HERMITE NUMERICAL METHOD TO ESTIMATE THE RADON AND RADIUM EFFECTS OF THE SOIL IN BARTELLA REGION

Hekmat SH. Mustafa, Malik H. Kheder, Sarah Ghanim Mahmood

Abstract


The Hermite numerical interpolation method used to estimate and predict the radon and radium concentrations, from some of the experimental measurements made on the soil samples of the Bartella region in Iraq. The results obtained from deductible mathematical method were close to real experimental results. Predicted results are in the range of 80.04–4051.59 Bq/m3radon concentrations and 0.322–17.276 Bq/Kgradium concentrations corresponding to 200-10000 tracks of alpha particles. The maximum errors were less than 0.289 and 1.172 percent for radon and radium concentrations, respectively. The effects of radium and radon radiations estimated of soil in the studied area depend on its concentrations, a higher number of alpha particle tracks mean high radiation concentration, the high radiation will cause human health damage. The values are below 370 Bq/Kg the recommended radium concentration permissible values, by the Organization ащк Economic Cooperation and Development (OECD), the studied area is safe from hazards on health of radium and radon exposure from the soil

Keywords


concentrations of radon; concentrations of radium; Hermite method; soil samples; applied mathematics; numerical interpolation

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References


Logan, J. D. (2013). Applied Mathematics. John Wiley & Sons, 688.

Hameed, R. A., Arif, G. E., Hamdi, A. A. (2017). Estimatig the amount of potassium radiation effect on soil using Neville and Hermite numerical methods. Tikrit Journal of Pure Science, 22 (9), 100–105.

Velten, H., Montiel, A., Carneiro, S. (2013). GRB Hubble diagram and constraints on a Λ(t) CDM model. Monthly Notices of the Royal Astronomical Society, 431 (4), 3301–3306. doi: https://doi.org/10.1093/mnras/stt409

Burden, R. L., Faires, J. D. (2005). Numerical Analysis 8th Edition. Thompson Brooks/Cole.

Richard, L., Burden, J. (2011). Douglas Faires, Numerical Analysis. Brooks/Cole.

Gusev, A., Vinitsky, S., Chuluunbaatar, O., Chuluunbaatar, G., Gerdt, V., Derbov, V. et. al. (2018). Interpolation Hermite Polynomials For Finite Element Method. EPJ Web of Conferences, 173, 03009. doi: https://doi.org/10.1051/epjconf/201817303009

Baker, H. A. A. (2008). Estimation of Surface Dose (Skin Absorbed Dose) for the Patient Undergoing Standards Radiologic Examinations. Journal of Kerbala University, 6 (1), 260–267.

Abdul-Wahid, Sahib Nama, Wissam H Mahdi, Hameed J Hamdan, and Fathel Nama Abdul-Wahid. 2010. “Estimation and Comparison of Diffuse Solar Radiation over Iraq.” Kufa Journal of Engineering 1(2): 153–74.

Mahdi, W. H. (2011). Estimation of the Atmospheric CO2 Concentration in Iraq. Journal of Kufa – Physics, 3 (1), 59–67.

Alkadhimi, A. M. H. (2011). Estimation of Land Soil Erosion Using Neural Network Model. Basrah Journal for Engineering Science, 11 (1), 101–114.

Rogoza, W. (2019). Method for the prediction of time series using small sets of experimental samples. Applied Mathematics and Computation, 355, 108–122. doi: https://doi.org/10.1016/j.amc.2019.02.062

Kadhim, R. M. (2011). Estimation of Entrance Surface Air Kerma (ESAK) and dose area product(DAP) for the patient examined by fluoroscopy apparatus[long term X-ray examination]. Journal of Kerbala University, 9 (1), 189–198.

Al-Kaisi, A. A. R., Ali, H. H. (2013). Mathematical Estimation for the Bearing Capacity of Sand Column Inserted in Soft Clay Soil. Engineering and Technology Journal, 31 (5), 816–827.

Najam, L. A., Majeed, F. A., Kheder, M. H., Younis, S. A. (2017). Estimation the Radiological Hazard Effects for Soil Samples of Nineveh Province. International Journal of Physics, 5 (2), 53–56.

Alsaleem, M. Y. A., Hasoon, S. O. (2020). Comparison of dt& gbdt algorithms for predictive modeling of currency exchange rates. EUREKA: Physics and Engineering, 1, 56–61. doi: https://doi.org/10.21303/2461-4262.2020.001132

Zaker, N. A., Alsaleem, N., Kashmoola, M. A. (2018). Multi-agent Models Solution to Achieve EMC In Wireless Telecommunication Systems. 2018 1st Annual International Conference on Information and Sciences (AiCIS). doi: https://doi.org/10.1109/aicis.2018.00061

Alsaleem, N. Y. A., Moskalets, M., Teplytska, S. (2016). The analysis of methods for determining direction of arrival of signals in problems of space-time access. Eastern-European Journal of Enterprise Technologies, 4 (9 (82)), 36–44. doi: https://doi.org/10.15587/1729-4061.2016.75716

Kheder, M. H. (2019). Measurement of Radon Concentration Using SSNTD in Bartella Region. Al-Mustansiriyah Journal of Science, 29 (4), 110. doi: https://doi.org/10.23851/mjs.v29i4.357

Agency, Nuclear Energy (1979). Exposure to Radiation from the Natural Radioactivity in Building Materials: Report. OECD.




DOI: http://dx.doi.org/10.21303/2461-4262.2020.001173

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ISSN 2461-4262 (Online), ISSN 2461-4254 (Print)