Experimental determination of the diffusion coefficient in two-dimensions in ferrous sulphate gels using the finite element method

被引：99

作者：

Baldock C. ^{[1
]}

Harris P.J. ^{[2
]}

Piercy A.R. ^{[3
]}

Healy B. ^{[4
]}

机构：

[1] Ctr. for Medical and Health Physics, Queensland University of Technology, Brisbane

[2] School of Computing and Mathematical Sciences, University of Brighton

[3] School of Engineering, University of Brighton

[4] Queensland Radium Institute, Mater Hospital, Brisbane

来源：

Australasian Physics & Engineering Sciences in Medicine | 2001年 / 24卷 / 1期

关键词：

Diffusion Coefficient; Finite Element Method; Finite Difference Method; Glass Beaker; Drift Parameter;

D O I：

10.1007/BF03178282

中图分类号：

学科分类号：

摘要：

A novel two-dimensional finite element method for modelling the diffusion which occurs in Fricke or ferrous sulphate type radiation dosimetry gels is presented. In most of the previous work, the diffusion coefficient has been estimated using simple one-dimensional models. This work presents a two-dimensional model which enables the diffusion coefficient to be determined in a much wider range of experimental situations. The model includes the provision for the determination of a drift parameter. To demonstrate the technique comparative diffusion measurements between ferrous sulphate radiation dosimetry gels, with and without xylenol orange chelating agent and carbohydrate additives have been undertaken. Diffusion coefficients of 9.7±0.4, 13.3±0.6 and 9.5±0.8 10-3 cm2h-1 were determined for ferrous sulphate radiation dosimetry gels with and without xylenol orange and with xylenol orange and sucrose additives respectively.

引用

页码：19 / 30

页数：11

共 32 条

[1]

Day M.J., Stein G., Chemical effects of ionizing radiation in some gels, Nature, 166, pp. 146-147, (1950)

[2]

Andrews H.L., Murphy R.E., LeBrun E.J., Gel dosimeter for depth dose measurements, The Review of Scientific Instruments, 28, pp. 329-332, (1957)

[3]

Gore J.C., Kang Y.S., Schulz R.J., Measurement of radiation dose distributions by nuclear magnetic resonance (NMR) imaging, Phys. Med. Biol., 29, pp. 1189-1197, (1984)

[4]

Fricke H., Morse S., The chemical action of roentgen rays on dilute ferrous sulfate solutions as a measure of radiation dose, Am. J. Roentgenol. Radium Therapy Nucl. Med., 18, pp. 430-432, (1927)

[5]

Schulz R.J., DeGuzman A.F., Nguyen D.B., Gore J.C., Dose-response curves for Fricke-infused agarose gels as obtained by nuclear magnetic resonance, Phys. Med. Biol., 35, pp. 1611-1622, (1990)

[6]

Olsson L.E., Westrin B.A., Fransson A., Nordell B., Diffusion of ferric ions in agarose dosimeter gels, Phys. Med. Biol., 37, pp. 2243-2252, (1992)

[7]

Balcom B.J., Lees T.J., Sharp A.R., Diffusion of Fe(III) in agarose radiation dosimetry phantoms, Proceedings of Society of Magnetic Resonance in Medicine, (1994)

[8]

Balcom B.J., Lees T.J., Sharp A.R., Kulkarni N.S., Wagner G.S., Diffusion in Fe(II/III) radiation dosimetry gels measured by magnetic resonance imaging, Phys. Med. Biol., 40, pp. 1665-1676, (1995)

[9]

Baldock C., Harris P.J., Piercy A., Patval S., Prior D.N., Keevil S.F., Summers P., Temperature dependence of diffusion in Fricke gel MRI dosimetry, Med. Phys., 22, (1995)

[10]

Baldock C., Harris P.J., Piercy A., Patval S., Prior D.N., Keevil S.F., Summers P., Investigation of temperature dependence of diffusion in agar Fricke gel for MRI dosimetry, Proceedings of International Society for Magnetic Resonance in Medicine, 22, (1995)

← 1 2 3 4 →