{"title":"A unified analytical formula for indoor gamma dose assessment based on surface-density scaling","authors":"F. Gharbi","doi":"10.1016/j.jenvrad.2026.108117","DOIUrl":null,"url":null,"abstract":"<div><div>Accurate estimation of indoor gamma dose rates from natural radionuclides in building materials is essential for radiation protection. In this work, a unified analytical formula is developed based on a scaling law involving the surface density <span><math><mrow><mi>ρ</mi><mi>d</mi></mrow></math></span>, defined as the product of the density and thickness of the structural building materials (walls, floor, and ceiling). The results show that the proposed formula reproduces independent Geant4 simulation data, not used in its derivation, with high accuracy across low, intermediate, and high attenuation regimes. In comparison, existing formulas exhibit noticeable differences, particularly at low surface densities.</div><div>The proposed approach provides a simple, robust, and accurate analytical representation of Geant4 results, offering a practical alternative to computationally intensive Monte Carlo simulations by reproducing their results with high fidelity through a compact analytical expression.</div></div>","PeriodicalId":15667,"journal":{"name":"Journal of environmental radioactivity","volume":"298 ","pages":"Article 108117"},"PeriodicalIF":2.2000,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of environmental radioactivity","FirstCategoryId":"93","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0265931X26002328","RegionNum":3,"RegionCategory":"环境科学与生态学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/7/24 0:00:00","PubModel":"Epub","JCR":"Q3","JCRName":"ENVIRONMENTAL SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
Accurate estimation of indoor gamma dose rates from natural radionuclides in building materials is essential for radiation protection. In this work, a unified analytical formula is developed based on a scaling law involving the surface density , defined as the product of the density and thickness of the structural building materials (walls, floor, and ceiling). The results show that the proposed formula reproduces independent Geant4 simulation data, not used in its derivation, with high accuracy across low, intermediate, and high attenuation regimes. In comparison, existing formulas exhibit noticeable differences, particularly at low surface densities.
The proposed approach provides a simple, robust, and accurate analytical representation of Geant4 results, offering a practical alternative to computationally intensive Monte Carlo simulations by reproducing their results with high fidelity through a compact analytical expression.
期刊介绍:
The Journal of Environmental Radioactivity provides a coherent international forum for publication of original research or review papers on any aspect of the occurrence of radioactivity in natural systems.
Relevant subject areas range from applications of environmental radionuclides as mechanistic or timescale tracers of natural processes to assessments of the radioecological or radiological effects of ambient radioactivity. Papers deal with naturally occurring nuclides or with those created and released by man through nuclear weapons manufacture and testing, energy production, fuel-cycle technology, etc. Reports on radioactivity in the oceans, sediments, rivers, lakes, groundwaters, soils, atmosphere and all divisions of the biosphere are welcomed, but these should not simply be of a monitoring nature unless the data are particularly innovative.