Average Graph of Land Surface Curvatures Induced Mining Operation Determined by Use of Fourth Order Polynomial

Research output: Contribution to book/conference proceedings/anthology/reportConference contributionContributed

Contributors

Abstract

In the article the obtainment method of average graph of curvatures, observed on terrain surface as a result of underground mining exploitation of hard coal seam, has been presented. Approximation of curvatures measured graph by use of fourth order polynomial divided into a few parts and the least squares method has been done. Average graph of measured subsidence as a first one has been determined. Then average graph of observed curvatures as a second derivative of subsidence approximated values has been obtained. Statistics indicate that proposed method of obtaimnent of average graph of observed curvatures can be alternative for smoothed splines and gives much better results than they. Fourth order of polynomial is enough for determination of average graph of observed curvatures on condition division it into parts.

Details

Original languageEnglish
Title of host publicationINTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019
EditorsT Simos, C Tsitouras
PublisherAMER INST PHYSICS
Number of pages4
Publication statusPublished - 2020
Peer-reviewedNo

Conference

TitleInternational Conference on Numerical Analysis and Applied Mathematics (ICNAAM)
Duration23 - 28 September 2019
CityRhodes
CountryGreece

External IDs

Scopus 85098004151
ORCID /0000-0002-2458-1597/work/142239689