Measurement-while-drilling assembly using real-time toolface oriented measurements

A method of determining a parameter of interest of a medium proximate to a borehole using a rotating assembly in said borehole, the method comprising:

• (a) obtaining information about a tool-face angle of the assembly during rotation thereof;
• (b) using a directionally sensitive evaluation device for obtaining measurements indicative of the parameter of interest, said measurements being obtained separately over a plurality of specified time intervals;
• (c) determining from said obtained information and said measurements of the directionally sensitive evaluation device, partially processed measurements indicative of the parameter of interest over a plurality of sectors of said tool face angle;
• and
• (d) approximating said partially processed measurements by a series expansion that includes a sinusoidal variation with said tool face angle.

A method of obtaining a processed image of a borehole in an earth formation using a rotating downhole assembly in said borehole, the method comprising:

• (a) obtaining information about a tool-face angle of the assembly during rotation thereof;
• (b) using a directionally sensitive evaluation device for obtaining measurements indicative of a property of said earth formation at a plurality of tool-face angles;
• (c) repeating (a) and (b) at a plurality of different times and obtaining a raw data set;
• (d) fitting said raw data set at each of said plurality of different times with a fitting function to obtain a partially processed data set;
• (e) applying a low pass filter to said partially processed data set at each of said plurality of tool-face angles and defining a fully processed data set;
• and
• (f) displaying said fully processed data set as an image.