Method, system, device, and medium for calculating temperature distribution in in-situ electrical heating of reservoir

A temperature distribution calculation system for in-situ electrical heating of a reservoir, characterized by comprising:

• a model construction module configured to establish a physical formation model of a formation in a near-wellbore zone;
• and
• constructing a mathematical physical equation for heat conduction and heat convection phenomena in the formation based on said physical formation model and the law of energy conservation:
• ρ
• ⁢
• c
• ⁢
• ∂
• T
• ∂
• t
• +
• ρ
• o
• ⁢
• c
• o
• ⁢
• v
• o
• →
• ⁢
• ∇
• T
• =
• ∇
• ·
• (
• k
• ⁢
• ∇
• T
• )
• +
• Q
• where ρ is formation rock density, c is formation rock specific heat capacity, T is formation temperature after heating time t, ρo is oil density, co is oil specific heat capacity, {right arrow over (vo)} is oil-phase flow velocity, k is thermal conductivity, and Q is internal heat source intensity of the formation, with the physical meaning of heat absorbed per unit volume per unit time;
• a parameter calculation module configured to calculate oil-phase flow velocity data within said physical formation model:
• v
• o
• →
• =
• p
• ⁡
• (
• r
• )
• -
• p
• w
• p
• ⁡
• (
• r
• )
• ×
• u
• o
• where {right arrow over (vo)} is oil-phase flow velocity, p(r) is pressure distribution in the radial direction, pw is Pressure at the Wellbore, and uo is Darcy Flow Velocity;
• calculating internal heat source intensity distribution data generated by in-situ electrical heating within said physical formation model;
• a temperature distribution calculation module, configured to substitute said oil-phase flow velocity data and said internal heat source intensity distribution data into said mathematical physics equation, and acquire temperature distribution data of the formation through integral solving.