Advanced Search

Indexed by SCI、CA、РЖ、PA、CSA、ZR、etc .

Volume 28 Issue 5
Oct 2017
Turn off MathJax
Article Contents
Journal of Earth Science  > 2017  >  28(5): 888-896.
Carlos García-Gutiérrez, Fernando San José Martínez, J. Caniego. A Protocol for Fractal Studies on Porosity of Porous Media: High Quality Soil Porosity Images. Journal of Earth Science, 2017, 28(5): 888-896. doi: 10.1007/s12583-017-0777-x
Citation: Carlos García-Gutiérrez, Fernando San José Martínez, J. Caniego. A Protocol for Fractal Studies on Porosity of Porous Media: High Quality Soil Porosity Images. Journal of Earth Science, 2017, 28(5): 888-896. doi: 10.1007/s12583-017-0777-x
shu

A Protocol for Fractal Studies on Porosity of Porous Media: High Quality Soil Porosity Images

doi: 10.1007/s12583-017-0777-x
  • 1.

    Dpto. Matemática Aplicada, E.T.S.I. Navales, Universidad Politécnica de Madrid, Madrid 28040, Spain

  • 2.

    Dpto. Matemática Aplicada, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, Madrid 28040, Spain

More Information
  • Corresponding author: Carlos García-Gutiérrez. carlos.garciagutierrez@upm.es
  • Received Date: 11 Mar 2017
  • Accepted Date: 24 May 2017
  • Publish Date: 01 Oct 2017
    Abstract
  • A protocol for obtaining digital images from natural porous media with a wide range of pore sizes, intended for fractal studies of the porosity, is proposed. Soil porosity is used as paradigm of complex natural porous media in this study. The use of several imaging devices and fluorescent compounds to enhance the contrast between the solid and the pore phase is tested. Finally a protocol is reached using a photo camera and a confocal microscope. It is the first time that confocal microscopy is used for this purpose. Artificial porous images are created through random Sierpinski carpet fractals and the statistical information of real soil images. These ground truth images are used in an objective comparison of automatic segmentation algorithms for the obtained images. A statistical classification on the performance of several automatic segmentation algorithms for this type of images is reached.

     

    • FullText(HTML)
  • loading
    • References(43)
  • Bartoli, F., Dutartre, P., Gomendy, V., et al., 1998. Fractals and Soil Structure. In: Fractals in Soil Science. CRC Press LLC, Cleveland. 203-232 http://agris.fao.org/agris-search/search.do?recordID=US1997058966
    Bartoli, F., Philippy, R., Doirisse, M., et al., 1991. Structure and Self-Similarity in Silty and Sandy Soils: The Fractal Approach. Journal of Soil Science, 42(2): 167-185. doi: 10.1111/j.1365-2389.1991.tb00399.x
    Bergman, E., 1985. Nutrient Solution Culture of Plants. The Pennsylvania State University College of Agriculture, Extension Service Hort. Mimeo Series Ⅱ. Pennsylvania http://www.cabdirect.org/abstracts/19710300134.html
    Bullock, P., Fedoroff, N., Jongerius, A., et al., 1985. Handbook of Soil Thin Section Description. Waine Reserch, Wolverhampton. 152 http://www.sciencedirect.com/science/article/pii/S016624810870388X
    Caniego, F. J., Martín, M. A., San José, F., 2001. Singularity Features of Pore-Size Soil Distribution: Singularity Strength Analysis and Entropy Spectrum. Fractals, 9(3): 305-316. doi: 10.1142/s0218348x0100066x
    Caniego, F., Martín, M., San José Martínez, F., 2003. Rényi Dimensions of Soil Pore Size Distribution. Geoderma, 112(3/4): 205-216. doi: 10.1016/s0016-7061(02)00307-5
    Chun, H. C., Giménez, D., Yoon, S. W., 2008. Morphology, Lacunarity and Entropy of Intra-Aggregate Pores: Aggregate Size and Soil Management Effects. Geoderma, 146(1/2): 83-93. doi: 10.1016/j.geoderma.2008.05.018
    Duda, R., Hart, P., Stork, D., 2001. Pattern Classification. John Wiley & Sons, New York http://dblp.uni-trier.de/db/journals/paa/paa1.html#Guyon98
    Edwards, W. M., Norton, L. D., Redmond, C. E., 1988. Characterizing Macropores that Affect Infiltration into Nontilled Soil. Soil Science Society of America Journal, 52(2): 483. doi:10.2136/sssaj1988. 03615995005200020033x
    FitzPatrick, E. A., 1984. Micromorphology of Soils. Chapman & Hall, New York http://ci.nii.ac.jp/ncid/BA03447556?l=ja
    Frykman, P., Rogon, T. A., 1993. Anisotropy in Pore Networks Analyzed with 2-D Autocorrelation (Variomaps). Computers & Geosciences, 19(7): 887-930. doi: 10.1016/0098-3004(93)90002-m
    García-Gutiérrez, C. , 2004. Adquisición y Tratamiento de Imágenesdigitales de Suelo Para el anáLisis Multifractal de la Porosidad: [Dissertation]. Escuela Técnica Superior de Ingenieros Agrónomos. Universidad Politécnica de Madrid, Madrid (in Spanish)
    García-Gutiérrez, C. , 2010. Caracterización y Modelización de la Estructura y la Textura de Lossuelos Usando Técnicas de Análisis de Imagen y Geometría Fractal. Aplicación al Estudio de la Diffusion en Medios Porosos: [Dissertation]. Universidad Politécnica de Madrid, Madrid (in Spanish)
    Geyger, E., Beckmann, W., 1967. Apparate und Methodem der mokromorphometrischen Struktur Analyse des Bodens. In: Die Mikromorphometrische Boden Analyse. Ferdinand Enke Verlag, Stuttgart. 36-57 doi: 10.1007/978-3-662-02226-9_1
    Glasbey, C. A., 1993. An Analysis of Histogram-Based Thresholding Algorithms. CVGIP: Graphical Models and Image Processing, 55(6): 532-537. doi: 10.1006/cgip.1993.1040
    Glasbey, C. A. , Horgan, G. W. , 1995. Image Analysis for the Biological Sciences. John Wiley & Sons, New York
    Gomendy, V., Bartoli, F., Burtin, G., et al., 1999. Silty Topsoil Structure and Its Dynamics: The Fractal Approach. Geoderma, 88(3/4): 165-189. doi: 10.1016/s0016-7061(98)00103-7
    Hatano, R., Kawamura, N., Ikeda, J., et al., 1992. Evaluation of the Effect of Morphological Features of Flow Paths on Solute Transport by Using Fractal Dimensions of Methylene Blue Staining Pattern. Geoderma, 53(1/2): 31-44. doi: 10.1016/0016-7061(92)90019-4
    Iassonov, P., Gebrenegus, T., Tuller, M., 2009. Segmentation of X-Ray Computed Tomography Images of Porous Materials: A Crucial Step for Characterization and Quantitative Analysis of Pore Structures. Water Resources Research, 45(9): 706-715. doi: 10.1029/2009wr008087
    Katz, A. J., Thompson, A. H., 1985. Fractal Sandstone Pores: Implications for Conductivity and Pore Formation. Physical Review Letters, 54(12): 1325-1328. doi: 10.1103/physrevlett.54.1325
    Kim, J. W., Perfect, E., Choi, H., 2007. Anomalous Diffusion in Two-Dimensional Euclidean and Prefractal Geometrical Models of Heterogeneous Porous Media. Water Resources Research, 43(1): W1405. doi: 10.1029/2006wr004951
    Leica, M. , 2010. Technical Details on Leica's Confocal Microscope. [2017-02-23]. http://www.leica-microsystems.com/products/confocal-microscopes/
    Mandelbrot, B., 1982. The Fractal Geometry of Nature. W. H. Freeman and Company, New York
    Martín, M., Rey, J., Taguas, F., 2001. An Entropy-Based Parametrization of Soil Texture via Fractal Modelling of Particle-Size Distribution. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 457(2008): 937-947. doi: 10.1098/rspa.2000.0699
    Martín, M., Taguas, F., 1998. Fractal Modelling, Characterization and Simulation of Particle-Size Distributions in Soil. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 454(1973): 1457-1468. doi: 10.1098/rspa.1998.0216
    Minski, M. , 2010. Memoir on Inventing the Confocal Scanning Microscope. [2017-02-23]. http://web.media.mit.edu/minsky/
    Moran, C. J., McBratney, A. B., Koppi, A. J., 1989. A Rapid Method for Analysis of Soil Macropore Structure. I. Specimen Preparation and Digital Binary Image Production. Soil Science Society of America Journal, 53(3): 921-928. doi: 10.2136/sssaj1989.03615995005300030048x
    Muller, J., 1996. Characterization of Pore Space in Chalk by Multifractal Analysis. Journal of Hydrology, 187(1/2): 215-222. doi: 10.1016/s0022-1694(96)03097-1
    Murphy, C., 1986. Thin Section Preparation of Soils and Sediments. AB Academic Publishers, Berkhamsted http://ci.nii.ac.jp/ncid/BA08031781
    Murphy, C. P., Bullock, P., Turner, R. H., 1977. The Measurement and Characterisation of Voids in Soil Thin Sections by Image Analysis. Part Ⅰ. Principles and Techniques. Journal of Soil Science, 28(3): 498-508. doi: 10.1111/j.1365-2389.1977.tb02258.x
    Ogawa, S., Baveye, P., Boast, C. W., et al., 1999. Surface Fractal Characteristics of Preferential Flow Patterns in Field Soils: Evaluation and Effect of Image Processing. Geoderma, 88(3/4): 109-136. doi: 10.1016/s0016-7061(98)00101-3
    Pachepsky, Y., Crawford, J., Rawls, W., 2000. Fractals in Soil Science. Developments in Soil Science 27, 1st Ed. Elsevier, Amsterdam http://ci.nii.ac.jp/ncid/BA39560040
    Pachepsky, Y., Yakovchenko, V., Rabenhorst, M. C., et al., 1996. Fractal Parameters of Pore Surfaces as Derived from Micromorphological Data: Effect of Long-Term Management Practices. Geoderma, 74(3/4): 305-319. doi: 10.1016/s0016-7061(96)00073-0
    Pagliai, M., Lamarca, M., Lucamante, G., 1983. Micromorphometric and Micromorphological Investigations of a Clay Loam Soil in Viticulture under Zero and Conventional Tillage. Journal of Soil Science, 34(2): 391-403. doi: 10.1111/j.1365-2389.1983.tb01044.x
    Persson, A. L., 1998. Image Analysis of Shape and Size of Fine Aggregates. Engineering Geology, 50(1/2): 177-186. doi: 10.1016/s0013-7952(98)00009-x
    Rozenbaum, O., Le Trong, E., Rouet, J. L., et al., 2007. 2-D Image Analysis: A Complementary Tool for Characterizing Quarry and Weathered Building Limestone. Journal of Cultural Heritage, 8(2): 151-159. doi: 10.1016/j.culher.2007.01.004
    San José Martínez, F., Caniego, F. J., García-Gutiérrez, C., et al., 2007. Representative Elementary Area for Multifractal Analysis of Soil Porosity Using Entropy Dimension. Nonlinear Processes in Geophysics, 14(4): 503-511. doi: 10.5194/npg-14-503-2007
    Sezgin, M., Sankur, B., 2004. Survey over Image Thresholding Techniques and Quantitative Performance Evaluation. Journal of Electronic Imaging, 13(1): 146-165. doi: 10.1117/1.1631315
    Sukop, M. C., Perfect, E., Bird, N. R. A., 2001. Water Retention of Prefractal Porous Media Generated with the Homogeneous and Heterogeneous Algorithms. Water Resources Research, 37(10): 2631-2636. doi: 10.1029/2000wr000097
    Unnikrishnan, R., Pantofaru, C., Hebert, M., 2005. A Measure for Objective Evaluation of Image Segmentation Algorithms. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR' 05), Workshop on Empirical Evaluation Methods in Computer Vision, IEEE, San Diego http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=1565332&punumber%3D10468
    VandenBygaart, A. J., Protz, R., 1999. The Representative Elementary Area (REA) in Studies of Quantitative Soil Micromorphology. Geoderma, 89(3/4): 333-346. doi: 10.1016/s0016-7061(98)00089-5
    Vogel, H. J., Kretzschmar, A., 1996. Topological Characterization of Pore Space in Soil—Sample Preparation and Digital Image-Processing. Geoderma, 73(1/2): 23-38. doi: 10.1016/0016-7061(96)00043-2
    Wang, W., Kravchenko, A. N., Smucker, A. J. M., et al., 2011. Comparison of Image Segmentation Methods in Simulated 2D and 3D Microtomographic Images of Soil Aggregates. Geoderma, 162(3/4): 231-241. doi: 10.1016/j.geoderma.2011.01.006
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(5)  / Tables(2)

    Get Citation
    PDF
    XML

    Article Metrics

    Article views(883) PDF downloads(106) Cited by()
    Proportional views
    Related

    Copyright © 2013-2020 Journal of Earth Science 鄂ICP备15021562号-2

    Tel: +86-27-67885075 Fax: +86-27-67885075 E-mail: xbb@cug.edu.cn

    Address: Editorial Office of Journal, China University of Geosciences, Yujiashan, Wuhan, Hubei 430074, P. R. China

    Supported by: Beijing Renhe Information Technology Co. Ltd  E-mail: info@rhhz.net  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return