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<p>Soil contamination by heavy metals is a global problem, with chromium pollution posing a particularly prominent threat. This poses significant hazards to human survival. The purpose of this paper is to summarize the mathematical patterns of soil contamination by heavy metal chromium, digitizing chromium’s impact on soil to facilitate future scientific research and applications. This paper presents the variation of the complex permittivity of chromium-contaminated soil with varying electromagnetic wave frequencies, based on actual measurements of soil moisture contents of 8%, 15%, and 25%. Based on this variation pattern, the real and imaginary parts of the complex permittivity of chromium-contaminated soil under the condition of 10–200&#xa0;MHz are established, and fitted with 8th-order interpolation formulas, respectively. The simulation results address the digitization and formulaization issues of the complex permittivity of chromium contamination in practical applications. Additionally, using these fitted 8th-order interpolation formulas, this paper demonstrates the derivation and numerical calculation of the complex permittivity of chromium-contaminated soil under other moisture conditions. These conclusions provide a theoretical foundation and examples for further research on the electrochemical patterns of chromium-contaminated soil and the treatment of soil pollutants in the future.</p>

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Research on the variation of complex dielectric constant of chromium contaminated soil

  • 期刊论文

  • 发表日期：

    2026年5月27日

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  • Y. Zhang,
  • D. Ge,
  • Y. J. Liu,
  • J. J. Hao,
  • H. W. Yang

摘要

Soil contamination by heavy metals is a global problem, with chromium pollution posing a particularly prominent threat. This poses significant hazards to human survival. The purpose of this paper is to summarize the mathematical patterns of soil contamination by heavy metal chromium, digitizing chromium’s impact on soil to facilitate future scientific research and applications. This paper presents the variation of the complex permittivity of chromium-contaminated soil with varying electromagnetic wave frequencies, based on actual measurements of soil moisture contents of 8%, 15%, and 25%. Based on this variation pattern, the real and imaginary parts of the complex permittivity of chromium-contaminated soil under the condition of 10–200 MHz are established, and fitted with 8th-order interpolation formulas, respectively. The simulation results address the digitization and formulaization issues of the complex permittivity of chromium contamination in practical applications. Additionally, using these fitted 8th-order interpolation formulas, this paper demonstrates the derivation and numerical calculation of the complex permittivity of chromium-contaminated soil under other moisture conditions. These conclusions provide a theoretical foundation and examples for further research on the electrochemical patterns of chromium-contaminated soil and the treatment of soil pollutants in the future.