Systems and methods to build sedimentary attributes
View Patent ↗A method and system for computing and visualizing sedimentary attributes may include receiving, by a processor, paleo-geographic coordinates representing predicted approximate positions of particles of sediment deposited at a time period when a layer was originally formed. The processor may numerically compute or determine a sedimentation rate that varies laterally along the layer. The processor may determine a sedimentary attribute based on the lateral variation of the sedimentation rate along the layer with respect to the paleo-geographic coordinates. A monitor or display may display the sedimentary attribute of the layer in the present-day geological space.
1. A method to visualize geological attributes that represent geological properties of particles of a geological layer, the method comprising:
in one or more computer processors:
receiving, based on measured geological data of the particles of the geological layer in a present-day configuration of the geological layer in present-day geological coordinates, a pair of paleo-geographic coordinates representing predicted positions of the particles of the geological layer deposited at a time period when the geological layer was originally formed;
determining a vector field tangent to Iso-Paleo-Geograhic (IPG) lines, wherein IPG lines represent particles of sediments which have been deposited at the same values of the paleo-geographic coordinates;
determining a vector field of curvature of the IPG-lines deduced from the vector field tangent to the IPG lines; and
displaying on the geological layer or on a cross-section the geological attribute representing the curvature vector field of the IPG-lines or a function derived from the curvature vector field of the IPG-lines within the geological layer with respect to the present-day geological coordinates.
2. The method of claim 1 , wherein the curvature vector field of the IPG-lines through a given point is a function of the derivative of the unit vector tangent to the IPG-line with respect to an arc-length abscissa along the IPG-line passing through the point.
3. The method of claim 1 , wherein the function derived from the curvature vector field of the IPG-lines is the length of the curvature vector field of the IPG-lines.
4. The method of claim 1 , wherein the function derived from the curvature vector field of the IPG-lines is the divergence of the curvature vector field of the IPG-lines.
5. The method of claim 1 , wherein a curvature vector of an IPG-line passing through a given point is a function of the derivative of the unit vector tangent to the IPG-line defined as the unit vector orthogonal to the gradients of the two paleo-geographic coordinates.
6. A system to visualize geological attributes that represent geological properties of particles of a geological layer, the system comprising:
one or more computer processors configured to:
receive, based on measured geological data of the particles of the geological layer in a present-day configuration of the geological layer in present-day geological coordinates, a pair of paleo-geographic coordinates representing predicted positions of the particles of the geological layer deposited at a time period when the geological layer was originally formed;
determine a vector field tangent to Iso-Paleo-Geograhic (IPG) lines, wherein IPG lines represent particles of sediments which have been deposited at the same values of the paleo-geographic coordinates;
determine a vector field of curvature of the IPG-lines deduced from the vector field tangent to the IPG lines;
display on the geological layer or on a cross-section the geological attribute representing the curvature vector field of the IPG-lines or a function derived from the curvature vector field of the IPG-lines within the geological layer with respect to the present-day geological coordinates.
7. The system of claim 6 , wherein the one or more computer processors are configured to deduce a curvature vector of an IPG-line passing through a given point from the derivative of the unit vector tangent to the IPG-line defined as the unit vector orthogonal to the gradients of the two paleo-geographic coordinates.
8. The system of claim 6 , wherein the one or more computer processors are configured to determine the curvature vector field of the IPG-lines through a given point as a function of the derivative of the unit vector tangent to the IPG-line with respect to an arc-length abscissa along the IPG-line passing through the point.
9. The system of claim 6 , wherein the one or more computer processors are configured to derive the function from the curvature vector field of the IPG-lines to be the length of the curvature vector field of the IPG-lines.
10. The system of claim 6 , wherein the one or more computer processors are configured to derive the function from the curvature vector field of the IPG-lines to be the divergence of the curvature vector field of the IPG-lines.