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Three-dimensional modeling of clinoforms in shallow-marine reservoirs (view source)
Revision as of 15:00, 23 October 2015
, 15:00, 23 October 2015→Plan-View Clinoform Geometry
As the algorithm is generic, the user can specify the shape of an ellipse that approximates the plan-view geometry of clinoforms ([[:File:BLTN13190fig4.jpg|Figure 4A]]). Using an ellipse, rather than a radial geometry, allows the user to specify a wide range of plan-view clinoform geometries using a simple function, depending on the interpreted environment of deposition and scale of shoreline curvature. Two ellipses are used: the top ellipse represents the shoreline at the clinoform top, and the base ellipse represents the maximum extent of the clinoform at its downlap termination on the underlying sea floor. The user defines the length of the top and base ellipses in depositional dip and strike directions (t<sub>s</sub>, t<sub>D</sub>, b<sub>s</sub>, b<sub>D</sub>; [[:File:BLTN13190fig4.jpg|Figure 4B]], Table 1) relative to the origin of the clinoform. The difference between the user-defined maximum extents of the top and base ellipses yields the clinoform length L ([[:File:BLTN13190fig4.jpg|Figure 4D]]). The maximum extent of the top and base ellipses can then be defined as
As the algorithm is generic, the user can specify the shape of an ellipse that approximates the plan-view geometry of clinoforms ([[:File:BLTN13190fig4.jpg|Figure 4A]]). Using an ellipse, rather than a radial geometry, allows the user to specify a wide range of plan-view clinoform geometries using a simple function, depending on the interpreted environment of deposition and scale of shoreline curvature. Two ellipses are used: the top ellipse represents the shoreline at the clinoform top, and the base ellipse represents the maximum extent of the clinoform at its downlap termination on the underlying sea floor. The user defines the length of the top and base ellipses in depositional dip and strike directions (t<sub>s</sub>, t<sub>D</sub>, b<sub>s</sub>, b<sub>D</sub>; [[:File:BLTN13190fig4.jpg|Figure 4B]], Table 1) relative to the origin of the clinoform. The difference between the user-defined maximum extents of the top and base ellipses yields the clinoform length L ([[:File:BLTN13190fig4.jpg|Figure 4D]]). The maximum extent of the top and base ellipses can then be defined as
:<math>b_s = t_s + L \: \: \: \: \: \: \: \: (2)</math>
:<math>b_s = t_s + L</math>
and
and
:<math>b_D = t_D + L \: \: \: \: \: \: \: \: (3)</math>
:<math>b_D = t_D + L</math>
The clinoform is generated in the volume between the top and base ellipses ([[:File:BLTN13190fig4.jpg|Figure 4A, B]]). In this volume, the radius of each point on the clinoform, BLTN13190eq45 (Table 1), is calculated relative to the clinoform origin (BLTN13190eq46), using
The clinoform is generated in the volume between the top and base ellipses ([[:File:BLTN13190fig4.jpg|Figure 4A, B]]). In this volume, the radius of each point on the clinoform, BLTN13190eq45 (Table 1), is calculated relative to the clinoform origin (BLTN13190eq46), using
:<math>r_c(x,y) = \sqrt{(x_{\text{origin}} - x)^2 + (y_{\text{origin}} - y)^2} \: \: \: \: \: \: \: \: (4)</math>
:<math>r_c(x,y) = \sqrt{(x_{\text{origin}} - x)^2 + (y_{\text{origin}} - y)^2}</math>
At each point on the clinoform, the radius of the top ellipse relative to the clinoform origin is calculated using
At each point on the clinoform, the radius of the top ellipse relative to the clinoform origin is calculated using