當使用有限元素法模擬開挖時，不適當的邊界範圍會使分析結果受到網格邊界的影響而得到不正確的數值解，因此在決定模型之大小時，必需選定ㄧ適當的有限元素模型寬度，以期減小邊界造成分析結果的不正確。目前而言，有限元素模型之寬度決定往往仰賴分析人員經驗的主觀判斷，沒有一個客觀的標準供分析人員參考。然而過窄的網格會造成分析結果的不正確，過寬的網格則會造成計算資源浪費，且當一網格邊界訂定後其所造成的實際誤差往往未知。本研究透過大量的有限元素開挖分析進行參數化研究，以找出各種模型建立參數與網格尺寸及網格邊界引致誤差百分比之間的關係。本研究透過迴歸分析建議一網格寬度經驗公式，可以用來協助工程師決定網格大小的依據，並可用來瞭解邊界引致之誤差量。

Inappropriate boundary extent in finite element (FE) excavation analyses can result in inaccurate numerical solutions, and therefore it is necessary to determine a reasonable model width in such analyses to minimize boundary-induced numerical inaccuracies. In current practice, this appropriate FE model width is often based on engineering judgment without objective criteria. However, overly narrow model width will yield incorrect numerical solution, and overly wide model width will result in unnecessary waste of computation resources. Furthermore, the actual mesh-induced error is unknown in such practice. In this work, parametric studies on massive amount of FE models were conducted in order to establish relationships between model parameters and mesh-boundary induced errors. Through regression analyses, an empirical correlation were obtained and suggested to assist engineers in determining model width. The suggested empirical correlation can also be used to get a quantitative understanding of mesh-induced errors.

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