Method and system for determining depths of drill cuttings

A system for determining depths of provenance of drill cuttings contained in a drilling fluid received from a wellbore, the drilling fluid containing drill cuttings of different sizes that emerge from the wellbore at different recorded times, the drill cuttings originating from different formation layers at different depth along the wellbore, the system comprising:

• a drill cutting extraction unit for repeatedly extracting first samples of drill cuttings from the drilling fluid, to provide a plurality of first samples of drill cuttings that arrive at the Earth's surface at different recorded times, wherein the drill cuttings in the first samples are smaller than a first predetermined threshold;
• a sample analyzer for characterizing drill cuttings in the plurality of first samples, wherein characterizing drill cuttings in the plurality of first samples comprises characterizing one or more formation attributes associated with said drill cuttings of the first samples;
• and
• a computer processor programmed to carry out instructions comprising:
• for each of the one or more formation attributes characterized, estimating a distribution of formation attribute characterization versus depth of provenance, wherein estimating the distribution comprises solving a set of equations, including an advection-diffusion equation, which define a hydrodynamic transport within the drilling fluid of the drill cuttings characterized, including the effect of diffusion and dispersion on the hydrodynamic transport.