New Empirical Laws in Geosciences: A Successful Proposal
The importance of empirical versus theoretical laws is a controversial issue in many scientific fields, the latter being generally accepted and the relevance of which is not discussed here. As in other areas, there are well-known theoretical and empirical formulas in geosciences that do not adequate...
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MDPI AG
2023-09-01
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author | Jesús Díaz-Curiel Bárbara Biosca Lucía Arévalo-Lomas David Paredes-Palacios María Jesús Miguel |
author_facet | Jesús Díaz-Curiel Bárbara Biosca Lucía Arévalo-Lomas David Paredes-Palacios María Jesús Miguel |
author_sort | Jesús Díaz-Curiel |
collection | DOAJ |
description | The importance of empirical versus theoretical laws is a controversial issue in many scientific fields, the latter being generally accepted and the relevance of which is not discussed here. As in other areas, there are well-known theoretical and empirical formulas in geosciences that do not adequately represent the reality of a given phenomenon. Quantitative comparison of geophysical and petrophysical results with data from the other multiple fields that comprise the geosciences compels a high exigency to avoid discontinuities in existing relationships. However, the proposal of new empirical laws that more accurately reflect a given phenomenon is often considered insufficient to contradict existing formulas. The aim of this work is to defend the development of new empirical laws by showing that they constitute a true model of analysed behaviour if certain criteria are followed. This defence is especially needed when non-linearisable functions are required to fit the empirical data. To achieve this aim, this study shows the established algebraic function as a function of a single variable, whose main advantage is its application to phenomena of a geological nature that show two differentiated behaviours as the variable x is increased. A series of five examples of different phenomena related to geosciences is selected to demonstrate the level of accuracy that new empirical laws can reach in contrast to the widely accepted historical relationships. |
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format | Article |
id | doaj.art-994b6afb23ba48bb8fefb4dc9488486b |
institution | Directory Open Access Journal |
issn | 2076-3417 |
language | English |
last_indexed | 2024-03-10T23:04:30Z |
publishDate | 2023-09-01 |
publisher | MDPI AG |
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series | Applied Sciences |
spelling | doaj.art-994b6afb23ba48bb8fefb4dc9488486b2023-11-19T09:26:07ZengMDPI AGApplied Sciences2076-34172023-09-0113181032110.3390/app131810321New Empirical Laws in Geosciences: A Successful ProposalJesús Díaz-Curiel0Bárbara Biosca1Lucía Arévalo-Lomas2David Paredes-Palacios3María Jesús Miguel4Department of Energy and Fuels, School of Mines and Energy, Universidad Politécnica de Madrid, C/Ríos Rosas 21, 28003 Madrid, SpainDepartment of Energy and Fuels, School of Mines and Energy, Universidad Politécnica de Madrid, C/Ríos Rosas 21, 28003 Madrid, SpainDepartment of Energy and Fuels, School of Mines and Energy, Universidad Politécnica de Madrid, C/Ríos Rosas 21, 28003 Madrid, SpainDepartment of Geological and Mining Engineering, School of Mines and Energy, Universidad Politécnica de Madrid, C/Ríos Rosas 21, 28003 Madrid, SpainSpanish Ministry of Science and Innovation, Paseo de la Castellana 162, 28046 Madrid, SpainThe importance of empirical versus theoretical laws is a controversial issue in many scientific fields, the latter being generally accepted and the relevance of which is not discussed here. As in other areas, there are well-known theoretical and empirical formulas in geosciences that do not adequately represent the reality of a given phenomenon. Quantitative comparison of geophysical and petrophysical results with data from the other multiple fields that comprise the geosciences compels a high exigency to avoid discontinuities in existing relationships. However, the proposal of new empirical laws that more accurately reflect a given phenomenon is often considered insufficient to contradict existing formulas. The aim of this work is to defend the development of new empirical laws by showing that they constitute a true model of analysed behaviour if certain criteria are followed. This defence is especially needed when non-linearisable functions are required to fit the empirical data. To achieve this aim, this study shows the established algebraic function as a function of a single variable, whose main advantage is its application to phenomena of a geological nature that show two differentiated behaviours as the variable x is increased. A series of five examples of different phenomena related to geosciences is selected to demonstrate the level of accuracy that new empirical laws can reach in contrast to the widely accepted historical relationships.https://www.mdpi.com/2076-3417/13/18/10321empirical lawsgeosciencesfunction of double asymptotenature double behaviour |
spellingShingle | Jesús Díaz-Curiel Bárbara Biosca Lucía Arévalo-Lomas David Paredes-Palacios María Jesús Miguel New Empirical Laws in Geosciences: A Successful Proposal Applied Sciences empirical laws geosciences function of double asymptote nature double behaviour |
title | New Empirical Laws in Geosciences: A Successful Proposal |
title_full | New Empirical Laws in Geosciences: A Successful Proposal |
title_fullStr | New Empirical Laws in Geosciences: A Successful Proposal |
title_full_unstemmed | New Empirical Laws in Geosciences: A Successful Proposal |
title_short | New Empirical Laws in Geosciences: A Successful Proposal |
title_sort | new empirical laws in geosciences a successful proposal |
topic | empirical laws geosciences function of double asymptote nature double behaviour |
url | https://www.mdpi.com/2076-3417/13/18/10321 |
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