English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The present paper deals with the numerical simulation of threshold-crossing problem allowing us to assess the probability that a random field of contamination does not exceed a fixed level in a certain two-dimensional (2-D) spatial domain. A real-valued, homogeneous random field described by the mean value and the covariance (differentiable) function is assumed as the basic theoretical model of the contamination field. In the numerical simulation, a suitable discrete model defined on a regular or irregular grid has been developed and tested by the conditional simulation method. The practical example concerns a case study of heavy metals concentration in soil of the northern part of Poland. The results of the study indicate that theoretical modelling of the level crossings in 2-D random fields with the continuous parameter shows a good agreement with the numerical simulations of the fields with the discretised parameter.

Numerical Simulation of Threshold-Crossing Problem for Random Fields of Environmental Contamination