MVT型矿床中闪锌矿结晶的Liesegang环带模拟

徐德义; 成秋明; 王志敬

MVT型矿床中闪锌矿结晶的Liesegang环带模拟

徐德义^{1, 2, 3,},
成秋明^{2, 3},
王志敬³

1.
中国地质大学经济管理学院，湖北武汉 430074
2.
中国地质大学地质过程与矿产资源国家重点实验室，湖北武汉 430074
3.
加拿大约克大学地球空间科学与工程系，加拿大多伦多 M3J1P3

基金项目:

国家自然科学基金项目 40373003

国家自然科学基金项目 40502029

国家自然科学基金项目 40525009

国家自然科学基金项目 40638041

地质过程与矿产资源国家重点实验室开放基金 GPMR2007-19

教育部创新团队基金 IRT0755

详细信息

作者简介:
徐德义（1964—），男，博士，教授，从事数学地质及非线性地质过程研究.E-mail：xdy@cug.edu.cn

中图分类号: P578.2
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- 被引次数: 0
出版历程
- 收稿日期: 2008-11-14
- 刊出日期: 2009-03-25

Simulation of Liesegang Band in Sphalerite in MVT Deposits

XU De-yi^{1, 2, 3
,},
CHENG Qiu-ming^{2, 3},
WANG Zhi-jing³

1.
School of Economics and Management, China University of Geosciences, Wuhan 430074, China
2.
State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan 430074, China
3.
Department of Earth and Space Science and Engineering, York University, Toronto M3J1P3, Canada

摘要

摘要:
在六方晶系方解石被闪锌矿所交代的假设基础上, 用反应扩散方程建立了六方晶系CNN动力学模拟系统, 模拟了闪锌矿的Liesegang环带结构和矿物晶体中结晶颗粒半径分布.结果表明随着交代作用自外向内的减弱, 闪锌矿矿化强度逐渐减弱, 闪锌矿Fe/Zn比呈振荡变化形成Liesegang环带结构, 并且闪锌矿结晶颗粒半径逐渐减小, 最大结晶颗粒半径与边界的距离服从幂律分布(分形).
- MVT型矿床 /
- 闪锌矿 /
- CNN /
- Liesegang环带 /
- 幂律
Abstract:
Based on a new hypothesis that sphalerites are formed in replacement of hexagonal calcites in Mississippi Valley-type (MVT) deposits, a new cellular nonlinear network (CNN) model is proposed in a hexagonal coordinate system.The simulated results show that the sphalerites formed have Liesegang band textures and the radii of the crystallites oscillating decreases from the rim of the calcite crystal inward.It also shows that the radii of sphalerites decreases from the rim in conformity with the power-law distribution.
- MVT deposit /
- sphalerite /
- CNN /
- Liesegang band /
- power-law

HTML全文

图 1 Liesegang斑图

闪锌矿组分环带结构, 灰度表示FeS含量的变化.样本采自加拿大西北Pine Point矿(Fowler and L'Heureux, 1996)

Fig. 1. Liesegang pattern

下载: 全尺寸图片幻灯片

图 2 空间剖分和编码

Fig. 2. Space portioning and coding

下载: 全尺寸图片幻灯片

图 3 矿物晶体表面FeS与ZnS摩尔浓度的比例p模拟结果

外层正六边形边长为n=30, 迭代次数20 000;图中t值为迭代次数, 不同颜色表示p的相对值, 是用Matlab伪着色函数PCOLOR绘制的

Fig. 3. Simulated results of the mole fraction of FeS and ZnS

下载: 全尺寸图片幻灯片

图 4 结晶颗粒半径模拟结果

图中x表示结晶颗粒在矿物晶体对角线上的位置, r是颗粒半径, 正六边形边长为n=40, 迭代次数为150 000.a.自矿物晶体中心到边缘晶体颗粒半径分布图; b.矿物晶体半径距离系统边缘距离的分布关系

Fig. 4. Radii of the crystallites

下载: 全尺寸图片幻灯片

参考文献(25)

[1]	Anderson, G. M., MacQueen, R. W., 1982. Ore deposit models 6. Mississippi Valley-type lead-zinc deposits. Geosci. Canada, 9: 108-117.
[2]	Cathles, L. M., Smith, A. T., 1983. Thermal constraints on the formation of Mississippi Valley-type lead-zinc deposits and their implications for episodic basin dewatering and deposit genesis. Economic Geology, 78: 983-1002. doi: 10.2113/gsecongeo.78.5.983
[3]	Cheng, Q. M., 2007. Multifractal imaging filtering and decomposition methods in space, Fourier frequency, and eigen domains. Nonlin. Processes Geophys., 14: 293-303. doi: 10.5194/npg-14-293-2007
[4]	Chua, L. O., 1997. CNN: A vision of complexity. International Journal of Bifurcation and Chaos, 7: 2219-2425. doi: 10.1142/S0218127497001618
[5]	Dogaru, R., Chua, L. O., 1998. Edge of chaos and local activity domain of Fitz Hugh-Nagumo equation. International Journal of Bifurcation and Chaos, 8 (2): 211-257. doi: 10.1142/S0218127498000152
[6]	Droz, M., 2000. Recent theoretical developments on the formation of Liesegang patterns. Journal of Statistical Physics, 101 (1-2): 509-519.
[7]	Droz, M., Magnin, J., Zrinyi, M., 1999. Liesegang patterns: Studies on the width law. The Journal of Chemical Physics, 110 (19): 9618-9622. doi: 10.1063/1.478927
[8]	Etminan, H., Hoffmann, C. F., 1989. Biomarkers in fluid inclusions: A new tool in constraining source regimes and its implications for the genesis of Mississippi Valleytype deposits. Geology (Boulder), 17 (1): 19-22. doi: 10.1130/0091-7613(1989)017<0019:BIFIAN>2.3.CO;2
[9]	Feeney, R., Schmidt, S. L., Strickhol m, P., et al., 1983. Periodic precipitation and coarsening waves: Applications of the competitive particle growth model. Journal of Chemical Physics, 78 (3): 1293-1311. doi: 10.1063/1.444867
[10]	Ferenc, I., Istán, L., 2005. Simulation of a crossover from the precipitation wave to moving Liesegang pattern formation. J. Phys. Chem. A, 109 (5): 730-733. doi: 10.1021/jp047111v
[11]	Fowler, A. D., L'Heureux, I., 1996. Self-organized banded sphalerite and branching galena in the pine point ore deposit, Northwest territories. Can. Mineral., 34: 1211-1222.
[12]	Garven, G., 1985. The role of regional fluid flow in the genesis of the point deposit, western Canada sedimentary basin. Economic Geology, 80 (2): 307-324. doi: 10.2113/gsecongeo.80.2.307
[13]	George, J., Varghese, G., 2002. Liesegang patterns: Estimation of diffusion coefficient and a plausible justification for colloid explanation. Colloid & Polymer Science, 280 (12): 1131-1136.
[14]	Jackson, S. A., Beales, F. W., 1967. An aspect of sedimentary basin evolution: The concentration of Mississippi Valley-type ores during the late stages of diagenesis. Bull. Can. Petrol. Geol. , 15: 393-433.
[15]	Katsev, S., L'Heureux, I., 2001. Two-dimensional model of banding pattern formation in minerals by means of coarsening waves: Mississippi Valley-type sphalerite. Physics Letters A, 292: 66-74. doi: 10.1016/S0375-9601(01)00767-8
[16]	L'Heureux, I., Fowler, A. D., 1996. Isothermal constitutive undercooling as a model for oscillatory zoningin plagioclase. Can. Mineral. , 34: 1137-1147.
[17]	L'Heureux, I., 2000. Origin of banded patterns in natural sphalerite. Phys. Rev. E, 62 (3): 3234-3245. doi: 10.1103/PhysRevE.62.3234
[18]	Maaoe, F. A., Kirkedelen, M. B., Hansen, A., 1998. Liesegang pattern formation by gas diffusion in silica aerogels. Journal of Non-Crystalline Solids, 225 (1): 298-302.
[19]	Min, L., Crounse, K. R., Chua, L. O., 2000. Analytical criteria for local activity and applications to the Oregonator CNN. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 10: 2321-2340.
[20]	Narita, T., Tokita, M., 2006. Liesegang pattern formation in kappa-carrageenan gel. Langmuir, 22 (1): 349-352. doi: 10.1021/la0522350
[21]	Wang, Z. J., Cheng, Q. M., Xu, D. Y., et al., 2008. Fractal modeling of sphalerite banding in Jinding Pb-Zn deposit, Yunnan, southwestern China. J. of China University of Geosciences, 19 (1): 77-84. doi: 10.1016/S1002-0705(08)60027-8
[22]	Xu, D. Y., Yu, C. W., Bao, Z. Y., 2003a. Edge of chaos and local activity and domain of B-Z CNN. Earth Science Frontiers, 10 (2): 487-491 (in Chinese with English abstract).
[23]	Xu, D. Y., Yu, C. W., Bao, Z. Y., 2003b. Simulating some complex phenomenain hydrothermal ore-forming processes by reaction-diffusion CNN. J. of China University of Geosciences, 14 (3): 215-219.
[24]	Yu, J., Namba, Y., 1998. Atomic surface roughness. Applied Physics Letters, 73 (24): 3607-3609. doi: 10.1063/1.122839
[25]	徐德义, 於崇文, 鲍征宇, 2003a. B-Z CNN的局部活性与混沌边缘域. 地学前缘, 10 (2): 487-491. https://www.cnki.com.cn/Article/CJFDTOTAL-DXQY200302040.htm