以ABAQUS探討熱探針法之試驗變因

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姓名

游忠霖(Chung-lin Yu) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

以ABAQUS探討熱探針法之試驗變因
(Discussing the factors of thermal probe method with ABAQUS)

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摘要(中)

本研究根據熱探針法之試驗原理，藉由有限元素分析軟體(ABAQUS)，以合理的分析條件及適當的材料參數進行數值模擬，透過與理論解之比較，驗證數值模式之準確性與適用性。接著，逐一探討熱探針法之試驗變因(試體尺寸、淨空、填充導熱泥及輸入電壓等問題)，並配合張家銘(2006)之試驗結果，推求準確之量測值。最後進行材料之參數研究及非等向性岩石之數值模擬，以作為往後實驗者之考量依據。
數值結果顯示，試體之寬徑比應達12.5以上，以避免邊界效應之影響；隨著淨空值增加，會造成低估試體熱傳導係數，且由等值線圖可知，熱傳遞範圍明顯減少，建議填充適當之導熱泥；導熱泥使用應考量待測物之熱傳導係數，不宜填充過差而影響熱源傳遞；電壓輸入量不影響試體之熱傳導係數。參數研究方面，熱源材料比熱或密度對升溫曲線前半部(0～100秒)影響程度最大，建議採用100秒後直線段推求熱傳導係數；相同接觸熱阻條件下，接觸介面厚度較高者填充高熱導性之導熱泥，將提升試體熱傳導係數。
非等向性岩石之數值結果可知，數值模擬證實層狀岩石可等值為橫向等向性岩石；橫向等向性岩石不同異向性比之探討，數值解與Laplace方程式理論解皆有良好的一致性。

摘要(英)

According to the experimental principle of thermal probe method, the research adopted the finite element analysis (ABAQUS), it carried on the numerical simulation with rational analysis condition and appropriate materal parameters. Through the comparison with theoretical solution, verify the accuracy and suitability of numerical model. Then, some factors of thermal probe method are investigated, including the relative size of the specimen, clearance, type of thermal grease, and inputting the voltage etc., and cooperate with the result of the experiment by Chang(2006) to inquire into the accurate value. Finally, it carried on parameter research and numerical simulation of non-isotropic rock, in order to take them into account for test subsequently.
The numerical result showed that the aspect ratio of the specimen up to 12.5, avoid the influence of boundary effect. If clearance increases, it will underestimate thermal conductivity of the specimen. According to the contour plot, the range of heat transfer will reduce obviously. So numerical result indicated that it need to pack the appropriate thermal grease. The respect of using thermal grease, it should be consider the thermal conductivity of the specimen, not pack too bad to influence the heat transmission. The value of inputting voltage will not influence the thermal conductivity of the specimen. The respect of parameter research showed that the specific heat or density of heat source material causes heavy influence on the range of 0~100 seconds in temperature rise curve. So it suggested to adopt the straight line section after 100 seconds to inquired into thermal conductivity. Under the same thermal resistivity, if the thickness of interface is thicker to pack higher thermal conductivity of grease, it will improve thermal conductivity of the specimen.
The numerical result of non-isotropic rock showed that the numerical simulation verifies two-phase layered rock can be equivalent to transversely isotropic rock. The discussion of transversely isotropic rock at anisotropic ratio, it can find that numerical solution well agreed with theoretical solution of Laplace’s equation.

關鍵字(中)

★ 橫向等向性
★ 接觸熱阻
★ 等值線圖
★ ABAQUS
★ 熱探針法

關鍵字(英)

★ contour plot
★ ABAQUS
★ transversely isotropic rock
★ thermal probe method
★ thermal resistivity

論文目次

摘要 I
Abstract II
誌謝 Ⅲ
目錄 IV
圖目錄 VII
表目錄 XI
第一章緒論 1
1.1前言 1
1.2研究目的與方法 1
1.3論文架構 2
1.4研究流程 3
第二章文獻回顧 4
2.1大地材料基本熱學理論 4
2.2熱傳導係數之定義 4
2.3熱擴散方程式之推導 6
2.4熱傳導係數之量測方法 8
2.4.1熱探針法 8
2.4.2熱探針連續量測法 11
2.4.3暫態平面熱源法 12
2.4.4熱流計法 13
2.4.5分割棒法 14
2.4.6各量測方法比較 15
2.5複合材料熱傳導係數預測模式 16
2.5.1N相材料之串聯與並聯 16
2.5.2Self-Consistent Scheme預測模式 17
2.5.3微分模式(Differential Scheme) 19
2.5.4岩石熱傳導係數之預測模式 20
2.6前人之熱探針量測法數值模擬研究 23
第三章數值模擬 26
3.1有限元素軟體簡介 26
3.2數值分析理論 27
3.3熱探針量測法之試驗儀器 29
3.3.1熱探棒 29
3.3.2電源供應器 31
3.3.3資料擷取系統 32
3.3.4試驗之量測方式 33
3.4有限元素數值分析 34
3.4.1建構物件 35
3.4.2材料參數 36
3.4.3設定分析種類並輸出變數 36
3.4.4設定接觸面 37
3.4.5邊界條件 39
3.4.6選用合理的元素與劃分網格 41
第四章數值模擬結果與討論 42
4.1數值模型之驗證 42
4.1.1網格收斂性之探討 42
4.1.2數值解與解析解比較 45
4.2數值模擬與實驗結果之比較 47
4.2.1試體尺寸之探討 47
4.2.2淨空值之探討 50
4.2.3填充導熱泥之改善情形 55
4.2.4輸入電壓之探討 63
4.2.4-1石蠟試體在不同電壓值之結果 65
4.2.4-2硬固水泥試體在不同電壓值之結果 68
4.3參數研究 71
4.3.1熱源材料比熱之探討 71
4.3.2熱源材料密度之探討 74
4.3.3熱源材料熱傳導係數之探討 77
4.3.4施加不同熱功率之探討 79
4.3.5接觸介面熱阻係數之探討 82
4.3.6距離熱源不同徑向位置之溫度 85
4.4橫向等向性岩石之數值模擬 88
4.4.1熱流在橫向等向性岩石之擴散方程式 88
4.4.2層狀岩石與橫向等向性之類比驗證 90
4.4.3橫向等向性岩石之不同異向性比之數值模擬 95
第五章結論與建議 97
5.1結論 97
5.2建議 99
參考文獻 100

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指導教授

田永銘(Yong-Ming Tien)

審核日期

2007-7-24

推文