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In two-dimensional incompressible fluid flow, the continuity equation is essential for ensuring mass conservation, meaning that any change in fluid entering or exiting a region is balanced by a corresponding change elsewhere. For incompressible flow, where density remains constant, this requirement simplifies to the condition that the divergence of the velocity field must be zero. Mathematically, this is expressed as,
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Related Experiment Video

Updated: Feb 10, 2026

Ecotoxicological Method with Marine Bacteria Vibrio anguillarum to Evaluate the Acute Toxicity of Environmental Contaminants
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Spatial environmental risk evaluation of potential toxic elements in stream sediments.

I M H R Antunes1, M T D Albuquerque2, N Roque3

  • 1ICT/University of Minho, CERENA/University of Lisbon, Campus de Gualtar, Braga, Portugal. imantunes@dct.uminho.pt.

Environmental Geochemistry and Health
|May 20, 2018
PubMed
Summary

Potential toxic elements (PTE) in stream sediments indicate moderate to very high contamination in Monfortinho, Portugal. Spatial analysis identified high contamination clusters linked to old mineralizations, guiding monitoring and mitigation efforts.

Keywords:
Contamination degreeContamination factorG clusteringOrdinary krigingPrincipal components analysisStream sediments

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Area of Science:

  • Environmental Science
  • Geochemistry
  • Spatial Analysis

Background:

  • Stream sediments serve as crucial archives for environmental contamination.
  • Understanding the spatial distribution of potential toxic elements (PTE) is vital for environmental risk assessment.
  • The Monfortinho area in Central Portugal presents a case study for assessing sediment contamination.

Purpose of the Study:

  • To identify and map spatial clusters of potential toxic elements (PTE) in stream sediments.
  • To evaluate the contamination levels and their association with geological and historical mining activities.
  • To provide a basis for targeted monitoring and mitigation strategies.

Main Methods:

  • Collection and analysis of 271 stream sediment samples.
  • Application of multivariate statistical techniques, including Principal Component Analysis (PCA).
  • Geostatistical methods such as ordinary kriging and G clustering for spatial modeling and cluster definition.

Main Results:

  • Moderate contamination observed for most PTEs, with very high levels for Barium (Ba), Chromium (Cr), and Boron (B).
  • High contamination clusters identified for Iron (Fe), Nickel (Ni), Ba, Copper (Cu), B, Zinc (Zn), Vanadium (V), and Cr.
  • Contamination degree is linked to historical mineralizations (Ba-Zn, gold, cassiterite) and geological formations (schists).

Conclusions:

  • Stream sediment contamination in the Monfortinho area is significant and spatially heterogeneous.
  • PTE enrichment is strongly associated with past mining and mineralization activities.
  • The developed spatial models and identified clusters are essential for effective environmental management and remediation planning.