Open AccessProjection of Real Mass Deformation Scenes – Intelligent Support
Author(s) -
W. Piwowarski
Publication year - 2021
Publication title -
geoinformatica polonica
Language(s) - English
Resource type - Journals
eISSN - 2199-5923
pISSN - 1642-2511
DOI - 10.4467/21995923gp.21.010.14981
Subject(s) - computer science , data mining , subspace topology , randomness , projection (relational algebra) , gnss applications , process (computing) , field (mathematics) , hazard , probability density function , representation (politics) , mathematics , algorithm , global positioning system , statistics , artificial intelligence , telecommunications , chemistry , organic chemistry , politics , political science , pure mathematics , law , operating system
The paper analyses the process of post-mining displacements generated by underground mining. Innovative mathematical structures for the modeling of hazard field emission were developed as strong solutions to partial differential equations in R3+1. Moreover, a stochastic equation in L2(Ω) (probabilistic space) was defined and applied as a model that takes into account the randomness of the process. Monitoring of a mining area based on solutions in the GNSS technology and classical geodesy supports the analysis of topological transformations of a given subspace. The data was archived and stored in digital form and then analyzed in many ways. The quality of the representation (measurements and modeling) was estimated with the use of incremental statistics. Thus, obtained distributions of density function are not ranked as normal distribution. The performed analyses make it possible to predict the optimal scenarios for post-mining environmental hazards.