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顆粒剛度變化對膠結砂巖力學響應的影響

Effect of change in particle stiffness on the mechanical response of cemented sandstone

  • 摘要: 為分析膠結砂巖的力學響應和破壞機理,基于試驗建立不同剛度比的三維顆粒流數值模型,驗證數值模型的可行性,并分析不同膠結性狀的砂巖力學響應,進一步說明膠結物質的重要作用及模型的適用性.分析顆粒接觸剛度比和平行黏結剛度與顆粒接觸剛度的比值變化時,砂巖的應力比、體應變、配位數和平行黏結破壞數的變化規律以及對模型的泊松比、初始剛度和延性的影響.結果表明:不同的顆粒剛度比對巖樣宏觀力學響應的影響不同,顆粒接觸剛度比越小,且切向剛度越大時,膠結砂巖的脆性越強;平行黏結剛度與顆粒接觸剛度的比值越大,脆性越強,黏結破壞越容易,剪切破壞越明顯.顆粒剛度對膠結砂巖的力學響應和變形能力有重要的影響,是實際儲層砂巖力學模擬選擇有效細觀參數和構建本構關系的關鍵.

     

    Abstract: For determining the mechanical parameters and failure mechanism of cemented sandstone, based on experiments, a micromechanical method based on 3-D particle flow code (PFC3D) was proposed to simulate the gradual failure process considering different particle stiffness ratios to verify the feasibility of the numerical model. The mechanical response of sandstone with different cemented materials was analyzed to further indicate the significance of cemented materials and the applicability of the numerical model. Considering changes in the particle stiffness ratio and the ratio of parallel bond stiffness to particle stiffness, the stress ratio, volume strain, coordination number and number of broken parallel bonds changing with axial strain were discussed and their influences on the Poisson's ratio, initial stiffness and ductility were deeply investigated for the cemented sandstone. Simulation results show that different stiffness ratios have different influences on the micromechanical response of the cemented sandstone. Especially with the decrease in particle stiffness, when the tangential stiffness is larger, the cemented sandstone is more brittle. The larger the ratio of parallel bond stiffness to particle stiffness, the greater the brittleness is, and shear failure is more prone to appear in the cemented sandstone. It is concluded that particle stiffness plays a significant role on the mechanical behavior and deformation ability of the cemented sandstone, and especially is very important to choose micro-parameters and construct a constitutive relation in 3-D numerical modeling for practical reservoir sandstone.

     

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