Similar construction method for non-Newtonian power-law fluid seepage models with elastic outer boundary conditions

Article Multidisciplinary Sciences

Analysis of flow characteristics of the dual media shale gas reservoir with the elastic outer boundary

Peng-she Zheng et al.

Summary: The paper introduces an elastic outer boundary condition and establishes a new dual-media shale gas seepage model to accurately describe the seepage characteristics of shale gas reservoirs. The solution of the model is obtained using Laplace transformation and Similar Structure Method, and inverted into real space with the Stehfest numerical inversion method. The results show that elastic boundary conditions are closer to the actual situation of reservoir boundaries and simplify the process of solving the model.

SN APPLIED SCIENCES (2021)

添加到收藏夹

Article Engineering, Chemical

An accurate numerical method for inversion of Laplace transforms with applications in process dynamics and control

Hooman Fatoorehchi

Summary: In this paper, a novel numerical method for inverting Laplace transforms is developed, with proven efficiency and reliability through numerical simulations. The method is highly accurate and requires the Laplace transform function to only be defined on the real axis.

CANADIAN JOURNAL OF CHEMICAL ENGINEERING (2021)

添加到收藏夹

Article Mechanics

A semi-analytical approach to model drilling fluid leakage into fractured formation

Rami Albattat et al.

Summary: The study introduces a semi-analytical solution to model the flow of non-Newtonian drilling fluid in fractures. It is applicable for various fluid types and can estimate the range of fracture conductivity and predict the cumulative volume of lost fluid. By combining finite-element simulations with Monte Carlo method, the study generates probabilistic predictions to address subsurface uncertainty.

RHEOLOGICA ACTA (2021)

添加到收藏夹

Article Mathematics, Applied