受岩盤影響之等斜率下切地貌：實驗、數值模擬與應用於崩塌和沖積扇

台灣以多變的地勢、形貌聞名。豐富的地理條件孕育出下切型的地貌，例如河谷以及集水區。本論文係探討下切型地貌之形成，以及其過程受岩盤的影響。下切型地貌的表面具有幾何特徵，透過程函方程與等斜率面假設能夠求得解析解。此研究研發出一套數值方法，能夠模擬受到岩盤影響的下切地貌，並且以實驗驗證模擬結果。結果顯示數值方法有能力重現下切型地貌的演變歷史，並具有潛力能夠預測形貌的未來變化。

關鍵字

下切型地貌；岩盤；程函方程；等斜率面；數值方法；實驗

並列摘要

Taiwan is famous for its variety of morphological landscape evolutions. Such geomorphology features incising landforms like river valleys or watersheds. This thesis focuses on the formation of the incisional landforms subjected to bedrock substrates. The mathematical properties of incisional landforms surfaces can be analyzed using the eikonal equation with the constant slope surface assumption. A numerical incision model is developed to simulate constant slope surfaces with substrate constraints and has been verified by laboratory experiments. The results suggest that the numerical model is capable of reproducing the history of the incisional landforms and has the potential to help predict the geomorphological features in the field.

並列關鍵字

incisional landforms ； bedrock substrate ； eikonal equation ； constant slope surface ； numerical incision model ； laboratory experiment

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