Hello Geonet:
Generally, if your embankment is not constructed on peat/muskeg and your height of fill doen not induce slope stability failure, you will not experience significant lateral squeeze. You may wish to simply establish your critical failure circle based on your embankment height and use this to determine if your bridge piles are within this zone. Even if they are within then, if you are not down to FOS close to 1, your piles should/would not be subjected to any significant lateral forces. Generally, the incidence of lateral squeeze in minimal at FOS of 1.25 or greater. The worst situation for your piles is when the approach fill is unstable due to slope instability.
It seems that you are concerned about pier piles rather than abutment piles and the discussion above also pertains to this type of pile which may be associated with a three span structure.
It appears that you have a FOS of 1.25 to 1.4 min using the classical bearing capacity failure approach for undrained condition. These values could even be larger, if other aspects are taken into consideration.
From my past experience, I see no problems with your piers or abutments outside or within the approach fill.
The work of Tavenas and most literature information concentrate on abutments within the fill and hence are directly subjected to the effects even minor laterally induced movements.
Now for some references. I note that you have done some literature review. Have you looked at a publication by the Maine Department of Transportation entitled "Evaluation of Lateral Squeeze", Final Report, Technical Report 91-3, October 1994, by Thomas C. Sandford of Dept of Civil Engineering University of Maine. This would be worthwhile reading if you have not done so as yet, as it provides many pertinent references.
Please note that the above is based on my personal experience which may or may not be applicable to your situation. Very often my approach is based on detailed site observations and evaluation, and of what is to be built and how it is to be undertaken along with calculations on the back of a "cigarette pack"/scratch pad. Sometimes one can avoid problems by recommending construction sequencing etc.
In one instance on how construction approach makes a difference is one in which I was involved in the geotechnical investigation, evaluation and assessment of a 20 m high fill constructed on soft ground for an overpass over CNR mainline tracks which were very close to the toe of fill. The use of a sand wedge at the toe installed before placement of approach fill helped to prevent the possible lateral movement of the tracks which was a concern. This site was monitoted at the time of construction with slope indicators etc and is still functioning satisfactorily now some 17 years later.
Good Luck and
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