Phenomena in nature can be modeled with linear or non-linear differential
equations. To solve these equations, various numerical methods can be used, and in
this thesis, in order to model the amount of soil surface settlement and pore water
pressure due to the withdrawal of groundwater from Biot's equation, the differential
quadrature method is used to solve it. The aim of this thesis is to develop the DQ
method to analyze Biot's equation and predict surface settlement and pore water
pressure. Quadrature differential method is a numerical method with high capability
and potential because it approximates the differential equations governing the
problem as a linear and weighted sum of function values at specific points and is a
high-order method that is often used for problems It is used with regular geometry.
After the discretization of the governing equations by the differential quadrature
method, the differential balance equations are converted into algebraic equations.
This method has been converted into a computer code by MATLAB software, and
various types of surface settlement and pore water pressure diagrams have been
investigated by examining various parameters, including the effects of the water
pumping radius in relation to the water withdrawal depth (a/h), which has a direct
relationship with the settlement. Poisson's ratio, which has an inverse relationship
with the amount of settlement, water output flow, which has a direct relationship
with pore water pressure, and shear modulus, which has an inverse relationship with
ground settlement, have been obtained. In order to compare the results obtained
with the finite element method, the studies of previous researchers have been used,
and the results indicate the high accuracy and consistency of the differential
quadrature method in solving the Biot equation.