Apparatus and methods for making azimuthal resistivity measurements
A method of data binning includes the steps of partitioning a circumference of a tool face into M number of sectors, defining each data point relating to resistivity information by a fidelity function g(Φ), assigning to each data point a weight for each of the M number of sectors, wherein the weight is associated with an integral of the fidelity function g(Φ) over the sector, and computing an average of the data points weighted by their respective weights for each of the M sectors.
1. A method of data binning comprising:
partitioning a circumference of a tool face into M number of sectors;
defining each data point relating to resistivity information by a fidelity function g(Φ);
assigning to each data point a weight for each of the M number of sectors, wherein the weight is associated with an integral of the fidelity function g(Φ) over the sector; and
computing an average of the data points weighted by their respective weights for each of the M sectors.
2. A method of data binning comprising:
acquiring data at multiple tool face angles;
partitioning a circumference of the tool face into M number of sectors;
defining each data point relating to resistivity information by a fidelity function g(Φ);
assigning to each data point a weight for each of the M number of sectors, wherein the weight is associated with an integral of the fidelity function g(Φ) over the sector; and
computing an average of the data points weighted by their respective weights for each of the M sectors.
3. The method of claim 2 , wherein acquired data is regularly distributed in a tool face domain.
4. The method of claim 2 , wherein acquired data is irregularly distributed in a tool face domain.
5. The method of claim 2 , wherein a rotation speed of the tool face is varied.
6. The method of claim 2 , wherein a total of the M sectors are formed to cover the entire tool face angle range of 0° to 360°.
7. The method of claim 2 , wherein a data point that resides close to a boundary between adjacent sectors contributes a value to binned values of both sectors.
8. The method of claim 7 , wherein a data point that resides on the boundary between two adjacent sectors is split into the two adjacent sectors.
9. The method of claim 7 , wherein a data point that resides within one sector but is within a range of uncertainty to the boundary is assigned to both adjacent sectors with different weights.
10. The method of claim 9 , wherein the range of uncertainty is within at least one degree of the tool face angle.
11. The method of claim 9 , wherein the range of uncertainty is within at least three degrees of the tool face angle.
12. The method of claim 9 , wherein the range of uncertainty is within at least five degrees of the tool face angle.