aGeosystems mathematics,$$x2510-1544 001436646 852__ $$bebk 001436646 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-69909-3$$zOnline Access$$91397441.1 001436646 909CO $$ooai:library.usi.edu:1436646$$pGLOBAL_SET 001436646 980__ $$aBIB 001436646 980__ $$aEBOOK 001436646 982__ $$aEbook 001436646 983__ $$aOnline 001436646 994__ $$a92$$bISE