随机生长四参数生成孔隙模型及其分形描述
Pore Model Based on Quartet Structure Generation Set and Its Fractal Description
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- 引用格式:
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朱维伟,姚约东,邹,威,王德强.随机生长四参数生成孔隙模型及其分形描述[J].天然气与石油,2016,34(3):0.doi:
Zhu Weiwei, Yao Yuedong, Zou Wei, Wang Deqiang.Pore Model Based on Quartet Structure Generation Set and Its Fractal Description[J].Natural Gas and Oil,2016,34(3):0.doi:
- DOI:
- 作者:
- 朱维伟 姚约东 邹 威 王德强
Zhu Weiwei, Yao Yuedong, Zou Wei, Wang Deqiang
- 作者单位:
- 中国石油大学(北京)石油工程教育部重点实验室
MOE Key Laboratory of Petro-leum Engineering in China University of Petroleum
- 关键词:
- 随机生长四参数；孔隙度；分形；盒维数；多重分形
QSGS; Porosity; Fractal; Box-counting dimension; Multifractal
- 摘要:
- 储层孔隙是油气储存和运移的主要通道,孔隙结构的研究在油气田开发中占有十分重要的位置。通过随机生长四参数算法,建立了21组不同孔隙度、相同概率生长方向和若干组相同孔隙度、具有优势生长方向的孔隙模型,定量计算了各个孔隙模型的分形盒维数及其多重分形谱,对比研究孔隙结构与分形维数相关关系的结果表明孔隙介质具有很好的分形性质,孔隙度与盒维数在双对数表示下,具有高度线性相关性。多重分形谱特征参数Δα与孔隙度相对独立,能够反映孔隙结构的非均质性,其值越大,说明孔隙结构的非均质性越强。
Pores in the reservoir are the main channel for oil and gas storage and transportation. It is the most basic and fundamental aspect to study the pore' s structures in oil & gas filed exploitation. With the application of quartet structure generation set (QSGS) method, 21 pore models with different porosity but identical directional generation possibility, and various pore models with the same porosity and advantageous growth direction are built in this paper. The fractal dimension (box-counting dimension) and multifractal spectrum of each model are calculated, and the comparison and analysis of the correlation between pore structure and fractal dimension are conducted. The result shows that pore structure has good fractal property, the porosity and box dimension have a high linear correlation in double logarithmic axis. The characteristic parameter of multifractal spectrum Δα is relatively independent of porosity, which reflects the heterogeneity of pore structure. The greater value indicates stronger heterogeneity of pore structure.
