geotech, there are different levels of details in determining pile displacements thru soil reaction, the simplest one, that I know, is the representation of a single spring for every degree of freedom.
That is, you represent pile displacement at the pile cap, one vertical spring, one horizontal, one torsional one rocking spring and maybe others depending on simmetry.
Gazetas 1991, in Feng: Foundation Engineering Handbook, is my favourite reference, a section is dedicated to the spring stiffnes of pile(cap)s, also called impedence when are related to dynamic conditions.
as UKbridge hints, stiffness of single pile must reduced when it belongs to a pile group.
UKbridge, as far as I know Wallap is used for soldier pile walls, do not know if it deals with isolated or foundation piles...