博碩士論文 953202023 詳細資訊


姓名 蕭弘典(Hung-Dian Shiau)  查詢紙本館藏   畢業系所 土木工程學系
論文名稱 橫向等向性岩石熱傳導係數量測及誤差分析
(Measuring thermal conductivity of transversely isotropic rock and error analysis)
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摘要(中) 本研究以熱探針法進行橫向等向性岩石的熱傳導係數量測,同時進行超音波波速的量測,為了提高熱探針法的精準度,並比較其關係。故於量測熱傳導係數前先以誤差傳播理論對熱探針法進行標準差的評估,並針對原始量測資料,對量測結果進行改良加權移動平均,減少量測雜訊對結果產生的影響。
實驗結果顯示,誤差傳播的理論可以求得熱傳導係數標準差。此標準差可應用於設計實驗參數,對實驗參數進行最佳化配置。對熱傳導係數影響最大的誤差為量測雜訊,可影響熱傳導係數達59 %以上。將數據透過改良加權移動平均法的處理後,使雜訊對熱傳導係數的影響降至9 %。於改良的過程中,發現若是熱傳導係數大的樣本,量測雜訊對熱傳導係數的影響越大。故若樣本的熱傳導係數越大,其量測雜訊的影響必需要減少,否則量測所得的熱傳導係數會有偏差。
於橫向等向性岩石的量測結果發現,本研究中的橫向等向性岩石,其平行片理方向的熱傳導係數約為垂直片理方向的熱傳導係數的兩倍,最快超音波波速為最慢超音波波速的兩倍以上。正交方向量測得的熱傳導係數比例,與最快超音波波速及最慢超音波波速比例相接近。
摘要(英) The subject of this research is using thermal probe method to measure the thermal conductivity of transversely isotropic rock while P-wave velocity at different angles is also measured. In order to improve the precision of thermal probe method, error propagation theory is used to estimate the standard deviation of measured results. A refined weighted moving average algorithm is applied to reduce the effect of noise from measuring.
The value of standard deviation can be used to optimize experimental parameter for thermal probe method. For thermal conductivity, measurement noise affects the most, up to 59% rising of the standard deviation. Using a refined weighted moving average algorithm to process experimental data, the affection on the noise from measuring will reduce to 9%. The result of refined weighted moving average algorithm shows the effect of measurement noise is larger for a sample with higher thermal conductivity than a sample with lower thermal conductivity. Therefore, if a sample has higher thermal conductivity, the affection on noise must be reduced in order to maintain accuracy.
For the measurement on transversely isotropic rock in the study, the thermal conductivity of parallel isotropic plane is about twice of vertical isotropic plane in transversely isotropic rock. The maximum P-wave velocity is more than twice of the minimum P-wave velocity. On measurements of a set of orthogonal directions, the ratio of thermal conductivity is almost the same with the ratio of P-wave velocity.
關鍵字(中) ★ 熱傳導係數
★ 橫向等向性
★ 熱探針量測法
★ 誤差傳播
★ 移動平均
關鍵字(英) ★ Thermal Conductivity
★ Transversely Isotropic
★ Thermal Probe Method
★ Error Propagation
★ Moving Average
論文目次 目 錄
第1章 緒論 1
1.1 研究背景 1
1.2 研究目的 1
1.3 研究方法 1
1.4 論文架構 2
1.5 論文流程圖 3
第2章 文獻回顧 4
2.1 岩石異向性 4
2.1.1 定義 4
2.1.2 成因 4
2.1.3 異向性岩石的力學行為 5
2.1.4 橫向等向性岩石 7
2.2 基本熱學 8
2.3 熱傳導係數的定義 9
2.4 量測熱傳導係數的方法 10
2.4.1 穩態熱傳導係數量測方法 10
2.4.2 暫態熱傳導係數量測方法 11
2.4.3 熱探針法、分割棒法、與暫態平面法之比較 15
2.4.4 穩態及暫態量測熱傳導係數方法比較 17
2.5 異向性岩石熱傳導係數 18
2.6 影響岩石熱傳導係數的性質 20
2.7 與熱傳導係數相關性質 23
2.8 橫向等向性岩石熱傳導係數 25
2.9 含水量與超音波波速關係 29
2.10 誤差分析 30
2.10.1 量測誤差 30
2.10.2 誤差處理 31
2.11 實驗雜訊 32
2.11.1 濾除雜訊-簡易移動平均 32
2.11.2 濾除雜訊-加權移動平均 33
第3章 實驗規劃 34
3.1 試驗材料 34
3.2 熱傳導係數量測 37
3.2.1 實驗儀器 37
3.3 橫向等向性岩石熱傳導係數 41
3.3.1 試驗儀器 41
3.3.2 試驗步驟 42
3.4 含水量對熱傳導係數的影響試驗 45
3.4.1 試驗步驟 45
3.5 誤差分析 46
3.5.1 計算誤差 46
3.5.2 參數設計-電壓 47
3.5.3 參數設計-溫差及時間間隔 47
3.6 熱探針法的雜訊 48
3.6.1 雜訊大小 48
3.6.2 雜訊濾除 49
3.6.3 雜訊濾除改正-改良加權移動平均 50
3.6.4 模擬數據 50
3.7 超音波波速試驗 52
3.7.1 實驗儀器 52
3.7.2 試驗步驟 52
3.8 水泥砂漿棒飽和度與超音波波速試驗 54
3.8.1 實驗步驟: 54
第4章 結果與討論 55
4.1 預估誤差 55
4.1.1 儀器誤差 55
4.1.2 熱傳導係數誤差 58
4.2 參數設計-電壓 61
4.3 參數設計-溫差及時間間隔 64
4.4 實驗雜訊 73
4.4.1 雜訊影響-四線段驗證 73
4.4.2 雜訊濾除 76
4.4.3 設定MWS 80
4.5 雜訊濾除驗證 82
4.6 模擬數據驗證 83
4.6.1 權重形狀驗證 83
4.6.2 模擬數據雜訊濾除驗證 88
4.7 含水量對熱傳導係數影響 91
4.8 橫向等向性岩石熱傳導係數 93
4.9 飽和度對超音波波速影響 95
4.10 橫向等向性岩石的超音波波速 99
4.11 橫向等向性岩石熱傳導係數與超音波波速相關性 107
第5章 結論與建議 109
5.1 結論 109
5.2 建議 110
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指導教授 田永銘(Yong-Ming Tien) 審核日期 2008-12-15
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