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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Main Authors: Jesús Díaz-Curiel, Bárbara Biosca, Lucía Arévalo-Lomas, David Paredes-Palacios, María Jesús Miguel
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/18/10321
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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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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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AT barbarabiosca newempiricallawsingeosciencesasuccessfulproposal
AT luciaarevalolomas newempiricallawsingeosciencesasuccessfulproposal
AT davidparedespalacios newempiricallawsingeosciencesasuccessfulproposal
AT mariajesusmiguel newempiricallawsingeosciencesasuccessfulproposal