Patent ID: 8655632

Claim:
A method, comprising: receiving structural data acquired from a subsurface earth volume; selecting points of the subsurface earth volume to model a property of the subsurface earth volume; propagating values for the property directly to the points in a gridless three-dimensional space associated with a structural framework model of the subsurface earth volume, wherein propagating the values comprises: transforming at least a portion of the seismic data from a real-space domain to a depositional space domain; and interpolating the seismic data in the depositional space domain at least partially along a sub-horizon to produce interpolated seismic data; and displaying the propagated values in an interactive visualization of the structural framework model; responding to user input with dynamic gridless browsing of the property displayed in the gridless three-dimensional space in real-time or near real-time; and optimizing a propagation function to achieve an acceleration enabling interactive gridless modeling, wherein the optimizing comprises using f ⁡ ( x ) = p ⁡ ( x ) + ∑ i = 1 N ⁢ λ i ⁢ Φ ⁡ (  x - x i  ︸ r ︸ ) , ⁢ f ⁡ ( x i ) = w i , ⁢ i = 1 , … ⁢ , N , ⁢ ∑ i = 1 n ⁢ λ i ⁢ q ⁡ ( x i ) = 0 , ∀ q ⁢ ∈ π k 3 , wherein p(x) is a polynomial of low-degree k, {λ i } is a set of weights and Φ is a fixed radial function from R + →R.