Rainfall-landslide relationship for Hong Kong Proc. Instn Civ. Engrs Geotech. Engng, 1995, 113, Apr., 117—118 J. N. Kay, BE, MS, PhD, FJE(Aust), FHKIE, and T. Chen, BSc, MSc, Mphil Ground Board Following experiences elsewhere, early Hong Kong researchers anticipated that the maximum landslide activity would be associated with an accumulative wetting process and build-up of pore-water pressures in the ground over a period of several days. More recently, attention has been focused on rainfall levels occurring during the preceding one hour as a preferable indicator. However, compilation of data in a way that includes both the hourly and daily rainfalls together with the intensity of landslide activity demonstrates that this combination of time periods may be superior as an indicator of landslide activity. logical and meteorological environments to those of Hong Kong that indicate rainfalls over relatively long periods to be significant for subsequent landslides. For example, Peck (1967)~ determined that creep movements at Moanaloa, Hawaii, compared best with ten-day antecedant rainfall, i.e. the cumulative rainfall over the ten days immediately preceding the creep measured for that day. A similar approach was taken for Hong Kong by Lumb (1975)~ as shown in Fig. 1, but as more detailed information emerged some doubt was thrown on the value of this indicator for Hong Kong by Brand et al. (1984).~ Brand demonstrated that the one-hour rainfall associated with the landslide activity was a far more relevant indicator. Introduction The combination of steep slopes and highintensity rainfall leads to major landslide problems in Hong Kong. Careful attention is required in construction planning in order to minimize the potential risk of damage to life and property, and commendable contributions have been made by the Geotechnical Engineering Office (GEO), formerly the Geotechnical Control Office, of the Hong Kong Government in addressing design and maintenance procedures and ensuring a significant decrease in reported damage levels. However, the problem is an ongoing one and an important specific measure adopted by the GEO has been the establishment of formal data gathering procedures. These have included the installation of automatic rainfall data acquisition systems and formalized procedures for gathering data on landslide events from the government departments most closely involved. Details of these have been reviewed most recently by Premchitt et al.’ Since 1984, data have been summarized and reported in annual publications.2 The data are extremely valuable for various aspects of ongoing research. Of specific interest to the public is its value in relation to the Hong Kong Landslide Warning System. Consideration of the data from these reports by the Authors in terms of daily and hourly rainfall levels has led to a consistent relationship for probability levels of landslide activity, and it suggests a possible basis for improvement of criteria for the present warning procedures. Alternative plot details 3. It may be noted from Fig. 1 that a reasonable, though imperfect, correlation of data was obtained by Lumb.4 However, any form of the correlation is likely to be good, provided the time periods are reasonable, simply on the basis that a high correlation would be expected among hourly, daily and 15 day rainfall levels. On the other hand, the probability of a landslide occurring is closely associated with the maximum pore-water pressure generated in the ground, and this will depend on the level of rainfall intensity as well as the time period for that intensity. No doubt, different relative combinations will be critical for different slopes; higher pore-water pressures may be produced in some cases where a longer period at a lower maximum intensity exists, and in others where a shorter period at higher maximum intensity exists. It is doubtful that this matter can be approached in a fundamental way. The best method is probably to continue to examine alternative ways of plotting the measured data. 4. Figure 2 shows a plot of daily rainfall against hourly rainfall, with different symbols indicating different levels of landslide activity at the time of the event in a similar form to that of Lumb.4 A major difference, however, is that in addition to the rainfall events for various levels of landslide activity, all cases are shown when rainfall exceeded 50 mm/day, including those cases when no landslide activity occurred. The advantage of this approach is that the relative frequencies of landslide occurrence for ranges of rainfall states can be assessed. This provides some approximate quantitative guidance to the probability levels of landslide activity for the various corn- Earlier correlations 2. Important contributions have been made in other parts of the world in different geo- Geotechnical Engineerin~ Advisory Panel Paper 10729 Written discussion closes 15 June 1995 J. N. Kay, Senior Lecturer, University of Hong Kong T. Chen, Research Assistant, University of Hong Kong 117 Fig. 1. Rainfall— landslide relationship after Lumb (1975)4. binations of hourly and daily rainfall. It may be observed from Fig. 2 that it is possible to establish a simple combination of zones within which valuable probability assessments may be made. Significantly, the results are such that the probability levels implied are highly consistent from zone to zone, and this provides some level of confidence in the results. For each of the zones shown in Fig. 2, the frequency of landslide occurrences in relation to total events was calculated and these values were used as a guide to selection of the probability ranges shown in Table 1. substituting the constant s from Table 2 into Equation (1). For example, the equation for the boundary between Zones 3 and 4 is given by Equations for zone boundaries 5. The zone boundaries shown on Fig. 2 are given by the simple relationship where h is the hourly rainfall and d is the daily rainfall. The slope coefficients s are given in Table 2. The equations of each of the zone boundaries shown in Fig. 2 may be obtained by Conclusions 6. An initial proposal by Lumb4 to relate shorter- and longer-term rainfall occurrences to landslide activity for Hong Kong established a valuable basis for analysis of the problem. However, the respective time periods chosen were not optimum. Extensive data compiled by the GEO since the time of Lumb’s work now permit some improvement in the relevant criteria. It is clear that it is useful to consider both hourly and daily rainfall levels in order to optimize prediction capabilities. A somewhat more quantitative approach to the likelihood of landslide implications for various rainfall conditions is now possible. References Fig. 2. Rainfall— landslide relationship based on 1984—1992 CEO data 1. PI~aMcInn J. et al. Rain-induced landslides in Hong Kong, 1972—1992. Asia Engr, I. Hong Kong Jnstn Engrs, 1994, June, 43—51. 2. GE0TECHNICAL ENGINEERING OFFICE. Hong Kong rainfall and landslides. GEO reports Nos 1—6, 14, 20, 35. Government Publications Centre, Hong Kong, 1984—1992. 3. PECK R. B. Stability of natural slopes.!. Soil Mech. Fdns Div. Am. Soc. Civ. Engrs, 1967, 9S, No. SM4, July, 403—418. 4. LuMB P. Slope failures in Hong Kong. Quart. J. Engng Ceo 1., 1975, 8, 31—65. 5. BRAND E. W. et al. Relationship between rainfall and landslides in Hong Kong. Proc. 4th Int.. Symp. Landslides, Toronto, 1984. Vol. 1, 377—384. 118 119