ON THE USE OF OPTIMUM TIME INTERVALS IN SOIL CONSOLIDATION PROBLEMS

IT IS OBSERVED THAT IN MANY CONSOLIDATION PROBLEMS CARRIED OUT WITH EQUAL TIME STEPS, THE ISOCHROMES BECOME CLOSER AND CLOSER TOGETHER IN TIME, SO THAT THE AMOUNT OF ADDITIONAL INFORMATION PROVIDED PER TIME STEP, IN THE FORM OF ADDITIONAL SETTLEMENT, BECOMES PROGRESSIVELY LESS. FOR THE INVESTIGATION OF DECREASING RATE OF SETTLEMENT WITH TIME, A CONFIGURATION SPACE IS USED IN WHICH EACH POINT REPRESENTS A STATE OF THE PORE-PRESSURE SYSTEM. THE MEASURE OF DISTANCE, OR METRIC OF THIS SPACE IS CHOSEN SUCH THAT THE DISTANCE BETWEEN ANY TWO REPRESENTATIVE POINTS IN THE SPACE IS IDENTICAL TO THE SETTLEMENT OCCURRING BETWEEN THE TWO CORRESPONDING PORE-PRESSURE STATES. THE RATE OF CONSOLIDATION IS EQUAL TO THE NET RATE OF LOSS OF WATER, WHICH IN THE CASE OF A HOMOGENEOUS SOIL IS ITSELF PROPORTIONAL TO THE DEFFERENCE BETWEEN THE BOUNDARY PORE- PRESSURE GRADIENTS. FROM THIS INVESTIGATION A SIMPLE PROCEDURE FOR OBTAINING APPROXIMATELY UNIFORM STEPS IN THE CONFIGURATION SPACE, AND THUS IN CONSOLIDATION, IS DETERMINED FOR LINEAR AND NON-LINEAR, SINGLE AND MULTILAYERED SOILS. THE PROCEDURE MAY BE APPLIED TO THE NUMERICAL SOLUTION OF OTHER PROBLEMS GOVERNED BY AN EQUATION OF THE 'HEAT FLOW' TYPE AS, FOR EXAMPLE, OCCUR IN THE STUDY OF UNSTEADY GROUND WATER FLOW. /AUTHOR/

  • Supplemental Notes:
    • Vol 10, No 3, PP 71-83
  • Corporate Authors:

    Stichting Waterbouwkundig Lab /Neth

    ,    
  • Authors:
    • Abbot, M B
    • De Leeuw, E H
  • Publication Date: 1966-1

Subject/Index Terms

Filing Info

  • Accession Number: 00234223
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Aug 15 2004 7:32PM