LITHOLOGIC RESERVOIRS ›› 2015, Vol. 27 ›› Issue (5): 104-107.doi: 10.3969/j.issn.1673-8926.2015.05.017

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A new method of determining grain size based on rock section image

Yuan Rui1，2， Zhu Rui1， Qu Jianhua3， Sun Yuqiu2， Tang Yong3， Pan Jin1   

  1.  1. School of Geosciences ， Yangtze University ， Wuhan 430100 ， China ； 2. School of Information and Mathematics ，Yangtze University ， Jingzhou 434023 ， Hubei ， China ； 3. Research Institute of Exploration and Development ，PetroChina Xinjiang Oilfield Company ， Karamay 834000 ， Xinjiang ， China
  • Online:2015-09-26 Published:2015-09-26
  • Supported by:

    spatial autocorrelation coefficient|grain size analysis|least squares method|simulated rock section

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Abstract:

Despite technological advances in lab instruments, grain-size analysis has many limitations, such as low speed. A theoretical method of determining grain size based on spatial autocorrelation coefficient of simulated rock section was proposed. Firstly, spatial autocorrelation coefficient was obtained from a group of known distribution grain size of rock section. Secondly, an unknown distribution grain size of rock section was used to calculate spatial autocorrelation coefficient. Finally, linear least squares method about spatial autocorrelation coefficient was solved with constrains. In order to show the feasibility and availability of this method, a serial theoretical rock sections were simulated by random ellipse process. Relationship between spatial autocorrelation coefficient and grain size of simulated rock section was analyzed. With the decrease of offset or increase of grain size of rock section, spatial autocorrelation coefficient is increasing. Grain size distribution of simulated rock section was determined accurately. For example, gritstone was separated into 0.5～1.0 mm, 1.0～1.5 mm and 1.5～2.0 mm, whose computed percentages are respectively 55.8%, 24.6% and 20.2% by the proposed method, closing to the actual values, and the variation trend is same as the actual.

Key words: large-area sand bodies, formation mechanism, the eighth member of Shihezi Formation, Ordos Basin

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