I have been watching this thread as I have a lot of interest in the subject. Piping, oftentimes vertical, is a significant problem in alluvial/colluvial soils in Western Colorado. Unfortunately, it is not well recognized as problems with compressible and collapsible alluvial/colluvial soils, possibly overlying expansive formations tends to keep the mind focused.
The issue of potential dispersive properties complicates the issue. As BigH notes, the examples can be spectacular. A note about the Pinhole test, ASTM D 4647:
It is a good test but, a review of the Standard, notably Sections 5 (Significance and Use) & 6 (Limitations) provides a reality check.
Dispersive Soils can be identified but no computation methods are produced. To my knowledge, you will continue to be on the 'Frontiers of Science" when dealing with soil piping. The above posting by fattdad to 'draw a flow net' is appropriate.
The Pinhole test, along with the Double Hydrometer (ASTM D 4221) and the Crumb (ASTM D 6572) methods can usually (note usually, not always) identify a Dispersive Soil. The problem comes when you have a soil with Dispersive-Like characteristics.
Regarding soil with Dispersive-Like characteristics, which has apparently been the condition I usually encounter, I have an old reference from my Father's Library.
ASTM STP 623, 1977, Dispersive Clays, Related Piping and Erosion in Geotechnical Projects, Sherard/Decker, editors.
The chapter by Daniel Resendiz, Relevance of Atterberg Limits in Evaluating Piping and Breaching Potential, has been helpful in my circumstances. The discussion section describes observations by Resendiz relating observed piping in small dams to values of clay activity (Skemptons Activity, [plasticity index / percent clay, 0.02mm]). Resendiz observed that "...all the dams whose failure was attributed to one of these mechanisms {piping and breaching} have clay activity between 0.3 and 1.1".
As my Father insisted on the Hydrometer analysis being required, I have 35 years of data in Western Colorado, Southwest Wyoning & Eastern Utah. In all cases of soil piping in soils with low water flows (at least initially) I find the Resendiz criteria of clay activity between 0.3 and 1.1 to be applicable for identifications of soil with Dispersive-Like characteristics.
Does anyone have any other published references???????