Integrated Volume
The Grids | Calculate | Calculus differential and integral operator, Integrated Volume, gives the accumulated volume over the grid from the southwest to the northeast corner, or over a subgrid from southwest to northeast. This method can calculate volumes over
Mathematically, the integrated volume is defined by
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Consider a surface defined over a rectangular region extending from X min to X max and Y min to Y max:
V(x,
The Integrated Volume option enables easy computation of volumes under rectangular subgrids. For example, the volume under the shaded area in the figure below is simply V(xr,
The integral of the bilinear form over the grid cell is the average value of the four corners times the area of the grid cell. Therefore, the underlying formula is