Signed distance function implicit geologic modeling

Rolo, Roberto Mentzingen; Radtke, Ricardo; Costa, João Felipe Coimbra Leite

doi:10.1590/0370-44672016700146

Cited by 9 publications

(6 citation statements)

References 9 publications

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“…The availability of only short and fragmented series of rainfall measurements, combined with the reduced spatial domains covered by each regional agency, had led to a somewhat limited representativeness of the results used to represent the climatology of extreme events in Italy, as shown, e.g., by [14]. Regional frequency analyses and geostatistical analyses applied to regional-level datasets are also known to lead to artefacts along the regional boundaries (i.e., the borders), when measurements in the nearby "regions" are not included [36,37].…”

Section: Discussionmentioning

confidence: 99%

I2-RED: A Massive Update and Quality Control of the Italian Annual Extreme Rainfall Dataset

Mazzoglio

Butera

Claps

2020

Water

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The collection and management of hydrological data in Italy has been dealt with at national level, initially, by the National Hydrological Service (SIMN), and at regional level in the last 40 years. This change has determined problems in the availability of complete and homogeneous data for the whole country. As of 2020, an updated and quality-controlled dataset of the historical annual maxima rainfall in Italy is still lacking. The Italian Rainfall Extreme Dataset (I-RED) has recently been created to allow studies to be performed with a homogeneous dataset at a national level. In this paper, the methodological approach adopted to build an improved and quality-controlled version of I-RED (in terms of both the rainfall depth values and the position of the rain gauges) is presented. The new database can be used as a more reliable research support for the frequency analysis of the rainfall extremes. This new I2-RED database contains rainfall annual maxima rainfall of 1, 3, 6, 12 and 24 h from 1916 until 2019, counts 5265 rain gauges and has been corroborated by a re-positioning and elevation-checking of 15% of the stations. A descriptive analysis of the maximum values of the stations, which provides an additional quality check and reveals different intriguing spatial features of Super-Extreme rainfall events, is also presented.

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Section: Discussionmentioning

confidence: 99%

I2-RED: A Massive Update and Quality Control of the Italian Annual Extreme Rainfall Dataset

Mazzoglio

Butera

Claps

2020

Water

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“…The common method is to regard the mineralization domain where the ore body model is located as a signed implicit function field. The implicit function field represented by Euclidean distance is the classical signed distance field (SDF) 16 , 19 . Among them, the sign of implicit function values represents the internal and external position relationships of the ore body models in the mineralization domain.…”

Section: Overview Of the Methodsmentioning

confidence: 99%

“…The narrow vein type geological body has the characteristics of thin thickness and layered distribution, which can be regarded as a thin stratified model composed of hanging wall and foot wall surfaces, and its corresponding geological sampling data has obvious sparse and uneven characteristics. As the vein type ore bodies are complex and narrow in one dimension, it is difficult and time consuming to interpolate valid and faithful models by constructing manual interpolation constraints using the traditional interpolation methods 12 – 16 . Actually, in some cases, the 2.5D vein modeling is analogous to the coal seam modeling 17 .…”

Section: Introductionmentioning

confidence: 99%

Implicit modeling of narrow vein type ore bodies based on Boolean combination constraints

Zhong

Zhang

Wang

et al. 2022

Sci Rep

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In this paper, we implement an automatic modeling method for narrow vein type ore bodies based on Boolean combination constraints. Different from the direct interpolation approach, we construct the implicit functions of the hanging wall and foot wall surfaces, respectively. And then the combined implicit function is formed to represent the complete ore body model using the Boolean combination constraints. Finally, the complete ore body is obtained by Boolean operation of the hanging wall and foot wall surfaces. To model complex vein surfaces, some modeling rules are developed to allow the geological engineers to specify vein thickness constraints and vein boundary constraints. The method works for narrow vein type ore bodies (e.g., vein gold deposits and mineral sand deposits) which are large in two dimensions and narrow in the third. Taking the implicit function of radial basis functions interpolation as an example, several experiments are carried out by using the real geological sampling data of the mines. The experimental results show that the method is suitable for the modeling of narrow vein type ore bodies.

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“…The unknown coefficients can be obtained by solving a linear system Ãx = f . The common approach of implicit modeling is to convert the drillhole data into the above domain constraints based on a signed distance method [22], as shown in Figure 1. Firstly, the sample segments and non-sample segments of the drillhole data are sampled by a certain sampling interval.…”

Section: Implicit Modelingmentioning

confidence: 99%

Solution Optimization of RBF Interpolation for Implicit Modeling of Orebody

Zhong

Wang

2020

IEEE Access

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To interpolate large drillhole data sets efficiently in implicit modeling of orebody, we optimize the solution of the RBF equation based on the two-level domain decomposition method. The solution performance is improved by balancing the two goals of the convergence rate and the iteration efficiency. The solution method converts the large domain into small subdomains which can be solved directly. The optimum division of subdomains can improve both the convergence of iteration and the efficiency of a single iteration, whereas the subdivision of a trivial subdomain leads the iteration failed to converge. For the efficiency of a single iteration, the kernel independent fast multipole method is used to calculate the matrix-vector product efficiently. Moreover, the initial solution of iteration and center reduction strategy are optimized for the dynamic updating of implicit surface. Combined with the preconditioned Krylov subspace method, the optimized solution method was implemented. The experimental results of several drillhole data sets show that the optimized solution method converges rapidly within a small number of iterations.

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Signed distance function implicit geologic modeling

Cited by 9 publications

References 9 publications

I2-RED: A Massive Update and Quality Control of the Italian Annual Extreme Rainfall Dataset

I2-RED: A Massive Update and Quality Control of the Italian Annual Extreme Rainfall Dataset

Implicit modeling of narrow vein type ore bodies based on Boolean combination constraints

Solution Optimization of RBF Interpolation for Implicit Modeling of Orebody

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