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===Bounding Surfaces That Define Rock Volume===

===Bounding Surfaces That Define Rock Volume===

Each set of shoreline clinoforms is contained within a distinct, upward-shallowing, regressive succession, or parasequence (sensu Van Wagoner et al., 1990; Hampson et al., 2008), that is bounded at its base and top by flooding surfaces. Multiple clinoforms exist within each parasequence. Because the algorithm is generic, any top and base bounding surfaces can be used; the only requirement is that the top bounding surface is entirely above, or coincident with, the base bounding surface across the model volume ([[:File:BLTN13190fig1.jpg|Figure 1A–C]]). By using the flooding surfaces at the top and/or base of a parasequence as reference surfaces, the algorithm can produce clinoforms that are modified by postdepositional folding and faulting ([[:File:BLTN13190fig2.jpg|Figure 2A]]), truncation by overlying erosion surfaces ([[:File:BLTN13190fig2.jpg|Figure 2B]]), and/or progradation over irregular sea-floor topography ([[:File:BLTN13190fig2.jpg|Figure 2C]]). The parasequence-bounding flooding surfaces are first read into the clinoform-modeling algorithm, using a standard gridded format exported from a reservoir modeling software package. Clinoforms created by the algorithm adapt to the morphology of either (or both) bounding surfaces, using a height function, BLTN13190eq1 ([[:File:BLTN13190fig2.jpg|Figure 2D]]), that calculates the height of the clinoform relative to the length along the clinoform surface and the height difference between the top and base bounding surfaces (see Table 1 for nomenclature):  

Each set of shoreline clinoforms is contained within a distinct, upward-shallowing, regressive succession, or parasequence (sensu Van Wagoner et al., 1990; Hampson et al., 2008), that is bounded at its base and top by flooding surfaces. Multiple clinoforms exist within each parasequence. Because the algorithm is generic, any top and base bounding surfaces can be used; the only requirement is that the top bounding surface is entirely above, or coincident with, the base bounding surface across the model volume ([[:File:BLTN13190fig1.jpg|Figure 1A–C]]). By using the flooding surfaces at the top and/or base of a parasequence as reference surfaces, the algorithm can produce clinoforms that are modified by postdepositional folding and faulting ([[:File:BLTN13190fig2.jpg|Figure 2A]]), truncation by overlying erosion surfaces ([[:File:BLTN13190fig2.jpg|Figure 2B]]), and/or progradation over irregular sea-floor topography ([[:File:BLTN13190fig2.jpg|Figure 2C]]). The parasequence-bounding flooding surfaces are first read into the clinoform-modeling algorithm, using a standard gridded format exported from a reservoir modeling software package. Clinoforms created by the algorithm adapt to the morphology of either (or both) bounding surfaces, using a height function, h(r_c) ([[:File:BLTN13190fig2.jpg|Figure 2D]]), that calculates the height of the clinoform relative to the length along the clinoform surface and the height difference between the top and base bounding surfaces (see Table 1 for nomenclature):  

:<math>EQUATIONS/BLTN13190eqd1</math>

:<math>h(r_c) = (h_{\text{max}}(r_c) - h_{\text{min}}(r_c)) - \left[ \frac{(r_c(x, y) - r_{\text{min}}(x, y))}{(r_{\text{max}}(x, y) - r_{\text{min}}(x, y)} (h_{\text{max}}(r_c) - h_{\text{min}}(r_c)) \right ]</math>

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