Volume measurement - PIX4Dsurvey

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PIX4Dsurvey's volume measurement tool measures the volume between a base surface (defined by a volume polygon) and the local TIN. As a default, this method connects all the vertices and triangulates the volume above and below the base surface. It is possible to move the vertices vertically to a different altitude.

How to create a new volume

  1. On the tools bar, select the Volume measurement tool by clicking volume_icon.png.

    PIX4Dsurvey_volume_measurement_selection.png

    Volume measurement selection.

  2. To draw a volume, left-click on points in the 3D view. Right-click or press enter to complete the volume base polygon.
  3. (Optional) To accurately mark the vertices, select the volume using the simple selection tool ic_cursor_black.png. The position of each vertex can be corrected in the 3D view, on the images, or using the vertex editor.
  4. (Optional) To assign a common elevation to the vertices of the volume base surface, first select the volume using the simple selection tool ic_cursor_black.png. Then, in the volume panel, click align vertices vertex_align.png to choose how to align the vertices.

After drawing the volume, details about the volume measurement are displayed. More specifically:

  • Name of the volume and name of the layer the volume belongs to. The name of the volume layer and color of visualization can be edited. 
  • 3D perimeter, 3D area, minimum and maximum elevation are displayed according to the drawn polygon.

    PIX4Dsurvey_volume_measurement.png

    Display of volume measurement details, after drawing the volume.

Note: A new volume layer can be added by selecting the add.png icon of the volume layers on the left sidebar. The volume can be moved to another volume or vector layer by right-clicking on it.
 
Tip: It is possible to use the Stockpile Detection tool to easily detect and create volume polygon around stockpiles.

How to compute the volume

Once the volume is drawn, in the Measurements section of the volume panel, click Compute to trigger the volume computation.

PIX4Dsurvey_compute_volume_measurement.png

Compute the cut/fill volume measurements by clicking on Compute button.

After completing the volume measurements, the cut/fill volumes and errors are displayed.

PIX4Dsurvey_computed_volume.png

Cut/fill volumes and errors are computed after completing volume measurements.

More specifically:

  • Cut volume [units3]: Volume above the volume base. The volume is measured between the volume base and the surface.
  • Fill volume [units3]: Volume below the volume base. The volume is measured between the volume base and the surface.
  • Total volume [units3]: The total volume (cut + fill volume). 
 
Important: If the polygon defining a volume is modified (adding/removing/moving vertices), a warning appears in the Volume layers list and the Export tab, indicating that the volume measurement is now outdated.
It is needed to compute the volume again to take the modifications of the volume polygon into account in the volume measurement.
WarningVolumeLayers.jpg

Warning in the Volume layers list.

WarningExportVolumes.jpg

Warning in the Export tab.

How to export a volume or volume report

After computing the (cut/fill) volume measurements, the Volume report, the volume polygon and the 3d volume are available to be exported.

PIX4Dsurvey Volume export.jpg

To export the Volume report:

  1. On the Menu bar, click File, then Export. Alternatively, on the top right, click export.jpg Export. The Export panel opens on the right.
  2. In the Export panel, select the output format (PDF, HTML, or CSV for volume reports. LandXML for the 3d volume. DXF, ZIP SHP, SHP, or GeoJSON for the volume polygon)
  3. (Optional) Unselect the output Volume layers that do not need export.
  4. In the Destination section, navigate to the path where the files should be saved.
  5. Click Export.

How PIX4Dsurvey calculates the Volume measurement

PIX4Dsurvey calculates the volume as follows:

1. A new volume is drawn. For more information on how to draw a volume: How to create a new volume. volume

A volume is drawn.

Note: PIX4Dsurvey creates the base taking into account the altitude of each vertex.

volume_base

The base of the volume.

2. PIX4Dsurvey projects a grid with GSD spacing on the base.

volume_base_grid_white

Projected grid on the base of the volume: This drawing is a sketch and does not depict the real dimensions of the grid. The grid has very small interval (the GSD).

3. For each cell i of the grid, its volume (Vi) is given by:

Vi = L* Wi * Hi

Where:

L= the length of the cell.
Wi = the width of the cell.
Hi = the height of the cell.

The Length (Li) and Width (Wi) are equal to the project's GSD.

L=W= GSD

The Height (Hi) is given by:

HiZTi - ZBi

Where: 

ZTi = the terrain altitude of each cell at the center of the cell.
ZBi = the base altitude of each cell at the center of the cell.

Therefore, the volume Viof cell i is given by:

V= GSD*GSD* (ZTi - ZBi)

 
Note:
  • ZTi is the altitude of the 3D terrain corresponding to the center of the cell i.
  • ZBi is the altitude of the base surface of the volume corresponding to the center of the cell i .
volume_pixel_3d.jpg volume_pixel_element_dimensions.jpg

Volume of one cell of the base.

4. PIX4Dsurvey calculates 2 volumes:

    • The Cut volume Vc is the volume between the base and the 3D terrain, when the terrain is higher than the base.

Cut volume = VC VC1 + VC2 +...VCN

Where:

VC1...N = Cut volume for cell i..N

    • The Fill volume Vis the volume between the base and the terrain when the terrain is lower than the base.

Fill volume = VVF+ VF2 +...VFN

Where:

VF1...N = Fill volume for cell i...N.

Note: The Fill Volume is given with negative value/sign.

 

5. The Total volume is given by:

Total Volume = VT =VCVF

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