異質多孔介質指形流的動態壓力特性

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郭旻宜(MI-YI KUO) 查詢紙本館藏

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論文名稱

異質多孔介質指形流的動態壓力特性
(Dynamic Pressure Characteristics of Heterogeneous porous media finger flows)

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摘要(中)

指形流為一種時常發生於土壤或岩層中的流動型態，兩種不同黏度的流體界面上會產生不穩定的現象，因其形狀與手指相似，故稱之為指形流。本文使用異質多孔介質為實驗模型模擬岩層中低黏度流體驅替高黏度流體的現象。實驗使用水平矩形Hele-Shaw cell系統為載台，並利用微機電製程的光刻技術於兩平板間設置兩種不同粒徑大小之顆粒。實驗觀察低黏度流體(空氣)驅替孔隙中高黏度流體(甘油水溶液)的過程中，探討其壓力的變化，並進行定量的分析。實驗設計四種不同粒徑之光刻顆粒、四種不同濃度的甘油水溶液，分析不同的空氣注入流率對於不同濃度的甘油水溶液在四種多孔介質中之結果。
本文提出低黏度流體(空氣)於多孔介質中壓力梯度的半經驗擬合式，此公式搭配先前學者提出高黏度流體(甘油水溶液)壓力梯度的公式能更清楚描述多孔介質內黏性指形發生後的動態壓力變化。實驗也發現異質孔徑界面上之壓差會隨著黏度與速度的提高而降低，此界面壓差亦能以半經驗公式來描述。

摘要(英)

Finger flow often occurs in the soil or rock structure. The fluid interface of two fluid with different viscosities will evolve into an unstable phenomenon. Because the interfacial shape is similar to fingers, so it is called a finger flow. In this paper, heterogeneous porous media is used as an experimental model to investigate the phenomenon for a low-viscosity fluid displaces a high-viscosity fluids in rock formations. The experiment apparatus is a horizontal rectangular Hele-Shaw cell system, and lithography technology of MEMS was used to set two porous media of different particle sizes. In the process of the low-viscosity fluid (air) displacing the high-viscosity fluid (glycerin aqueous solution) through the pores, the pressure changes were investigated and quantitatively analyzed. The experiments were conducted with four different sizes of particles and four different concentrations of glycerin aqueous solution to analyze the results of different air injection flow rates.
The paper presents a semi-empirical fit of the pressure gradient of a low viscosity fluid (air) in a porous medium. This formula combine with previous studies in literature can be used to more clearly describe the dynamic pressure change after the occurrence of viscous finger in porous media. The experiment also found that the pressure difference at the interface of the heterogeneous pore size decreases with the increase of viscosity and velocity. The pressure difference at this interface can also be described by a semi-empirical formula.
Keywords: porous medium, heterogeneous pore-scale boundary, fingering flow.

關鍵字(中)

★ 多孔介質
★ 異質孔徑界面
★ 指形流

關鍵字(英)

論文目次

中文摘要 i
Abstract ii
符號說明 iii
英文字母 iii
希臘字母 iv
上下標 iv
目錄 v
圖目錄 viii
表目錄 xvi
第一章緒論 1
1.1 研究動機 1
1.2 文獻回顧 2
1.3 研究目的 5
第二章實驗系統 14
2.1 多孔介質微模型 14
2.2 訊號擷取系統 14
2.2.1 壓力量測裝置 14
2.2.2 NI訊號擷取裝置 15
2.3 流體驅動系統 15
2.4 影像輔助系統 16
2.4.1 照明光源裝置 16
2.4.2 影像觀測裝置 16
第三章實驗方法 18
3.1 顆粒光刻製程 18
3.2 不同粒徑比、黏度流體組合 18
3.3 壓力量測 19
3.3.1 動態壓力量測 19
3.3.2 推估滲透度 19
3.3.3 推估多孔介質毛細壓力 20
第四章結果與討論 26
4.1 多孔介質動態壓力 26
4.1.1 動態壓力變化過程 26
4.1.2 操作流率變化之影響 28
4.1.3 粒徑比變化之影響 28
4.1.4被驅替流體(甘油水溶液)濃度變化之影響 29
4.2 黏性指形壓降 29
4.2.1 兩相流黏滯壓降 29
4.2.2 驅替流體黏滯壓降 30
4.2.3 流體之相對滲透度 31
4.3 異質孔徑界面壓差 32
4.3.1 操作流率變化對界面壓差之影響 32
4.3.2 粒徑比變化對界面壓差之影響 33
4.3.3 被驅替流體(甘油水溶液)濃度變化對界面壓差之影響 33
4.3.4 影響界面壓差之參數分析 34
第五章結論與未來展望 74
5.1 結論 74
5.2 未來展望 74
參考文獻 76

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指導教授

鍾志昂

審核日期

2019-1-29

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