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- W2056556832 abstract "Discussion of this paper is invited. Three copies of any discussion should be sent to the Society of Petroleum Engineers Office. Such discussions may be presented at the above meeting and, with the paper, may be considered for publication in one of the two SPE magazines. Abstract A review of the progress made in the last 5years is presented. Modern methods of analysis as they relate to oilfield operations are examined. Darcy's law and its implication as related to a mobile matrix are examined. The specific problem considered is a one-dimensional shrinkage or expansion of a porous system to a step function change in pressure at the base of the column that may be considered to be either semi-infinite or finite. The theory presented in the review includes general forms of formation conductivity and pressure and couples the movement of soil particles and the associated mass flow of liquid. It is shown that the latter effect is extremely important. Further, the differences between consolidation and rebound (imbibition)processes are examined. It is shown that, even though a nonlinear equation results, analytical solutions exist for a class of problems. Illustrative examples are presented. The nonlinear equation has also been solved numerically and the solutions obtained have been correlated with constant property through a transformation that is similar to the real gas-pseudopressure. The effects of the overburden and gravity are examined separately. One aspect of consolidation or rebound that has resulted inconsiderable confusion is the choice of coordinate system (moving or stationary) to develope the mathematical model. This aspect is also examined in detail in this review. Introduction For over 3 decades, subsidence of the land surface has attracted the serious attention of a large number of workers in a wide variety of disciplines. More recently, there has been an added attraction mainly due to the environmental awakening, for man's activities have begun to inadvertently produce effects of considerable magnitude and human consequence. It is well known that a number of mechanisms operate whereby the land may collapse (see studies of Allen, wherein it is shown that the subsidence and compaction may be a result of a wide variety of disparate causes either natural or as a result of man'sactivities). Irrespective of the cause of the sinking of the land, mathematical models developed to understand and predict subsidence are based on the pioneering work of Terzaghi. Most of these analyses involve the basic assumptions of Terzaghils analysis, even though some of them do take into account the variation of permeability, compressibility, and the like.(See, for example, the papers by Biot and Davis and Raymond and texts by Jaeger and Wu.)" @default.
- W2056556832 created "2016-06-24" @default.
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- W2056556832 date "1972-10-08" @default.
- W2056556832 modified "2023-09-27" @default.
- W2056556832 title "A Review of the Consolidation and Rebound Processes in One-Dimensional Porous Columns" @default.
- W2056556832 doi "https://doi.org/10.2118/4078-ms" @default.
- W2056556832 hasPublicationYear "1972" @default.
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