Thanks DRC1, I appreciate your response.
I am looking for a way to quantify the reduction in Kp due to the presence of a berm + a slope and from there translate that into an equivalent spring. The means to do that when a slope is present is indeed available through coulomb, caquot and keriesel, etc... but not for the berm.
There is a procedue described in Bowles and a similar one in the NAVFAC manual for a footing on a slope with or without a berm. This procedure produces reduced bearing capacity factors (Nc, Nq, Nq), which is allright. One of the required parameters is the ratio of the berm to the footing's width (b/B) and embedment depth to footing width (Df/B). In principle it looks as if I could apply this to a shoring problem but the difficulty lies in deciding on the width parameter (B) to be used in the formula. Perhaps one way would be to use an approach similar to what is used when calculating a factor of safety against a bearing capacity failure in front of the wall (e.g. terzaghi). It would be nice to have something else to compare and consider.
cheers.