# Consolidation and seepage solutions in enclosure space based on non-zero-constant values boundary

## TL;DR

This paper presents a method to solve consolidation and seepage issues in clay within enclosed spaces using boundary conditions and differential equations.

## Contribution

The novelty lies in using non-zero-constant boundary values and variable separation methods to model clay seepage in enclosure spaces.

## Key findings

- A differential equation was derived to model excess pore water pressure dissipation in clay.
- Contour maps of water pressure were created for various boundary conditions.
- The method accounts for spatial and temporal variations in saturated clay.

## Abstract

Research is ongoing to find solutions to the problem of Consolidation and seepage in saturated clay in enclosure space. Firstly, the boundary of non-zero-constant values is established, considering the seepage boundary of the clay is affected by pumping water or lowering boundary pressure on the site. Secondly, the differential equation is established to reflect the spatial and temporal variations of excess pore water pressure dissipation in the clay in enclosure space, and the solution is derived using variable separation methods. Finally, based on results of the solution derived, contour maps of the water pressure are drawn corresponding with the different inhomogeneous boundary conditions.