Analysis and mathematical solutions for consolidation of a soil layer with depth-dependent parameters under confined compression

Guofu Zhu, Jianhua Yin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

20 Citations (Scopus)


This paper presents several analytical solutions for the consolidation analysis of a soil layer with fairly general laws of variation of permeability and compressibility for both a single-drained condition and a double-drained condition. The solution is described in detail. A normalized time, T, is suggested. The average degree of consolidation exhibiting very good normalized behavior is shown. It is also revealed that the excess pore-pressure distribution of a nonhomogeneous soil layer may be quite different from the conventional Terzaghi's solution. For the double-drained condition, some symmetrical characteristics of the average degree of consolidation and excess pore pressure are proved. Special cases of constant permeability, constant compressibility, or constant coefficient of consolidation, in which the other parameter is depth dependent, are analyzed on the basis of general analytical solutions. Results are presented in figures and tables for practical applications.
Original languageEnglish
Pages (from-to)451-461
Number of pages11
JournalInternational Journal of Geomechanics
Issue number4
Publication statusPublished - 1 Dec 2012


  • Analytical techniques
  • Clays
  • Consolidation
  • Soil settlement

ASJC Scopus subject areas

  • Soil Science

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