Modelling the Gravitational Effects of Random Underground Density Variations
| Autor: | Kevin D. Ridley |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Gravity (chemistry)
Hydrogeology 010504 meteorology & atmospheric sciences Scale (ratio) Stochastic process Gaussian Mechanics 010502 geochemistry & geophysics 01 natural sciences Gravitation symbols.namesake Mathematics (miscellaneous) Fractal symbols General Earth and Planetary Sciences Spatial analysis Geology 0105 earth and related environmental sciences |
| Zdroj: | Mathematical Geosciences. 52:759-781 |
| ISSN: | 1874-8953 1874-8961 |
| Popis: | A mathematical model for small-scale spatial variations in gravity above the Earth’s surface is presented. Gravity variations are treated as a Gaussian random process arising from underground density variations which are assumed to be a Gaussian random process. Expressions for two-point spatial statistics are calculated for both the vertical component of gravity and the vertical gradient of the vertical component. Results are given for two models of density variations: a delta-correlated model and a fractal model. The effect of an outer scale in the fractal model is investigated. It is shown how the results can be used to numerically generate realisations of gravity variations with fractal properties. Such numerical modelling could be useful for investigating the feasibility of using gravity surveys to locate and characterise underground structures; this is explored through the simple example of a tunnel detection scenario. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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