By Mallet J.-L.
ISBN-10: 0195144600
ISBN-13: 9780195144604
Geomodeling applies mathematical the right way to the unified modeling of the topology, geometry, and actual houses of geological items. The method (gOcad, computing device assisted layout of geological info) is common, yet during this ebook the writer provides a brand new interpolation technique for modeling common items that enables program of quite a lot of complicated info. The viewers for the booklet might be graduate scholars and practitioners within the earth and environmental sciences.
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Extra resources for Geomodeling
Example text
There is the same number of i-cells in both partitions for alH > 0, and 2. 5). The above conditions (1) and (2) are purely combinatorial. They do not depend on "geometric properties" such as the exact shape of the cells or the dimension of the embedding space. Thus, the notion of isomorphism introduced above suggests the following concept for the topological modeling of any manifold object A associated with a given cellular partition P(A}: To each i-cell a E Pi(A), associate an arbitrary and distinct element a* called "abstract i-cell" and define the set Qi(A) as the union of all these abstract i-cells.
C) be the discrete model defined as follows: • Q is the set of all the centers of the cells. • N(a) is such that (3 G N(a) if the cells C(a) and C(/3) share a common face. • (p(oi) is an unknown physical property attached to the cell C(a) centered on the node a and assumed to be constant on C(a). • C is a set of constraints to be respected by (p. The region V is traversed by a "ray path," which consists of a given curve r traversing a series of cells {C(a} : a € Q r } corresponding to a subset of nodes Or such that 24 CHAPTER 1.
4. 4. 14 Sharpening the contrasts of the variations of a seismic amplitude in a 3D seismic cube with a backward DSI method. In practice, not to amplify any "white noise," it may be wise to smooth (f> slightly before applying the backward DSI. To this end, for example, having removed the constraints, a small number of DSI iterations can be applied. 14), in spite of its simplicity, this algorithm based on DSI produces very interesting results. ,C) be the discrete model defined as follows: • Q is the set of all the centers of the cells.
Geomodeling by Mallet J.-L.
by Michael
4.4