Space-Time mathematical Framework for Sedimentary Geology

@inproceedings{MalletRM2003,
 abstract = { Interpolating physical properties in the sub-surface is a recurrent problem in geology. In sedimentary geology, the geometry of the layers is generally known with a precision much superior to that one can reasonably expect the properties. As a consequence, it may be wise to model first the geometry of the layers and then, "simplify the geologic equation" by removing the influence of that geometry. Inspired from the work of H.E. Wheeler on "Time-Stratigraphy", we define, mathematically, a new space where all horizons are horizontal planes and where faults, if any, have disappeared. We surmise that this new space, however approximative, is better to model physical properties of the subsurface whatever the subsequent interpolation method used. The proposed mathematical framework also provides solutions to complex problems such as determination of strains resulting from tectonic events and up-scaling of permeabilities on structured and unstructured grids. },
 author = { Mallet, Jean-Laurent },
 booktitle = { 23th gOcad Meeting },
 month = { "june" },
 publisher = { ASGA },
 title = { Space-Time mathematical Framework for Sedimentary Geology },
 year = { 2003 }
}