Abstract
The present paper shows a highly accurate analytical method utilizing complex variable method and point matching technique for the problem of two neighboring elliptical tunnels excavated in anisotropic elastic ground under 3-dimensional loading conditions, and describes the theoretical process of back analysis using this solution. The elastic characteristics of rock mass are assumed to be orthogonal anisotropy such as existing the principal axis of elasticity in x-y plane, and five stress components (σ∞x, σ∞y, τ∞xy, τ∞yz, τ∞zx) of in-plane and out-of-plane with respect to the tunnel axis (z-axis) are treated in this analytical theory. The 3-dimensional principal stresses (σ∞1, σ∞2, σ∞3) acting from arbitrary directions in the ground are determined using the results of this back analysis and measured stress of σ∞z by in-situ flat jacking technique and so on. The usefulness of this method is additionally shown through some numerical examples in this paper.
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