地盤の三相系浸透－変形連成問題の数値解析手法への展開
土、水、空気の三相から成る混合体理論に基づき、不飽和地盤のモデル化を行った。各相における運動量保存則を足し合わせることによって相全体のつりあい式を求め、そのつりあい式を増分型境界値問題として定式化した。また、各相における質量保存則を考慮し、固相と液相の質量保存則を用いて液相の連続式を、また、固相と気相の質量保存則を用いて気相の連続式を導いた。定式化した支配方程式に基づき、浸透－変形連成問題の有限要素法による数値解析手法への展開を図り、地盤の円孔掘削を例とした掘削問題への適用を行った。
A Development to Numerical Analysis Method of Three-Phase Seepage-Deformation Coupled Problem in Ground
The governing equations for unsaturated ground have been formulated based on the theory of three-phase mixture in which a ground is assumed to be composed of soil, water and air. The equilibrium equation for whole phase has been obtained by summing up law of conservation of momentum in each phase and its equilibrium equation has been formulated as an incremental boundary value problem. Considering law of mass conservation in each phase the continuity equation of liquid phase has been obtained by using law of mass conservation in solid and liquid phases, and the continuity equation of gaseous phase has been obtained by using law of mass conservation in solid and gaseous phases. A seepage-deformation coupled problem has been developed to numerical analysis method by finite element method based on the formulated governing equations and it has been applied to an excavation problem of circle hole in the ground as an example.
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