正交性合成岩體之模擬技術

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姓名

吳柏翰(Po-Han Wu) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

正交性合成岩體之模擬技術
(Simulation program of synthetic rock mass for orthotropic cases)

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摘要(中)

本文以PFC3D（Particle Flow in 3 Dimension）及FracMan建立正交性合成岩體（synthetic rock mass, SRM）之模擬技術，並探討不同裂隙程度（P32）、取樣體積、裂隙直徑（D）及費雪常數（κ）對正交性岩體力學性質及其變異性之影響。本文亦針對類橫向等向性岩體進行相關模擬，並與前人研究之橫向等向性岩體進行比較。透過一系列SRM模擬結果顯示：裂隙程度、取樣體積、裂隙直徑及費雪常數皆對岩體力學性質及其變異性有所影響。隨著岩體裂隙程度、裂隙直徑增加，其正規化力學性質將降低，力學性質變異係數則隨之增加。岩體力學性質變異係數（CV）與取樣體積開根號成反比，並遵守中央極限定理。費雪常數增加，岩體之正規化力學性質平均值將隨之上升，變異係數則隨之下降，岩體行為逐漸由等向性轉為異向性。最後，本文以數值模擬獲得正交性合成岩體之應力應變組成律，其組成律柔度矩陣（compliance matrix）符合Amadei （1987）之正定性（positive definite）檢核。

摘要(英)

This paper uses Particle Flow in 3 Dimension (PFC3D) and FracMan to establish a simulation program of synthetic rock mass (SRM) for orthotropic cases. Besides, this paper discusses the effects of fracture intensity (P32), sampling volume, fracture diameter (D) and Fisher constant (κ) on the mechanical properties and the variation of orthotropic rock mass. In addition, this paper conducts numerical simulations for transversely isotropic rock mass and compares them with previous research results. Based on the SRM numerical simulation results, the fracture intensity, sampling volume, fracture diameter and Fisher constant all have strong effects on the mechanical properties and variation of rock mass. The normalized mechanical properties of rock mass decrease with the increase of fracture intensity and fracture diameter. Conversely, the variation increase with the increase of fracture intensity and fracture diameter. In addition, the coefficient of variations (CV) of mechanical properties of rock mass are inversely proportional to the squared root of sampling volume, which conforms the central limit theorem. As the Fisher constant increases, the mean value of the normalized mechanical properties of rock mass will increase, the coefficient of variation will decrease, and the rock mass behavior will gradually change from isotropic to anisotropic. Finally, the composition law of orthotropic rock mass via conducting a series of numerical tests, and the compliance matrix was validated with the positive definite of Amadei (1987).

關鍵字(中)

★ PFC3D
★ 合成岩體
★ 正交性
★ 正定性

關鍵字(英)

★ PFC3D
★ synthetic rock mass
★ orthotropic
★ positive definite

論文目次

摘要 I
Abstract II
致謝 III
目錄 V
圖目錄 VII
表目錄 XIV
第一章、緒論 1
1.1 .研究動機 1
1.2 研究方法 3
1.3 研究目的 4
1.4 研究架構 4
第二章、文獻回顧 5
2.1 岩體之異向性 5
2.2 正交性岩體之組成律 6
2.3 正交性岩體之彈性常數決定 9
2.4 組成律之正定性 10
2.5 裂隙含量之描述 13
2.6 合成岩體模型（SRM） 15
2.7 裂隙岩體幾何及力學性質不確定性 26
2.8 FracMan軟體介紹 30
2.9 Esmaieli（2010）探討岩體之REV 32
第三章、研究步驟 37
3.1 研究流程 37
3.2 建立正交性合成岩體 39
3.2.1 離散裂隙網絡之生成 39
3.2.2 微觀參數設定 42
3.2.3 合成岩體之建立 45
3.3 完整岩石之力學性質 48
第四章、正交性岩體之模擬結果與討論 51
4.1 正交性合成岩體之建立 51
4.2 正交性岩體之對稱性驗證 56
4.2.1 彈性常數決定 56
4.2.2 應力應變組成律 60
4.2.3 組成律正定性 60
4.2.4 數值模擬與實驗室試驗比較 63
4.3 正交性岩體力學性質之影響因素 65
4.3.1裂隙程度的影響 65
4.3.2裂隙直徑的影響 69
4.4正交性岩體裂隙程度之變異性 73
4.4.1裂隙程度之變異性解析解 73
4.4.2裂隙程度之變異性數值解 74
4.5正交性岩體力學性質之變異性 82
4.5.1裂隙程度之影響 83
4.5.2取樣體積之影響 92
4.5.3費雪常數之影響 98
4.5.4裂隙直徑之影響 113
4.6正交性岩體性質之變異係數比較 117
4.7類橫向等向性岩體 119
4.8裂隙組數對與力學性質的關係 123
第五章、結論與建議 125
5.1結論 125
5.2建議 127
參考文獻 128

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指導教授

田永銘

審核日期

2019-11-5

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