A phenomenolo$jical model is presented to optimize the performance and to minimize the costs of gravel-packs, which are subjected to severe flow and pressure conditions. The theoretical basis for the development of the model equations is discussed and the equations are derived to represent the mechanisms involved in gravel-pack damage. This model is an averaged representation of the experimentally observed step-like motion of particulate, which is characteristic for particulate transport in gravelpack. An implicit finite difference solution of the gravelpack damage model is utilized.The identification of the model parameters is emphasized. The influence of error in the determination of parameters is estimated by performing a sensivity analysis. Of the three parameters, namely the amount of mobile particulate, the particle deposition rate constant, and particle mobilization rate constant, the last one is found to be less important because particle mobilization is sensitiva to reduced transport capacity of the clogged gravel-pack The model has been verified by data from a set of 35 experiments conducted via large scale non-Darcy flow tests with optically transparent filtration cell. The predictions of the model are found in reasonable agreement with the test results with respect to the particulate migration distance and the amount of mobile particulate. rI
There are numerous design criteria available for gravel-packs based on the well-known gravel-to-sand grain size ratio. These rules are mainly derived from the interpretation of compatibility experiments. The favourable gravel-to-sand ratios are deter-mined within the limits set by successful and unsuccessful tests. Because of empirical approach, various influences have to be considered due to different test setup and evaluation of experi-ments. In this paper, the types of design criteria, the similarities and differences between the various methods, the uncertainties in the use of these design criteria, and the gaps in current knowl-edge are described. Applicability of these purely geometrical methods under fluctuating flow, methods relating to sand reten-tion, permeability impairment, clogging and acceptable quantity of sand within a certain depth of penetration into the gravel are discussed. IntroductionSince gravel-packs are recognized as the most popular sand prevention method. numerous gravel-pack design criteria have been developed roughly a quarter of a century a@,o. These methods have ranged from using simple geometrical approach on easily measurable sand and gravel properties to performing filtration tests with representative reservoir sand and the proposed gravel-pack. The latter have generally been regarded as being better indi-cators of future gravel-pack performance. However, as sand parti-cles of reservoirs are structured at random, it is almost impossible to describe interaction between sand and -ravel theoretically in a rigorous manner. All existing gravel-pack design criteria are more or less based on laboratory tests with defined sLL[id-gravel combi-nations and can therefore onlv be applied in connection with the respective combinations and test conditions. However, despite careful application of these rutes, hiah pressure drop and reduc-tion in production rate are still associated with this exclusion tech-niclue. Consequently, a gravel-pack seems to change its structure, permeability and pressure differential over the course of a filtra-tion period. Thus, there is a certain unpredictability about the process ot' sand exclusion due to the inability of t'ully describing the mechanisms and the properties of ,t-avel-sand/fluids system and of relating properties and mechanistils to the performance of materials. So far, there is not much known @lbout the reliability of gr@ivel-packs that are designed on the basis ot' different geometri-cal criteria, in particular in cases where the @rain size distribution of the produced formations is not well known. lii addition, perfor-mance tests only qualitatively evaluate gr@ivel-packs, and therefore discourage improvement of gravel-pack design by not providing January 1995, Volume 34, No. 1 quantitatiN e perf4:)rmance measures.Gravel-pack clesign methods based on gravel-to-sand size ratio results have been more readily accepted because they are easy to use and e@isily implemented into practice. However, there is con-siderable variability between these methods, ...
A phenomenolo$jical model is presented to optimize the performance and to minimize the costs of gravel-packs, which are subjected to severe flow and pressure conditions. The theoretical basis for the development of the model equations is discussed and the equations are derived to represent the mechanisms involved in gravel-pack damage. This model is an averaged representation of the experimentally observed step-like motion of particulate, which is characteristic for particulate transport in gravelpack. An implicit finite difference solution of the gravelpack damage model is utilized.The identification of the model parameters is emphasized. The influence of error in the determination of parameters is estimated by performing a sensivity analysis. Of the three parameters, namely the amount of mobile particulate, the particle deposition rate constant, and particle mobilization rate constant, the last one is found to be less important because particle mobilization is sensitiva to reduced transport capacity of the clogged gravel-pack The model has been verified by data from a set of 35 experiments conducted via large scale non-Darcy flow tests with optically transparent filtration cell. The predictions of the model are found in reasonable agreement with the test results with respect to the particulate migration distance and the amount of mobile particulate. rI
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