Systems and methods for computing surface of fracture per volume of rock

A system, comprising:

• a. a downhole resistivity tool for measuring resistivity of a formation;
• and,
• b. a processor including machine-readable instructions for generating a borehole image from resistivity measurements, wherein the borehole image comprises a zonal resistivity map, and estimating surface of fracture per volume of rock (P32) from the borehole image wherein the estimation comprises
• i. extracting linear segments corresponding to fractures from the borehole image;
• ii. defining a set of angular classes;
• iii. sorting the segments by angular class;
• iv. calculating a cumulated segment length for each angular class to obtain an actual distribution of cumulated segment length over angular class;
• v. correlating the actual cumulated segment length distribution with a theoretical segment length distribution for each of the angular classes to obtain the length of fracture segment per surface of borehole (P21) contributions of each angular class (P21(x→y));
• vi. computing a surface of fracture per volume of rock P32 for each angular class (P32(x→y)) from each P21(x→y);
• and, vii. summing together the computed P32(x→y) to arrive at a total P32 (P32(tot)).