Macroscopic Young’s Elastic Modulus Model of Particle Packing Rock Layers

Cheng-Yao Guan, Jia-Fu Qi, Nan-Sheng Qiu, Guo-Chun Zhao, Qiao Yang, Xiang-Dong Bai, Chao Wang

Institute of Disaster Prevention, Sanhe, China.
State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, China.
The College of Geosciences and Resources, China University of Geosciences, Beijing, China.

DOI: 10.4236/ojg.2012.23020                

Abstract

Based on the Hertzian granular contact mechanics model, the paper built up a Macroscopic Young’s Elastic Modulus of particle/granular packing rock layers, and built up a ties to connecting Young’s Elastic Modulus of sand particle in Meso and the Macroscopic Young’s Modulus of granular packing rock layers. The Macroscopic Young’s Modulus of granular packing rock layers is far less than the Young’s Modulus of sand particle. The Macroscopic Young’s Modulus of granular packing rock layers is proportioned to the powers of 1/3 of the vertical contact force of sand particles. The Macroscopic Young’s Modulus is inversely proportional to particle diameter. The paper calculated the vertical contact force of five types aligning mode of the particles. When equal stress, the increased of the coordination number lead to the decrease of the contact force fn, this lead to the coordination number is an inverse proportion to Macroscopic Young’s Modulus. But the larger coordination number change only means very little Macroscopic Young’s Modulus change.

Keywords

Particle Contact; Macroscopic Young’s Modulus; Arrangements of Particle

Conflicts of Interest

The authors declare no conflicts of interest.

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