Abstract: A reservoir simulator first estimates rock displacement parameters (u, v, and w) representing rock movement in the x, y, and z directions. When the rock displacement parameters (u, v, w) are determined, “&egr;x,y,z” (the ‘x,y,z elongation strains’) and “&ggr;xy,yz,zx” (the ‘shear strains’) are determined since “&egr;x,y,z” and “&ggr;xy,yz,zx” are function of “u”, “v”, and “w”. When “&egr;x,y,z” and “&ggr;xy,yz,zx” are determined, “&sgr;x,y,z” (the ‘elastic normal rock stress in x,y,z directions’) and “&tgr;xy,yz,zx” (the ‘elastic shear stress’) are determined since “&sgr;x,y,z” and “&tgr;xy,yz,xz” are a function of “&egr;x,y,z” and “&ggr;xy,yz,zx”.

Abstract: Simplifying a surface represented as a height field. The simplification resulting in a triangular mesh having n vertices, such that the topology of the surface is maintained in the simplified surface representation. The simplification including assigning error values to each vertex not having a missing value, identifying as required vertices those vertices that may not be removed without altering the topology of the surface; and (1) if n is less than or equal the number of required vertices, remove all other vertices or (2) if n is greater than or equal the number of required vertices, remove u-n vertices, where u is the number of vertices that do not have missing values in the original height field.

Abstract: A Distributed Framework Intertask Communication Method and Apparatus providing a method for communicating between applications using an extensible communication protocol with an intuitive user interface allowing the user to easily visualize and control the connectivity between applications. The user transmits an interest object associated with an event from a first application to a server. The server then retransmits that interest object to a second application. When the second application practices that event, information concerning the practice of that event is transmitted directly from the second application to the first application without routing that event information through the server.