Evaluation of soil permeability from consolidation analysis based on Terzaghi’s and Biot’s theory

Abstract

1 Uni ver sity of War saw, Fac ulty of Ge ol ogy, ¯wirki i Wigury 93, 02-089 Warszawa, Po land 2 Cra cow Uni ver sity of Tech nol ogy, Fac ulty of En vi ron men tal En gi neer ing, Warszawska 24, 30-155 Kraków, Po land Dobak, P., Gaszyñski, J., 2015. Eval u a tion of soil per me abil ity from con sol i da tion anal y sis based on Terzaghi's and Biot's theories. Geo log i cal Quar terly, 59 (2): 373-381, doi: 10.7306/gq.1197Proper eval u a tion of per me abil ity pa ram e ters has a cru cial sig ni fi ca tion in multi-scale pre dic tion of con sol i da tion. Drain age path is con nected with the time of one-di men sional con sol i da tion in Terzaghi's the ory and nu mer ous later so lu tions. That is why the eval u a tion of per me abil ity fac tor al lows to model the set tle ment's time of geo log i cal lay ers based on re sults ob tained on a lab o ra tory scale. Nu mer ous tests show a dif fer ence of the con sol i da tion de gree ob tained from one-di men sional strain course and pore pres sure dis tri bu tion. Eval u a tion of con sol i da tion co ef fi cient c v based on a newly pro posed method al lows better un der stand ing of the ba sic rea sons of un con ven tional be hav iour of tested soils. Un paral lel char ac ter is tics of strain and pore pres sure dis tri bu tion show im por tant role of soil's skel e ton creep and its re la tion to per me abil ity as pects. So lu tions pro posed by Biot's the ory al low ana lys ing the dif fer ent ve loc ity of strain and pore pres sure dis tri bu tion. The ar ti cle pres ents a new ap prox i mated method based on Terzaghi's the ory and eval u a tion of pa ram e ters which are nec es sary in ap pli ca tion of Biot's one-di men sional so lu tion. These pa ram e ters are con nected with com press ibil ity and co ef fi cient of per me abil ity. The goal of pre sented meth od olog i cal stud ies is com par i son be tween per me abil ity ob tained from ap pli ca tion of Terzaghi's and Biot's theories. It al lows try ing to ex plain phys i cal rea sons of dif fer ences be tween ap plied mod els and test ing re sults, and improv ing the meth od ol ogy of one-di men sional con sol i da tions tests. Key words: con sol i da tion, co he sive soils, Terzaghi's the ory, Biot's the ory, per me abil ity, geo log i cal bar ri ers, in su la tion proper ties.

Experimental insights into consolidation rates during one-dimensional loading with special reference to excess pore water pressure

“…Given that this is a mono-objective problem, c v with the lowest error was selected and was considered as the optimal value for experimental results. Such approaches have been adopted and validated for various natural and artificial geomaterials by Dobak and Gaszyński [14], Olek and Pilecka [47] and Olek [45]. To carry out the GR method at a suitable level of accuracy, a function that could evaluate the error between the experimental and theoretical solutions and then minimise this function should be defined.…”

“…In other respects, research on laboratory measured pore water pressure highlighted that the derived vertical coefficient of consolidation, c v , differs significantly compared to that determined from compression data [14,44,48,49,53,66]. Robinson [51] proposed a linear relationship between pore water pressure and compression for determining c v .…”

Investigation on Calculation Method of Permeability Coefficient in the Consolidation Process of Cohesive Soil

“…Dumais and Komrad used the nonlinear relationships of effective stress, void ratio, and hydraulic conductivity to characterize the properties of thawing soil and established a onedimensional model for consolidation of thawing soil based on the large strain consolidation theory and heat-transfer equations [19]. Based on Terzaghi's theory, Dobak and Gaszyński obtained a parameter evaluation method related to compressibility and permeability coefficient and improved the one-dimensional consolidation test method [20]. Yazdani et al derived a set of nonlinear partial differential equations by utilizing the relationship between the void ratio and effective stress as well as the relationship between the void ratio and permeability, which are used to predict the consolidation characteristics of normally consolidated and overconsolidated soft clay subjected to cyclic loading [21,22].…”

Anisotropic Rock Poroelasticity Evolution in Ultra‐low Permeability Sandstones under Pore Pressure, Confining Pressure, and Temperature: Experiments with Biot's Coefficient

“…Concerned about the state of such research at home and abroad, we identified three problems with previous study efforts (Ai et al, 2015;Bonomo et al, 2015;Dassanayake et al, 2015;Dobak et al, 2015;Rohan et al, 2020):…”