The response of fluid-saturated porous media to moving surface load is
important in many fields of engineering and physics. The approach out
lined in this paper represents an attempt at expanding the state-of-th
e-art in the estimation of the dynamic response of a layered nonlinear
soil deposit subjected to a moving load. A more computationally effic
ient semianalytical method based on Biot's formulations for porous med
ium is proposed for loads under plane-strain conditions. It is a conti
nuum-based approach that uses a Fourier transform technique in which t
he soil deposit can be saturated, unsaturated, or a combination of bot
h. The approach can handle complex surface loading, such as multiple l
oads, nonuniform pressures, and other types of time-varying loads. Thi
s paper (Part I) presents the formulation, and a companion paper (Part
II) presents the application of this approach in which the predictive
capability of the model and the associated computer code are verified
using laboratory model tests and classical solutions.