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STABILITY ANALYSIS OF ONE-DIMENSIONAL CONSOLIDATION EQUATIONS OF A SATURATED SOIL MASS

Zhu Suping, Sun Jun

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Abstract

The stability of one-dimensional consolidation equations of a saturated soil mass under the action of additional stress is analysed in this paper by using control theory of distributed parameter systems and semigroup theory. It is proved that the value of interior void water stress will change to become similar to that at boundary surface regardless of the value of initial interior void water stress. The soil mass will become stable gradually by consolidation settlement.

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What this paper is about

The stability of one-dimensional consolidation equations of a saturated soil mass under the action of additional stress is analysed in this paper by using control theory of distributed parameter systems and semigroup theory. It is proved that the value of interior void water stress will change to become similar to that at boundary surface regardless of the value of initial interior void water stress. The soil mass will become stable gradually by consolidation settlement.

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Available abstract

The stability of one-dimensional consolidation equations of a saturated soil mass under the action of additional stress is analysed in this paper by using control theory of distributed parameter systems and semigroup theory. It is proved that the value of interior void water stress will change to become similar to that at boundary surface regardless of the value of initial interior void water stress. The soil mass will become stable gradually by consolidation settlement.

Key concepts: Consolidation (business), Geotechnical engineering, Void ratio, Mathematics, Pore water pressure, Boundary value problem, Geology, Mathematical analysis

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