Michał Michalak

Michał Michalak
AGH University of Science and Technology in Kraków | AGH · Department of Geoinformatics and Applied Computer Science

PhD
Geometric analysis of geological surfaces, https://michalmichalak997.github.io

About

22
Publications
5,141
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
22
Citations
Citations since 2016
22 Research Items
22 Citations
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
Introduction
I'm interested in 3D subsurface geological modelling. I'm trying to infer structural style from the orientations sampled throughout geologic interfaces based on triangulation algorithms. I'm also interested in reducing bias in risk indices for infectious diseases as well as ecclesiological dynamics (hard to explain here).
Additional affiliations
May 2021 - present
AGH University of Science and Technology in Kraków
Position
  • PostDoc Position
Education
October 2014 - July 2016
October 2012 - September 2018
University of Silesia in Katowice
Field of study
  • Mathematics
October 2011 - September 2014
University of Silesia in Katowice
Field of study
  • geography

Publications

Publications (22)
Article
Full-text available
The geological potential of sparse subsurface data is not being fully exploited since the available workflows are not specifically designed to detect and interpret 3D geometric anomalies hidden in the data. We develop a new unsu-pervised machine learning framework to cluster and analyze the spatial distribution of orientations sampled throughout a...
Preprint
The geological potential of sparse subsurface data is not being fully exploited since the available workflows are not specifically designed to detect and interpret 3D geometric anomalies hidden in the data. We develop a new unsupervised machine learning framework to cluster and analyze the spatial distribution of orientations sampled throughout a g...
Article
Full-text available
Spatiotemporal modelling of infectious diseases such as coronavirus disease 2019 (COVID-19) involves using a variety of epidemiological metrics such as regional proportion of cases and/or regional positivity rates. Although observing changes of these indices over time is critical to estimate the regional disease burden, the dynamical properties of...
Article
Full-text available
An explanation of the changed Figure 1 in an article on the unknown German pioneers of the impact hypothesis from the 1850s.
Article
The paper presents soil features and chemical composition in a self-heating coal-waste dump. The investigations were carried out in the Upper Silesian Coal Basin. A fire zone in which the soil temperature exceeded 50°C was selected. Soil analyses were carried out for three grain sizes – d > 1 mm, 0.063 mm < d ≤ 1 mm, and d ≤ 0.063 mm – enabling ide...
Article
This study presents experimental results from assessing fault orientation using triangulation and a combinatorial algorithm. We constructed two geological surfaces with vertical and inclined faults. These surfaces were documented by boreholes and represented by triangulated surfaces. We first calculated orientations for a small sample of triangles...
Article
Full-text available
The mid-nineteenth century is not regarded as the time when the theory of extraterrestrial catastrophism developed. However, two German scholars independently introduced original concepts of terrestrial impacts of large celestial bodies at that time. Ludwig Pfeil (1803-1896), a self-educated wealthy landowner, and Karl Reichenbach (1788-1869), an e...
Preprint
Full-text available
Spatiotemporal modelling of infectious diseases such as COVID-19 involves using a variety of epidemiological metrics such as regional proportion of cases or regional positivity rates. Although observing their changes over time is critical to estimate the regional disease burden, the dynamical properties of these measures as well as cross-relationsh...
Preprint
Full-text available
Notice: This is a submitted (not peer-reviewed) version of a manuscript that has been accepted on April 8, 2021, in Computers&Geosciences. Abstract: This study presents experimental results from assessing fault orientation using triangulation and a combinatorial algorithm. We constructed two geological surfaces with vertical and inclined faults. Th...
Conference Paper
Full-text available
Subsurface information is usually a limited resource in geological modelling. This is not the case, however, for the Kraków-Silesian Homocline in central Poland. It was subject to rapid exploitation of ore-bearing clays in the second half of the 20th century. Exhaustive geological documentation remained after this activity had ceased and it contain...
Article
Full-text available
In this work, we combined a three-point problem with Delaunay triangulation to determine the average orientation of a sub-horizontal contact lying within the Kraków-Silesian Homocline, Poland. This contact was assumed to represent the regional trend due to the conformable or sub-conformable relationships between the geological units. The approach p...
Conference Paper
Full-text available
The three-point approach in geology allows the orientation of a plane to be computed on the basis of three non-collinear points. This method is often applied for subsurface planes whose orientation cannot be measured using geological compasses. An extension of this approach involves using computational geometry algorithms for extracting the orienta...
Thesis
Full-text available
In this work we presented the following clustering algorithms: k-means, k-medoids, hierarchical and DBSCAN. We presented theoretical background behind the above approaches as well as practical issues related to performing clustering. Three examples were supplied to illustrate the mechanism of action of selected algorithms and to present differences...
Article
Full-text available
The paper discusses limitations of analytical attainment of the attitude of a geological plane by using three non-collinear points. We present problems that arise during computing the orientation of a plane generated by almost collinear points. We referred these errors to floating-point arithmetic inaccuracies. To demonstrate the problem, we examin...
Chapter
This article discusses the problem of comparing the orientation of geological planes. We suggest two alternative approaches based on an analytical model using the coordinates of three non-collinear points to document a stratigraphic horizon. The methodological portion of this paper addresses selected topological conditions that should be satisfied...
Conference Paper
Full-text available
In this paper, the authors discussed one of the Hume-Rothery conditions for occurring substitutional solid solutions in the context of binary relations. The analyzed condition says that substitutional solid solutions may form if the ionic radius of the solute and solvent ions differ by no more than 15%. Because the problem concerns a mathematical c...
Code
The program calculates the attitude of a geological plane. The code is written using an object-oriented technique of programming. The class ”plane” is a derivative class that derives from a base class ”structure”.

Network

Cited By

Projects

Project (1)
Project
We want to introduce a tool for estimation of angular unconformities.