There are a number of advantages to be gained by representing the oedometric compression of a soil skeleton, during virgin loading, unloading and subsequent reloading by`log (v) versus log (p?)' relationships rather than the conventional`e versus log10 ( p?)' expression. The paper presents an augmented version of the basic, two parameter (C? c, C? s),`log (v) versus log (p?)' model in which the addition of two further parameters (C? r, C? o) enables a complete, nonlinear response for any load-unload-reload cycle to be reproduced. All four parameters, deduced from a single such cycle in an oedometer, can then be used to predict the response of the sample in any other unload-reload cycles. Results are presented from tests of this kind on a range ofˆne-grained soils to demonstrate the key attributes of the model. These include the generation of`log (mv) versus log (p?)' diagrams that furnish practically useful mv values applicable throughout any unload-reload cycle. The model also provides a simple means of assessing the overconsolidation ratio of an undisturbed soil sample.