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Drilling is a requisite operation for many industries to reach a targetedsubsurface zone. Loss of circulation is a common problem that often causesinterruptions to the drilling process and a reduction in efficiency. In thiswork, a semi-analytical solution and mud type-curves (MTC) are proposed tooffer a quick and accurate diagnostic model to assess the lost-circulation ofHerschel-Bulkley fluids in fractured media. Based on the observed transientpressure and mud-loss trends, the model can estimate the effective fractureconductivity, the time-dependent cumulative mud-loss volume, and the leakageperiod. The behavior of lost-circulation into fractured formation can bequickly evaluated, at the drilling site, to perform useful diagnostics, such asthe rate of fluid leakage, and the associated effective fracture hydraulicproperties. Further, novel derivative-based mud-type-curves (DMTC) aredeveloped to quantify the leakage of drilling fluid flow into fractures. Thedeveloped model is applied for non-Newtonian fluids exhibiting yield-power-law,including shear thickening and thinning, and Bingham plastic fluids. Proposingnew dimensionless groups generates the dual type-curves, MTC and DMTC, whichoffer superior predictivity compared to traditional methods. Both type-curvesets are used in a dual trend matching, which significantly reduces thenon-uniqueness issue that is typically encountered in type-curves. Data forlost circulation from several field cases are presented to demonstrate theapplicability of the proposed method. The semi-analytical solver, combined withMonte Carlo simulations, is then applied to assess the sensitivity anduncertainty of various fluid and subsurface parameters. The proposed can serveas a quick diagnostic tool to evaluate lost-circulation in drilling operations.

Lost-circulation diagnostics using derivative-based type-curves for non-Newtonian mud leakage into fractured formation