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,
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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
