Early measurements of gravity by the Survey of India using pendulums and deflections of the vertical had shown the central Indian Plateau to possess excess mass, which Sir Sydney Burrard termed the "Hidden Range". In 1917 Oldham reasoned the excess mass was caused by an upwarped region of dense subsurface rocks (that we now call the mantle). In a summary of the evidence he published a 1000-km-long N/S cross-section of India flexed by the weight of the Himalaya providing a physical explanation for the bulge. We now believe that earthquakes in central India are largely driven by these flexural forces (Bilham et al, 2003). Oldham's section was drafted 60 years before developments in plate tectonics quantified a flexural explanation for the outer rise.

In short order it was criticised by Glennie and by Burrard .Geological Interpretations of Geodetic Results: A Critical Examination of Mr. R. D. Oldham's Recent Treatise on Himalayan Structure Sidney Burrard
Geographical Journal, Vol. 52, No. 4 (Oct., 1918), pp. 237-248 doi:10.2307/1779891 See summary discussion by Morley Davies 1918

1914

On the Effect of the Gangetic Alluvium on the Plumb-Line in Northern India Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 90, No. 615 (Apr. 1, 1914), pp. 32-41

1916

Gravity Deflections in the Andes (in Correspondence) Geographical Journal, Vol. 48, No. 2. (Aug., 1916), pp. 181-182.jstor

On the Accuracy of Basevi's Determinations of the Value of Gravity in India. Geographical Journal, Vol. 48, No. 3. (Sep., 1916), pp. 257-260.

1917

The structure of the Himalayas, and of the Gangetic Plain, elucidated by Geodetic Observations in India, Mem. Geol. Surv. India, 42(2), pp.150-300, Calcutta (1917).

Discussion on Mr. Harding King's Paper "Study of a Dune Belt"Vaughan Cornish; R. D. Oldham; Godfrey Sykes; J. W. Evans; J. S. Owens; Mr. Hinks; Mr. Reeves; W. J. Harding King; Dr. Cornish, Geographical Journal, Vol. 51, No. 4. (Apr., 1918), pp. 250-258.

1918

A seasonal variaton in the frequency of earthquakes. Quart. J. Geological Soc. Lond. 74(1), 99-104 (1918-1919)

1919

The Support of the Mountains of Central Asia (Being an appendix to the Memoir on the structure of the Himalayas, and of the Gangetic Plain, as elucidated by Geodetic Observations, Records of the Geol. Surv. of India, 49, 117-137 (1919).

1920

A Brief Review of the Evidence upon Which the Theory of Isostasy Has Been Based: Discussion H. G. Lyons, Morley Davies, R. D. Oldham, E. H. Hills, G. T. McCaw, Major Wolff, Mr. Hinks, Sidney Burrard Geographical Journal, Vol. 56, No. 1 (Jul., 1920), pp. 52-59 doi:10.2307/1781295

1921

A seasonal variation in the frequency of earthquakes (Second Communication). Quart. J. Geological Soc. Lond. 77(1), 1-3 (1921)

Know your faults (Presidential Address) Q.J. Geol. Soc London 77, 77-92 (1921) The anniversary Address of the President Proc. Geol. Soc.London 77, lxxvii-lxiii, (1921)

1922

The African Rift Valleys,The Geographical Journal, Vol. 59, No. 2. (Feb., 1922), p. 151.

1923

Wegener's Hypothesis of Continental Drift: Discussion G. W. Lamplugh, R. D. Oldham, F. Debenham, Harold Jeffreys, Dr. Evans, C. S. Wright, Geographical Journal, Vol. 61, No. 3 (Mar., 1923), pp. 188-194
doi:10.2307/1781671

1924

Doubts and Suggestions on Terrestrial Isostasy: Discussion, by The Earl of Ronaldshay; Mr. Hinks; Sidney Burrard; Frank Dyson; Morley Davies; G. W. Lamplugh; R. D. Oldham; Charles Close; Colonel Crosthwait; J. W. Evans; Harold Jeffreys. Geographical Journal, 64, 35-45, (1924) Oldham's contribution 40-41,.1925

The Portolan Maps of the Rhone Delta: A Contribution to the History of the Sea Charts of the Middle Ages, Geographical Journal, (Read 16 March 1925) 65( 5). (May, 1925), pp. 403-424 jstor. Discussion)The Portolan Maps of the Rhone Delta: Geoffrey Callender, E. Heawood, R. D. Oldham, Geographical Journal, Vol. 65, No. 5 (May, 1925), pp. 424-428 doi:10.2307/1782549 JSTOR

1925

Observations on the Rocks and Glaciers of Mount Everest: Discussion R. D. Oldham; A. F. R. Wollaston; F. G. Binney; N. E. Odell. Geographical Journal, Vol. 66, No. 4. (Oct., 1925), pp. 313-315. Oldham expresses interest in Heron's Everest report but indicates he has never been higher than 20,000 ft. jstor

1926

The post Roman history of the Rhone Delta, Science Progress, 20, 487-496, London 1926. (check authorship)

The Cutch (Kach) earthquake of 16th June 1819 with a revision of the Great earthquake of the 12th June 1897,   Mem. Geol. Surv. India, 46, pp.80-147, Calcutta.

The Depth of Origin of Earthquakes, Quart. J. Geological Soc. Lond., 82(1), 67-93, (1926).

1928

The Antonine Itinerary of the Aurelian Road between Aix and Arles
Geographical Journal, Vol. 72, No. 1 (Jul., 1928), pp. 58-60 doi:10.2307/1782141jstor

1930

Historic changes of level in the delta of the Rhone, Quart. J. Geological Soc. Lond 86, 64, (1930) .

Diurnal period in Italian earthqakes International Seismological Summary for 1930. By International Union of Geodesy and Geophysics, British Association Seismological Committee, University of Oxford, University of Oxford Observatory

1934

The Age and Origin of the lower Rhone. Quart. J. Geological Soc. Lond., 90(3), 445-461 (1934). Reviewed by M. Cary The Age and Origin of the Lower Rhone by R. D. Oldham Classical Review, Vol. 49, No. 4 (Sep., 1935), pp. 143-144